Math, asked by kaushik8948, 9 months ago

find that hcf of 428 ,508and 600

Answers

Answered by aditiad205smf
0

Answer:

Step-by-step explanation: the answer is

Prime Factorization of 428

Prime factors of 428 are 2, 107. Prime factorization of 428 in exponential form is:

428 = 22 × 1071

Prime Factorization of 600

Prime factors of 600 are 2, 3, 5. Prime factorization of 600 in exponential form is:

600 = 23 × 31 × 52

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214

Factors of 600

List of positive integer factors of 600 that divides 428 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300

Greatest Common Factor

We found the factors and prime factorization of 428 and 600. The biggest common factor number is the GCF number.

So the greatest common factor 428 and 600 is 4.

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

Prime Factorization of 508

Prime factors of 508 are 2, 127. Prime factorization of 508 in exponential form is:

508 = 22 × 1271

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2

Factors of 508

List of positive integer factors of 508 that divides 4 without a remainder.

1, 2, 4, 127, 254

Greatest Common Factor

We found the factors and prime factorization of 4 and 508. The biggest common factor number is the GCF number.

So the greatest common factor 4 and 508 is 4.

So the answer is 4

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Answered by mailmesakthiv
0

Answer:

HCF = 4

Step-by-step explanation:

Step 1 : we should find ;

                                              HCF(600,428):                          

                                                                         600 = 428 x 1 + 172

                                                                         428 = 172 x 2 + 84

                                                                          172 = 84 x 2 + 4

                                                                           84 =  4 x 21 + 0

So,

   HCF (600,428) = 4

Now, we should find ;

                                              HCF (508,4) :

                                                                       508 = 4 x 127 + 0

So,

   HCF (508,4) = 4

                                   

                                   ∴ HCF (600,508,428) = 4 .

                              ---------------------------X-----------------------------

     

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