Question

Find the HCF of the number in each of the following using the prime factorization method 1197,5320,4389

Answer 1

prime factorization method

→1197= 3 x 3 x 7 x 19

→5320= 2 x 2 x 2x 5 x 7 x 19

→4389= 3 x 7 x 11 x 19

→HCF= 7 x 19 = 133

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Answer 2

Answer:

H.C.F. of 1197, 5320 and 4389 = 133

Step-by-step explanation:

The number whose H.C.F. we need to find are given to be : 1197, 5320, 4389

The H.C.F. is to find out by using prime factorization, So finding the prime factors of the given three numbers

1197 = 3 × 3 × 7 × 19

5320 = 2 × 2 × 2 × 5 × 7 × 19

4389 = 3 × 7 × 11 × 19

Now, To find the H.C.F. find the common factors in all the three numbers

So, Common Factors = 7 and 19

Hence, H.C.F. of 1197, 5320 and 4389 = 7 × 19

                                                                   = 133