Math, asked by sukhil6143, 5 months ago

Find the g.c.d of 826 and 1890. With explanation ​

Answers

Answered by tsushil361
0

Answer:

The instructions to find the GCF of 826 and 1890 are the next:

1. Decompose all numbers into prime factors

826 2 413 7 59 59 1 1890 2 945 3 315 3 105 3 35 5 7 7 1

2. Write all numbers as the product of its prime factors

Prime factors of 826 = 2 . 7 . 59

Prime factors of 1890 = 2 . 33 . 5 . 7

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 7

Common prime factors with the lowest exponent: 21, 71

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 21. 71 = 14

Answered by Agastya0606
0

G.C.D of 826 and 1890 is 14.

Given,

826 and 1890.

To find,

G.C.D of 826,1890.

Solution,

The full form of H.C.F. is the Highest Common Factor.

G.C.D. stands for Greatest Common Divisor.

We can find G.C.D in different methods, like Long Division Method, Prime Factorization Method and Listing Common Factors.

G.C.D. of two or more given numbers is the greatest factor that divides the numbers.

Prime Factorization Method is used here.

The prime factors of 826: 2,7,59

1890: 2,3^{3},5,7

The common prime factor is 2,7 means 14

We can use any other method to find the G.C.D. of given numbers but the answer will be the same.

So,

G.C.D of 826 and 1890 is 14.

#SPJ2

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