GCD of 957, 704, 420, 772 Calculator

Given Input numbers are 957, 704, 420, 772

In the factoring method, we have to find the divisors of all numbers

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (957, 704, 420, 772) = 1.

Given numbers are 957, 704, 420, 772

The list of prime factors of all numbers are

Prime factors of 957 are 3 x 11 x 29

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 772 are 2 x 2 x 193

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 957, 704, 420, 772

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(957, 704) = 61248

GCD(957, 704) = ( 957 x 704 ) / 61248

= 957 / 704

= 957

Step2:

LCM(11, 420) = 4620

GCD(11, 420) = ( 11 x 420 ) / 4620

= 11 / 420

= 11

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 957, 704, 420, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 301, 780, 623
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Given numbers are 957, 704, 420, 772
The greatest common divisor of numbers 957, 704, 420, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 704, 420, 772 is 1.

1. What is the GCD of 957, 704, 420, 772?

GCD of given numbers 957, 704, 420, 772 is 1

2. How to calculate the greatest common divisor of 957, 704, 420, 772?

We can find the highest common divisor of 957, 704, 420, 772 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 957, 704, 420, 772 i.e 1.

3. How can I use the GCD of 957, 704, 420, 772Calculator?

Out the numbers 957, 704, 420, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.