GCD of 400, 745, 660, 957 Calculator

Given Input numbers are 400, 745, 660, 957

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 957 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 745, 660, 957) = 1.

Given numbers are 400, 745, 660, 957

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 745 are 5 x 149

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 957 are 3 x 11 x 29

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

Given numbers are 400, 745, 660, 957

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

Apply this formula for all numbers.

Step1:

LCM(400, 745) = 59600

GCD(400, 745) = ( 400 x 745 ) / 59600

= 400 / 745

= 400

Step2:

LCM(5, 660) = 660

GCD(5, 660) = ( 5 x 660 ) / 660

= 5 / 660

= 5

Step3:

LCM(5, 957) = 4785

GCD(5, 957) = ( 5 x 957 ) / 4785

= 5 / 957

= 5

So, Greatest Common Divisor of 400, 745, 660, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 277, 512, 661
• GCD of 621, 877, 113, 140
• GCD of 178, 336, 244, 550
• GCD of 617, 534, 898, 585
• GCD of 295, 771, 407, 961

Given numbers are 400, 745, 660, 957
The greatest common divisor of numbers 400, 745, 660, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 745, 660, 957 is 1.

1. What is the GCD of 400, 745, 660, 957?

GCD of given numbers 400, 745, 660, 957 is 1

2. How to calculate the greatest common divisor of 400, 745, 660, 957?

We can find the highest common divisor of 400, 745, 660, 957 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 400, 745, 660, 957 i.e 1.

3. How can I use the GCD of 400, 745, 660, 957Calculator?

Out the numbers 400, 745, 660, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.