GCD of 957, 968, 946, 314 Calculator

Given Input numbers are 957, 968, 946, 314

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 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (957, 968, 946, 314) = 1.

Given numbers are 957, 968, 946, 314

The list of prime factors of all numbers are

Prime factors of 957 are 3 x 11 x 29

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 946 are 2 x 11 x 43

Prime factors of 314 are 2 x 157

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

Given numbers are 957, 968, 946, 314

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

Apply this formula for all numbers.

Step1:

LCM(957, 968) = 84216

GCD(957, 968) = ( 957 x 968 ) / 84216

= 957 / 968

= 957

Step2:

LCM(11, 946) = 946

GCD(11, 946) = ( 11 x 946 ) / 946

= 11 / 946

= 11

Step3:

LCM(11, 314) = 3454

GCD(11, 314) = ( 11 x 314 ) / 3454

= 11 / 314

= 11

So, Greatest Common Divisor of 957, 968, 946, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 676, 670, 320
• GCD of 606, 294, 983, 593
• GCD of 719, 477, 261, 172
• GCD of 185, 926, 931, 592
• GCD of 840, 117, 193, 188

Given numbers are 957, 968, 946, 314
The greatest common divisor of numbers 957, 968, 946, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 968, 946, 314 is 1.

1. What is the GCD of 957, 968, 946, 314?

GCD of given numbers 957, 968, 946, 314 is 1

2. How to calculate the greatest common divisor of 957, 968, 946, 314?

We can find the highest common divisor of 957, 968, 946, 314 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, 968, 946, 314 i.e 1.

3. How can I use the GCD of 957, 968, 946, 314Calculator?

Out the numbers 957, 968, 946, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.