GCD of 974, 748, 961, 344 Calculator

Given Input numbers are 974, 748, 961, 344

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (974, 748, 961, 344) = 1.

Given numbers are 974, 748, 961, 344

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 961 are 31 x 31

Prime factors of 344 are 2 x 2 x 2 x 43

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

Given numbers are 974, 748, 961, 344

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

Apply this formula for all numbers.

Step1:

LCM(974, 748) = 364276

GCD(974, 748) = ( 974 x 748 ) / 364276

= 974 / 748

= 974

Step2:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2

Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

So, Greatest Common Divisor of 974, 748, 961, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 241, 850, 840
• GCD of 562, 241, 870, 667
• GCD of 754, 712, 365, 527
• GCD of 592, 377, 890, 357
• GCD of 248, 512, 184, 227

Given numbers are 974, 748, 961, 344
The greatest common divisor of numbers 974, 748, 961, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 748, 961, 344 is 1.

1. What is the GCD of 974, 748, 961, 344?

GCD of given numbers 974, 748, 961, 344 is 1

2. How to calculate the greatest common divisor of 974, 748, 961, 344?

We can find the highest common divisor of 974, 748, 961, 344 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 974, 748, 961, 344 i.e 1.

3. How can I use the GCD of 974, 748, 961, 344Calculator?

Out the numbers 974, 748, 961, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.