GCD of 961, 268, 106, 974 Calculator

Given Input numbers are 961, 268, 106, 974

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

Divisors of 961 :

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

1, 31, 961

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 974 :

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

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (961, 268, 106, 974) = 1.

Given numbers are 961, 268, 106, 974

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 268 are 2 x 2 x 67

Prime factors of 106 are 2 x 53

Prime factors of 974 are 2 x 487

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

Given numbers are 961, 268, 106, 974

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

Apply this formula for all numbers.

Step1:

LCM(961, 268) = 257548

GCD(961, 268) = ( 961 x 268 ) / 257548

= 961 / 268

= 961

Step2:

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

= 1 / 106

= 1

Step3:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

So, Greatest Common Divisor of 961, 268, 106, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 364, 984, 727
• GCD of 319, 136, 354, 437
• GCD of 210, 502, 510, 409
• GCD of 412, 251, 333, 337
• GCD of 492, 318, 808, 843

Given numbers are 961, 268, 106, 974
The greatest common divisor of numbers 961, 268, 106, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 268, 106, 974 is 1.

1. What is the GCD of 961, 268, 106, 974?

GCD of given numbers 961, 268, 106, 974 is 1

2. How to calculate the greatest common divisor of 961, 268, 106, 974?

We can find the highest common divisor of 961, 268, 106, 974 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 961, 268, 106, 974 i.e 1.

3. How can I use the GCD of 961, 268, 106, 974Calculator?

Out the numbers 961, 268, 106, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.