GCD of 122, 992, 972, 701 Calculator

Given Input numbers are 122, 992, 972, 701

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

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

GCD of numbers is the greatest common divisor

So, the GCD (122, 992, 972, 701) = 1.

Given numbers are 122, 992, 972, 701

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 701 are 701

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

Given numbers are 122, 992, 972, 701

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

Apply this formula for all numbers.

Step1:

LCM(122, 992) = 60512

GCD(122, 992) = ( 122 x 992 ) / 60512

= 122 / 992

= 122

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 701) = 1402

GCD(2, 701) = ( 2 x 701 ) / 1402

= 2 / 701

= 2

So, Greatest Common Divisor of 122, 992, 972, 701 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 396, 725, 170
• GCD of 109, 616, 846, 772
• GCD of 667, 274, 409, 551
• GCD of 396, 888, 126, 947
• GCD of 731, 301, 650, 402

Given numbers are 122, 992, 972, 701
The greatest common divisor of numbers 122, 992, 972, 701 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 992, 972, 701 is 1.

1. What is the GCD of 122, 992, 972, 701?

GCD of given numbers 122, 992, 972, 701 is 1

2. How to calculate the greatest common divisor of 122, 992, 972, 701?

We can find the highest common divisor of 122, 992, 972, 701 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 122, 992, 972, 701 i.e 1.

3. How can I use the GCD of 122, 992, 972, 701Calculator?

Out the numbers 122, 992, 972, 701 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.