GCD of 972, 762, 49, 296 Calculator

Given Input numbers are 972, 762, 49, 296

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

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 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (972, 762, 49, 296) = 1.

Given numbers are 972, 762, 49, 296

The list of prime factors of all numbers are

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

Prime factors of 762 are 2 x 3 x 127

Prime factors of 49 are 7 x 7

Prime factors of 296 are 2 x 2 x 2 x 37

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

Given numbers are 972, 762, 49, 296

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

Apply this formula for all numbers.

Step1:

LCM(972, 762) = 123444

GCD(972, 762) = ( 972 x 762 ) / 123444

= 972 / 762

= 972

Step2:

LCM(6, 49) = 294

GCD(6, 49) = ( 6 x 49 ) / 294

= 6 / 49

= 6

Step3:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1

So, Greatest Common Divisor of 972, 762, 49, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 329, 28, 383
• GCD of 849, 714, 92, 460
• GCD of 563, 713, 21, 350
• GCD of 298, 793, 12, 142
• GCD of 253, 236, 70, 779

Given numbers are 972, 762, 49, 296
The greatest common divisor of numbers 972, 762, 49, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 762, 49, 296 is 1.

1. What is the GCD of 972, 762, 49, 296?

GCD of given numbers 972, 762, 49, 296 is 1

2. How to calculate the greatest common divisor of 972, 762, 49, 296?

We can find the highest common divisor of 972, 762, 49, 296 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 972, 762, 49, 296 i.e 1.

3. How can I use the GCD of 972, 762, 49, 296Calculator?

Out the numbers 972, 762, 49, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.