GCD of 760, 972, 426, 472 Calculator

Given Input numbers are 760, 972, 426, 472

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (760, 972, 426, 472) = 2.

Given numbers are 760, 972, 426, 472

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Prime factors of 426 are 2 x 3 x 71

Prime factors of 472 are 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 760, 972, 426, 472 is 2.

Given numbers are 760, 972, 426, 472

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

Apply this formula for all numbers.

Step1:

LCM(760, 972) = 184680

GCD(760, 972) = ( 760 x 972 ) / 184680

= 760 / 972

= 760

Step2:

LCM(4, 426) = 852

GCD(4, 426) = ( 4 x 426 ) / 852

= 4 / 426

= 4

Step3:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

So, Greatest Common Divisor of 760, 972, 426, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 243, 740, 439
• GCD of 231, 896, 464, 327
• GCD of 400, 959, 775, 735
• GCD of 346, 154, 343, 786
• GCD of 624, 897, 494, 925

Given numbers are 760, 972, 426, 472
The greatest common divisor of numbers 760, 972, 426, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 972, 426, 472 is 2.

1. What is the GCD of 760, 972, 426, 472?

GCD of given numbers 760, 972, 426, 472 is 2

2. How to calculate the greatest common divisor of 760, 972, 426, 472?

We can find the highest common divisor of 760, 972, 426, 472 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 760, 972, 426, 472 i.e 2.

3. How can I use the GCD of 760, 972, 426, 472Calculator?

Out the numbers 760, 972, 426, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.