GCD of 428, 726, 37, 972 Calculator

Given Input numbers are 428, 726, 37, 972

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 37 :

The positive integer divisors of 37 that completely divides 37 are.

1, 37

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

GCD of numbers is the greatest common divisor

So, the GCD (428, 726, 37, 972) = 1.

Given numbers are 428, 726, 37, 972

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 37 are 37

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

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

Given numbers are 428, 726, 37, 972

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

Apply this formula for all numbers.

Step1:

LCM(428, 726) = 155364

GCD(428, 726) = ( 428 x 726 ) / 155364

= 428 / 726

= 428

Step2:

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

= 2 / 37

= 2

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 428, 726, 37, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 732, 63, 453
• GCD of 435, 172, 24, 453
• GCD of 341, 244, 35, 677
• GCD of 989, 534, 13, 765
• GCD of 295, 989, 48, 795

Given numbers are 428, 726, 37, 972
The greatest common divisor of numbers 428, 726, 37, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 726, 37, 972 is 1.

1. What is the GCD of 428, 726, 37, 972?

GCD of given numbers 428, 726, 37, 972 is 1

2. How to calculate the greatest common divisor of 428, 726, 37, 972?

We can find the highest common divisor of 428, 726, 37, 972 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 428, 726, 37, 972 i.e 1.

3. How can I use the GCD of 428, 726, 37, 972Calculator?

Out the numbers 428, 726, 37, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.