GCD of 524, 844, 972, 152 Calculator

Given Input numbers are 524, 844, 972, 152

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

GCD of numbers is the greatest common divisor

So, the GCD (524, 844, 972, 152) = 4.

Given numbers are 524, 844, 972, 152

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 844 are 2 x 2 x 211

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

Prime factors of 152 are 2 x 2 x 2 x 19

The highest common occurrence is 2²

Therefore, GCD of 524, 844, 972, 152 is 4.

Given numbers are 524, 844, 972, 152

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

Apply this formula for all numbers.

Step1:

LCM(524, 844) = 110564

GCD(524, 844) = ( 524 x 844 ) / 110564

= 524 / 844

= 524

Step2:

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

= 4 / 972

= 4

Step3:

LCM(4, 152) = 152

GCD(4, 152) = ( 4 x 152 ) / 152

= 4 / 152

= 4

So, Greatest Common Divisor of 524, 844, 972, 152 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 615, 296, 543
• GCD of 852, 440, 210, 896
• GCD of 199, 255, 653, 301
• GCD of 582, 192, 539, 609
• GCD of 391, 992, 790, 851

Given numbers are 524, 844, 972, 152
The greatest common divisor of numbers 524, 844, 972, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 844, 972, 152 is 4.

1. What is the GCD of 524, 844, 972, 152?

GCD of given numbers 524, 844, 972, 152 is 4

2. How to calculate the greatest common divisor of 524, 844, 972, 152?

We can find the highest common divisor of 524, 844, 972, 152 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 524, 844, 972, 152 i.e 4.

3. How can I use the GCD of 524, 844, 972, 152Calculator?

Out the numbers 524, 844, 972, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.