GCD of 972, 752, 86, 746 Calculator

Given Input numbers are 972, 752, 86, 746

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 86 :

The positive integer divisors of 86 that completely divides 86 are.

1, 2, 43, 86

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (972, 752, 86, 746) = 2.

Given numbers are 972, 752, 86, 746

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 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 86 are 2 x 43

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 972, 752, 86, 746 is 2.

Given numbers are 972, 752, 86, 746

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

Apply this formula for all numbers.

Step1:

LCM(972, 752) = 182736

GCD(972, 752) = ( 972 x 752 ) / 182736

= 972 / 752

= 972

Step2:

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

= 4 / 86

= 4

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 972, 752, 86, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 870, 68, 930
• GCD of 590, 604, 72, 677
• GCD of 677, 279, 12, 851
• GCD of 734, 462, 14, 772
• GCD of 846, 472, 37, 204

Given numbers are 972, 752, 86, 746
The greatest common divisor of numbers 972, 752, 86, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 752, 86, 746 is 2.

1. What is the GCD of 972, 752, 86, 746?

GCD of given numbers 972, 752, 86, 746 is 2

2. How to calculate the greatest common divisor of 972, 752, 86, 746?

We can find the highest common divisor of 972, 752, 86, 746 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, 752, 86, 746 i.e 2.

3. How can I use the GCD of 972, 752, 86, 746Calculator?

Out the numbers 972, 752, 86, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.