GCD of 972, 768, 142, 726 Calculator

Given Input numbers are 972, 768, 142, 726

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

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

GCD of numbers is the greatest common divisor

So, the GCD (972, 768, 142, 726) = 2.

Given numbers are 972, 768, 142, 726

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 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 142 are 2 x 71

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

The highest common occurrence is 2¹

Therefore, GCD of 972, 768, 142, 726 is 2.

Given numbers are 972, 768, 142, 726

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

Apply this formula for all numbers.

Step1:

LCM(972, 768) = 62208

GCD(972, 768) = ( 972 x 768 ) / 62208

= 972 / 768

= 972

Step2:

LCM(12, 142) = 852

GCD(12, 142) = ( 12 x 142 ) / 852

= 12 / 142

= 12

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 972, 768, 142, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 549, 569, 366
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• GCD of 445, 932, 689, 511
• GCD of 360, 257, 250, 813
• GCD of 818, 278, 369, 402

Given numbers are 972, 768, 142, 726
The greatest common divisor of numbers 972, 768, 142, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 768, 142, 726 is 2.

1. What is the GCD of 972, 768, 142, 726?

GCD of given numbers 972, 768, 142, 726 is 2

2. How to calculate the greatest common divisor of 972, 768, 142, 726?

We can find the highest common divisor of 972, 768, 142, 726 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, 768, 142, 726 i.e 2.

3. How can I use the GCD of 972, 768, 142, 726Calculator?

Out the numbers 972, 768, 142, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.