GCD of 138, 472, 140, 972 Calculator

Given Input numbers are 138, 472, 140, 972

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 472 :

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

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 (138, 472, 140, 972) = 2.

Given numbers are 138, 472, 140, 972

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 140 are 2 x 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 138, 472, 140, 972 is 2.

Given numbers are 138, 472, 140, 972

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

Apply this formula for all numbers.

Step1:

LCM(138, 472) = 32568

GCD(138, 472) = ( 138 x 472 ) / 32568

= 138 / 472

= 138

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 138, 472, 140, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 347, 247, 293
• GCD of 120, 793, 111, 728
• GCD of 775, 657, 880, 608
• GCD of 359, 102, 383, 472
• GCD of 720, 789, 968, 954

Given numbers are 138, 472, 140, 972
The greatest common divisor of numbers 138, 472, 140, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 472, 140, 972 is 2.

1. What is the GCD of 138, 472, 140, 972?

GCD of given numbers 138, 472, 140, 972 is 2

2. How to calculate the greatest common divisor of 138, 472, 140, 972?

We can find the highest common divisor of 138, 472, 140, 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 138, 472, 140, 972 i.e 2.

3. How can I use the GCD of 138, 472, 140, 972Calculator?

Out the numbers 138, 472, 140, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.