GCD of 978, 480, 267, 972 Calculator

Given Input numbers are 978, 480, 267, 972

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

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 (978, 480, 267, 972) = 3.

Given numbers are 978, 480, 267, 972

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 267 are 3 x 89

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

The highest common occurrence is 3¹

Therefore, GCD of 978, 480, 267, 972 is 3.

Given numbers are 978, 480, 267, 972

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

Apply this formula for all numbers.

Step1:

LCM(978, 480) = 78240

GCD(978, 480) = ( 978 x 480 ) / 78240

= 978 / 480

= 978

Step2:

LCM(6, 267) = 534

GCD(6, 267) = ( 6 x 267 ) / 534

= 6 / 267

= 6

Step3:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

So, Greatest Common Divisor of 978, 480, 267, 972 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 891, 238, 956
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Given numbers are 978, 480, 267, 972
The greatest common divisor of numbers 978, 480, 267, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 480, 267, 972 is 3.

1. What is the GCD of 978, 480, 267, 972?

GCD of given numbers 978, 480, 267, 972 is 3

2. How to calculate the greatest common divisor of 978, 480, 267, 972?

We can find the highest common divisor of 978, 480, 267, 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 978, 480, 267, 972 i.e 3.

3. How can I use the GCD of 978, 480, 267, 972Calculator?

Out the numbers 978, 480, 267, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.