GCD of 456, 978, 861, 432 Calculator

Given Input numbers are 456, 978, 861, 432

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 978 :

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

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (456, 978, 861, 432) = 3.

Given numbers are 456, 978, 861, 432

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 978 are 2 x 3 x 163

Prime factors of 861 are 3 x 7 x 41

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 456, 978, 861, 432 is 3.

Given numbers are 456, 978, 861, 432

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

Apply this formula for all numbers.

Step1:

LCM(456, 978) = 74328

GCD(456, 978) = ( 456 x 978 ) / 74328

= 456 / 978

= 456

Step2:

LCM(6, 861) = 1722

GCD(6, 861) = ( 6 x 861 ) / 1722

= 6 / 861

= 6

Step3:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3

So, Greatest Common Divisor of 456, 978, 861, 432 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 739, 399, 168
• GCD of 661, 339, 259, 944
• GCD of 826, 986, 607, 114
• GCD of 596, 941, 981, 503
• GCD of 885, 325, 986, 201

Given numbers are 456, 978, 861, 432
The greatest common divisor of numbers 456, 978, 861, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 978, 861, 432 is 3.

1. What is the GCD of 456, 978, 861, 432?

GCD of given numbers 456, 978, 861, 432 is 3

2. How to calculate the greatest common divisor of 456, 978, 861, 432?

We can find the highest common divisor of 456, 978, 861, 432 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 456, 978, 861, 432 i.e 3.

3. How can I use the GCD of 456, 978, 861, 432Calculator?

Out the numbers 456, 978, 861, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.