GCD of 978, 432, 372, 846 Calculator

Given Input numbers are 978, 432, 372, 846

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 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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

GCD of numbers is the greatest common divisor

So, the GCD (978, 432, 372, 846) = 6.

Given numbers are 978, 432, 372, 846

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

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

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 846 are 2 x 3 x 3 x 47

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 978, 432, 372, 846 is 6.

Given numbers are 978, 432, 372, 846

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

Apply this formula for all numbers.

Step1:

LCM(978, 432) = 70416

GCD(978, 432) = ( 978 x 432 ) / 70416

= 978 / 432

= 978

Step2:

LCM(6, 372) = 372

GCD(6, 372) = ( 6 x 372 ) / 372

= 6 / 372

= 6

Step3:

LCM(6, 846) = 846

GCD(6, 846) = ( 6 x 846 ) / 846

= 6 / 846

= 6

So, Greatest Common Divisor of 978, 432, 372, 846 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 699, 533, 790
• GCD of 145, 103, 218, 365
• GCD of 291, 153, 206, 308
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• GCD of 341, 152, 778, 808

Given numbers are 978, 432, 372, 846
The greatest common divisor of numbers 978, 432, 372, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 432, 372, 846 is 6.

1. What is the GCD of 978, 432, 372, 846?

GCD of given numbers 978, 432, 372, 846 is 6

2. How to calculate the greatest common divisor of 978, 432, 372, 846?

We can find the highest common divisor of 978, 432, 372, 846 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, 432, 372, 846 i.e 6.

3. How can I use the GCD of 978, 432, 372, 846Calculator?

Out the numbers 978, 432, 372, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.