GCD of 678, 978, 574, 132 Calculator

Given Input numbers are 678, 978, 574, 132

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 978 :

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

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

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (678, 978, 574, 132) = 2.

Given numbers are 678, 978, 574, 132

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 978 are 2 x 3 x 163

Prime factors of 574 are 2 x 7 x 41

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 678, 978, 574, 132 is 2.

Given numbers are 678, 978, 574, 132

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

Apply this formula for all numbers.

Step1:

LCM(678, 978) = 110514

GCD(678, 978) = ( 678 x 978 ) / 110514

= 678 / 978

= 678

Step2:

LCM(6, 574) = 1722

GCD(6, 574) = ( 6 x 574 ) / 1722

= 6 / 574

= 6

Step3:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

So, Greatest Common Divisor of 678, 978, 574, 132 is 2

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• GCD of 633, 876, 875, 784
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Given numbers are 678, 978, 574, 132
The greatest common divisor of numbers 678, 978, 574, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 978, 574, 132 is 2.

1. What is the GCD of 678, 978, 574, 132?

GCD of given numbers 678, 978, 574, 132 is 2

2. How to calculate the greatest common divisor of 678, 978, 574, 132?

We can find the highest common divisor of 678, 978, 574, 132 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 678, 978, 574, 132 i.e 2.

3. How can I use the GCD of 678, 978, 574, 132Calculator?

Out the numbers 678, 978, 574, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.