GCD of 552, 414, 780, 978 Calculator

Given Input numbers are 552, 414, 780, 978

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 978 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (552, 414, 780, 978) = 6.

Given numbers are 552, 414, 780, 978

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 552, 414, 780, 978 is 6.

Given numbers are 552, 414, 780, 978

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

Apply this formula for all numbers.

Step1:

LCM(552, 414) = 1656

GCD(552, 414) = ( 552 x 414 ) / 1656

= 552 / 414

= 552

Step2:

LCM(138, 780) = 17940

GCD(138, 780) = ( 138 x 780 ) / 17940

= 138 / 780

= 138

Step3:

LCM(6, 978) = 978

GCD(6, 978) = ( 6 x 978 ) / 978

= 6 / 978

= 6

So, Greatest Common Divisor of 552, 414, 780, 978 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 639, 585, 317
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Given numbers are 552, 414, 780, 978
The greatest common divisor of numbers 552, 414, 780, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 414, 780, 978 is 6.

1. What is the GCD of 552, 414, 780, 978?

GCD of given numbers 552, 414, 780, 978 is 6

2. How to calculate the greatest common divisor of 552, 414, 780, 978?

We can find the highest common divisor of 552, 414, 780, 978 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 552, 414, 780, 978 i.e 6.

3. How can I use the GCD of 552, 414, 780, 978Calculator?

Out the numbers 552, 414, 780, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.