GCD of 978, 968, 760, 624 Calculator

Given Input numbers are 978, 968, 760, 624

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 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (978, 968, 760, 624) = 2.

Given numbers are 978, 968, 760, 624

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 978, 968, 760, 624 is 2.

Given numbers are 978, 968, 760, 624

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

Apply this formula for all numbers.

Step1:

LCM(978, 968) = 473352

GCD(978, 968) = ( 978 x 968 ) / 473352

= 978 / 968

= 978

Step2:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 978, 968, 760, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 102, 881, 591
• GCD of 894, 852, 119, 437
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• GCD of 834, 109, 684, 334

Given numbers are 978, 968, 760, 624
The greatest common divisor of numbers 978, 968, 760, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 968, 760, 624 is 2.

1. What is the GCD of 978, 968, 760, 624?

GCD of given numbers 978, 968, 760, 624 is 2

2. How to calculate the greatest common divisor of 978, 968, 760, 624?

We can find the highest common divisor of 978, 968, 760, 624 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, 968, 760, 624 i.e 2.

3. How can I use the GCD of 978, 968, 760, 624Calculator?

Out the numbers 978, 968, 760, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.