GCD of 978, 108, 502, 692 Calculator

Given Input numbers are 978, 108, 502, 692

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (978, 108, 502, 692) = 2.

Given numbers are 978, 108, 502, 692

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 502 are 2 x 251

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 978, 108, 502, 692 is 2.

Given numbers are 978, 108, 502, 692

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

Apply this formula for all numbers.

Step1:

LCM(978, 108) = 17604

GCD(978, 108) = ( 978 x 108 ) / 17604

= 978 / 108

= 978

Step2:

LCM(6, 502) = 1506

GCD(6, 502) = ( 6 x 502 ) / 1506

= 6 / 502

= 6

Step3:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2

So, Greatest Common Divisor of 978, 108, 502, 692 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 895, 211, 536
• GCD of 928, 824, 348, 352
• GCD of 777, 797, 533, 715
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• GCD of 384, 211, 387, 337

Given numbers are 978, 108, 502, 692
The greatest common divisor of numbers 978, 108, 502, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 108, 502, 692 is 2.

1. What is the GCD of 978, 108, 502, 692?

GCD of given numbers 978, 108, 502, 692 is 2

2. How to calculate the greatest common divisor of 978, 108, 502, 692?

We can find the highest common divisor of 978, 108, 502, 692 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, 108, 502, 692 i.e 2.

3. How can I use the GCD of 978, 108, 502, 692Calculator?

Out the numbers 978, 108, 502, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.