GCD of 492, 364, 532, 980 Calculator

Given Input numbers are 492, 364, 532, 980

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (492, 364, 532, 980) = 4.

Given numbers are 492, 364, 532, 980

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 492, 364, 532, 980 is 4.

Given numbers are 492, 364, 532, 980

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

Apply this formula for all numbers.

Step1:

LCM(492, 364) = 44772

GCD(492, 364) = ( 492 x 364 ) / 44772

= 492 / 364

= 492

Step2:

LCM(4, 532) = 532

GCD(4, 532) = ( 4 x 532 ) / 532

= 4 / 532

= 4

Step3:

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

= 4 / 980

= 4

So, Greatest Common Divisor of 492, 364, 532, 980 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 642, 851, 799
• GCD of 233, 883, 506, 520
• GCD of 785, 807, 511, 783
• GCD of 316, 263, 184, 747
• GCD of 302, 474, 106, 413

Given numbers are 492, 364, 532, 980
The greatest common divisor of numbers 492, 364, 532, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 364, 532, 980 is 4.

1. What is the GCD of 492, 364, 532, 980?

GCD of given numbers 492, 364, 532, 980 is 4

2. How to calculate the greatest common divisor of 492, 364, 532, 980?

We can find the highest common divisor of 492, 364, 532, 980 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 492, 364, 532, 980 i.e 4.

3. How can I use the GCD of 492, 364, 532, 980Calculator?

Out the numbers 492, 364, 532, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.