GCD of 396, 172, 988, 980 Calculator

Given Input numbers are 396, 172, 988, 980

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 (396, 172, 988, 980) = 4.

Given numbers are 396, 172, 988, 980

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 172 are 2 x 2 x 43

Prime factors of 988 are 2 x 2 x 13 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 396, 172, 988, 980 is 4.

Given numbers are 396, 172, 988, 980

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

Apply this formula for all numbers.

Step1:

LCM(396, 172) = 17028

GCD(396, 172) = ( 396 x 172 ) / 17028

= 396 / 172

= 396

Step2:

LCM(4, 988) = 988

GCD(4, 988) = ( 4 x 988 ) / 988

= 4 / 988

= 4

Step3:

LCM(4, 980) = 980

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

= 4 / 980

= 4

So, Greatest Common Divisor of 396, 172, 988, 980 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 173, 563, 566
• GCD of 707, 420, 596, 723
• GCD of 335, 472, 710, 686
• GCD of 849, 629, 954, 350
• GCD of 153, 876, 224, 969

Given numbers are 396, 172, 988, 980
The greatest common divisor of numbers 396, 172, 988, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 172, 988, 980 is 4.

1. What is the GCD of 396, 172, 988, 980?

GCD of given numbers 396, 172, 988, 980 is 4

2. How to calculate the greatest common divisor of 396, 172, 988, 980?

We can find the highest common divisor of 396, 172, 988, 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 396, 172, 988, 980 i.e 4.

3. How can I use the GCD of 396, 172, 988, 980Calculator?

Out the numbers 396, 172, 988, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.