GCD of 988, 364, 84, 172 Calculator

Given Input numbers are 988, 364, 84, 172

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

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 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 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (988, 364, 84, 172) = 4.

Given numbers are 988, 364, 84, 172

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

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

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 988, 364, 84, 172 is 4.

Given numbers are 988, 364, 84, 172

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

Apply this formula for all numbers.

Step1:

LCM(988, 364) = 6916

GCD(988, 364) = ( 988 x 364 ) / 6916

= 988 / 364

= 988

Step2:

LCM(52, 84) = 1092

GCD(52, 84) = ( 52 x 84 ) / 1092

= 52 / 84

= 52

Step3:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4

So, Greatest Common Divisor of 988, 364, 84, 172 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 218, 49, 859
• GCD of 987, 430, 22, 341
• GCD of 997, 898, 58, 545
• GCD of 367, 228, 38, 369
• GCD of 972, 443, 78, 184

Given numbers are 988, 364, 84, 172
The greatest common divisor of numbers 988, 364, 84, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 364, 84, 172 is 4.

1. What is the GCD of 988, 364, 84, 172?

GCD of given numbers 988, 364, 84, 172 is 4

2. How to calculate the greatest common divisor of 988, 364, 84, 172?

We can find the highest common divisor of 988, 364, 84, 172 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 988, 364, 84, 172 i.e 4.

3. How can I use the GCD of 988, 364, 84, 172Calculator?

Out the numbers 988, 364, 84, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.