GCD of 116, 268, 664, 252 Calculator

Given Input numbers are 116, 268, 664, 252

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (116, 268, 664, 252) = 4.

Given numbers are 116, 268, 664, 252

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 268 are 2 x 2 x 67

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2²

Therefore, GCD of 116, 268, 664, 252 is 4.

Given numbers are 116, 268, 664, 252

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

Apply this formula for all numbers.

Step1:

LCM(116, 268) = 7772

GCD(116, 268) = ( 116 x 268 ) / 7772

= 116 / 268

= 116

Step2:

LCM(4, 664) = 664

GCD(4, 664) = ( 4 x 664 ) / 664

= 4 / 664

= 4

Step3:

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

= 4 / 252

= 4

So, Greatest Common Divisor of 116, 268, 664, 252 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 733, 387, 988
• GCD of 323, 394, 773, 657
• GCD of 196, 844, 999, 213
• GCD of 384, 957, 487, 122
• GCD of 274, 738, 931, 428

Given numbers are 116, 268, 664, 252
The greatest common divisor of numbers 116, 268, 664, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 268, 664, 252 is 4.

1. What is the GCD of 116, 268, 664, 252?

GCD of given numbers 116, 268, 664, 252 is 4

2. How to calculate the greatest common divisor of 116, 268, 664, 252?

We can find the highest common divisor of 116, 268, 664, 252 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 116, 268, 664, 252 i.e 4.

3. How can I use the GCD of 116, 268, 664, 252Calculator?

Out the numbers 116, 268, 664, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.