GCD of 358, 126, 114, 676 Calculator

Given Input numbers are 358, 126, 114, 676

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (358, 126, 114, 676) = 2.

Given numbers are 358, 126, 114, 676

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 114 are 2 x 3 x 19

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 358, 126, 114, 676 is 2.

Given numbers are 358, 126, 114, 676

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

Apply this formula for all numbers.

Step1:

LCM(358, 126) = 22554

GCD(358, 126) = ( 358 x 126 ) / 22554

= 358 / 126

= 358

Step2:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 358, 126, 114, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 984, 620, 951
• GCD of 104, 439, 474, 325
• GCD of 400, 572, 118, 983
• GCD of 824, 842, 334, 782
• GCD of 177, 977, 992, 624

Given numbers are 358, 126, 114, 676
The greatest common divisor of numbers 358, 126, 114, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 126, 114, 676 is 2.

1. What is the GCD of 358, 126, 114, 676?

GCD of given numbers 358, 126, 114, 676 is 2

2. How to calculate the greatest common divisor of 358, 126, 114, 676?

We can find the highest common divisor of 358, 126, 114, 676 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 358, 126, 114, 676 i.e 2.

3. How can I use the GCD of 358, 126, 114, 676Calculator?

Out the numbers 358, 126, 114, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.