GCD of 108, 156, 402, 658 Calculator

Given Input numbers are 108, 156, 402, 658

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (108, 156, 402, 658) = 2.

Given numbers are 108, 156, 402, 658

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 402 are 2 x 3 x 67

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 108, 156, 402, 658 is 2.

Given numbers are 108, 156, 402, 658

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

Apply this formula for all numbers.

Step1:

LCM(108, 156) = 1404

GCD(108, 156) = ( 108 x 156 ) / 1404

= 108 / 156

= 108

Step2:

LCM(12, 402) = 804

GCD(12, 402) = ( 12 x 402 ) / 804

= 12 / 402

= 12

Step3:

LCM(6, 658) = 1974

GCD(6, 658) = ( 6 x 658 ) / 1974

= 6 / 658

= 6

So, Greatest Common Divisor of 108, 156, 402, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 883, 895, 141
• GCD of 343, 516, 390, 688
• GCD of 365, 948, 698, 717
• GCD of 654, 172, 836, 463
• GCD of 616, 338, 196, 821

Given numbers are 108, 156, 402, 658
The greatest common divisor of numbers 108, 156, 402, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 156, 402, 658 is 2.

1. What is the GCD of 108, 156, 402, 658?

GCD of given numbers 108, 156, 402, 658 is 2

2. How to calculate the greatest common divisor of 108, 156, 402, 658?

We can find the highest common divisor of 108, 156, 402, 658 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 108, 156, 402, 658 i.e 2.

3. How can I use the GCD of 108, 156, 402, 658Calculator?

Out the numbers 108, 156, 402, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.