GCD of 118, 116, 542, 654 Calculator

Given Input numbers are 118, 116, 542, 654

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (118, 116, 542, 654) = 2.

Given numbers are 118, 116, 542, 654

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 116 are 2 x 2 x 29

Prime factors of 542 are 2 x 271

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 118, 116, 542, 654 is 2.

Given numbers are 118, 116, 542, 654

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

Apply this formula for all numbers.

Step1:

LCM(118, 116) = 6844

GCD(118, 116) = ( 118 x 116 ) / 6844

= 118 / 116

= 118

Step2:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

Step3:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

So, Greatest Common Divisor of 118, 116, 542, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 760, 364, 541
• GCD of 721, 664, 161, 167
• GCD of 725, 893, 481, 514
• GCD of 743, 620, 133, 588
• GCD of 446, 403, 425, 678

Given numbers are 118, 116, 542, 654
The greatest common divisor of numbers 118, 116, 542, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 116, 542, 654 is 2.

1. What is the GCD of 118, 116, 542, 654?

GCD of given numbers 118, 116, 542, 654 is 2

2. How to calculate the greatest common divisor of 118, 116, 542, 654?

We can find the highest common divisor of 118, 116, 542, 654 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 118, 116, 542, 654 i.e 2.

3. How can I use the GCD of 118, 116, 542, 654Calculator?

Out the numbers 118, 116, 542, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.