GCD of 118, 138, 470, 986 Calculator

Given Input numbers are 118, 138, 470, 986

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (118, 138, 470, 986) = 2.

Given numbers are 118, 138, 470, 986

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 138 are 2 x 3 x 23

Prime factors of 470 are 2 x 5 x 47

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 118, 138, 470, 986 is 2.

Given numbers are 118, 138, 470, 986

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

Apply this formula for all numbers.

Step1:

LCM(118, 138) = 8142

GCD(118, 138) = ( 118 x 138 ) / 8142

= 118 / 138

= 118

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

So, Greatest Common Divisor of 118, 138, 470, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 346, 561, 130
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• GCD of 848, 202, 285, 676
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• GCD of 782, 708, 894, 151

Given numbers are 118, 138, 470, 986
The greatest common divisor of numbers 118, 138, 470, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 138, 470, 986 is 2.

1. What is the GCD of 118, 138, 470, 986?

GCD of given numbers 118, 138, 470, 986 is 2

2. How to calculate the greatest common divisor of 118, 138, 470, 986?

We can find the highest common divisor of 118, 138, 470, 986 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, 138, 470, 986 i.e 2.

3. How can I use the GCD of 118, 138, 470, 986Calculator?

Out the numbers 118, 138, 470, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.