GCD of 100, 518, 616, 138 Calculator

Given Input numbers are 100, 518, 616, 138

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (100, 518, 616, 138) = 2.

Given numbers are 100, 518, 616, 138

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 518 are 2 x 7 x 37

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 100, 518, 616, 138 is 2.

Given numbers are 100, 518, 616, 138

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

Apply this formula for all numbers.

Step1:

LCM(100, 518) = 25900

GCD(100, 518) = ( 100 x 518 ) / 25900

= 100 / 518

= 100

Step2:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 100, 518, 616, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 464, 576, 857
• GCD of 845, 722, 727, 762
• GCD of 883, 258, 100, 239
• GCD of 157, 506, 603, 409
• GCD of 402, 298, 414, 609

Given numbers are 100, 518, 616, 138
The greatest common divisor of numbers 100, 518, 616, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 518, 616, 138 is 2.

1. What is the GCD of 100, 518, 616, 138?

GCD of given numbers 100, 518, 616, 138 is 2

2. How to calculate the greatest common divisor of 100, 518, 616, 138?

We can find the highest common divisor of 100, 518, 616, 138 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 100, 518, 616, 138 i.e 2.

3. How can I use the GCD of 100, 518, 616, 138Calculator?

Out the numbers 100, 518, 616, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.