GCD of 117, 214, 137, 518 Calculator

Given Input numbers are 117, 214, 137, 518

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 518 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (117, 214, 137, 518) = 1.

Given numbers are 117, 214, 137, 518

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 214 are 2 x 107

Prime factors of 137 are 137

Prime factors of 518 are 2 x 7 x 37

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 117, 214, 137, 518

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

Apply this formula for all numbers.

Step1:

LCM(117, 214) = 25038

GCD(117, 214) = ( 117 x 214 ) / 25038

= 117 / 214

= 117

Step2:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1

Step3:

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

= 1 / 518

= 1

So, Greatest Common Divisor of 117, 214, 137, 518 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 210, 777, 496
• GCD of 139, 354, 172, 869
• GCD of 713, 976, 492, 213
• GCD of 724, 511, 497, 342
• GCD of 673, 761, 439, 170

Given numbers are 117, 214, 137, 518
The greatest common divisor of numbers 117, 214, 137, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 214, 137, 518 is 1.

1. What is the GCD of 117, 214, 137, 518?

GCD of given numbers 117, 214, 137, 518 is 1

2. How to calculate the greatest common divisor of 117, 214, 137, 518?

We can find the highest common divisor of 117, 214, 137, 518 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 117, 214, 137, 518 i.e 1.

3. How can I use the GCD of 117, 214, 137, 518Calculator?

Out the numbers 117, 214, 137, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.