GCD of 350, 312, 208, 117 Calculator

Given Input numbers are 350, 312, 208, 117

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 117 :

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

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (350, 312, 208, 117) = 1.

Given numbers are 350, 312, 208, 117

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 117 are 3 x 3 x 13

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

Given numbers are 350, 312, 208, 117

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

Apply this formula for all numbers.

Step1:

LCM(350, 312) = 54600

GCD(350, 312) = ( 350 x 312 ) / 54600

= 350 / 312

= 350

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

= 2 / 117

= 2

So, Greatest Common Divisor of 350, 312, 208, 117 is 1

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Given numbers are 350, 312, 208, 117
The greatest common divisor of numbers 350, 312, 208, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 312, 208, 117 is 1.

1. What is the GCD of 350, 312, 208, 117?

GCD of given numbers 350, 312, 208, 117 is 1

2. How to calculate the greatest common divisor of 350, 312, 208, 117?

We can find the highest common divisor of 350, 312, 208, 117 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 350, 312, 208, 117 i.e 1.

3. How can I use the GCD of 350, 312, 208, 117Calculator?

Out the numbers 350, 312, 208, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.