GCD of 117, 112, 700, 106 Calculator

Given Input numbers are 117, 112, 700, 106

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (117, 112, 700, 106) = 1.

Given numbers are 117, 112, 700, 106

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 106 are 2 x 53

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

Given numbers are 117, 112, 700, 106

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

Apply this formula for all numbers.

Step1:

LCM(117, 112) = 13104

GCD(117, 112) = ( 117 x 112 ) / 13104

= 117 / 112

= 117

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

= 1 / 106

= 1

So, Greatest Common Divisor of 117, 112, 700, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 529, 316, 577
• GCD of 115, 772, 732, 576
• GCD of 443, 646, 456, 626
• GCD of 365, 518, 569, 965
• GCD of 369, 656, 600, 738

Given numbers are 117, 112, 700, 106
The greatest common divisor of numbers 117, 112, 700, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 112, 700, 106 is 1.

1. What is the GCD of 117, 112, 700, 106?

GCD of given numbers 117, 112, 700, 106 is 1

2. How to calculate the greatest common divisor of 117, 112, 700, 106?

We can find the highest common divisor of 117, 112, 700, 106 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, 112, 700, 106 i.e 1.

3. How can I use the GCD of 117, 112, 700, 106Calculator?

Out the numbers 117, 112, 700, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.