GCD of 135, 700, 631, 106 Calculator

Given Input numbers are 135, 700, 631, 106

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

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 631 :

The positive integer divisors of 631 that completely divides 631 are.

1, 631

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 (135, 700, 631, 106) = 1.

Given numbers are 135, 700, 631, 106

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

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

Prime factors of 631 are 631

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 135, 700, 631, 106

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

Apply this formula for all numbers.

Step1:

LCM(135, 700) = 18900

GCD(135, 700) = ( 135 x 700 ) / 18900

= 135 / 700

= 135

Step2:

LCM(5, 631) = 3155

GCD(5, 631) = ( 5 x 631 ) / 3155

= 5 / 631

= 5

Step3:

LCM(1, 106) = 106

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

= 1 / 106

= 1

So, Greatest Common Divisor of 135, 700, 631, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 127, 426, 676
• GCD of 738, 459, 820, 135
• GCD of 259, 574, 595, 842
• GCD of 694, 730, 965, 675
• GCD of 327, 753, 145, 795

Given numbers are 135, 700, 631, 106
The greatest common divisor of numbers 135, 700, 631, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 700, 631, 106 is 1.

1. What is the GCD of 135, 700, 631, 106?

GCD of given numbers 135, 700, 631, 106 is 1

2. How to calculate the greatest common divisor of 135, 700, 631, 106?

We can find the highest common divisor of 135, 700, 631, 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 135, 700, 631, 106 i.e 1.

3. How can I use the GCD of 135, 700, 631, 106Calculator?

Out the numbers 135, 700, 631, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.