GCD of 108, 146, 251, 735 Calculator

Given Input numbers are 108, 146, 251, 735

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (108, 146, 251, 735) = 1.

Given numbers are 108, 146, 251, 735

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 146 are 2 x 73

Prime factors of 251 are 251

Prime factors of 735 are 3 x 5 x 7 x 7

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

Given numbers are 108, 146, 251, 735

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

Apply this formula for all numbers.

Step1:

LCM(108, 146) = 7884

GCD(108, 146) = ( 108 x 146 ) / 7884

= 108 / 146

= 108

Step2:

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

= 2 / 251

= 2

Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

So, Greatest Common Divisor of 108, 146, 251, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 603, 355, 679
• GCD of 185, 135, 165, 136
• GCD of 536, 116, 711, 963
• GCD of 197, 487, 800, 475
• GCD of 833, 757, 369, 518

Given numbers are 108, 146, 251, 735
The greatest common divisor of numbers 108, 146, 251, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 146, 251, 735 is 1.

1. What is the GCD of 108, 146, 251, 735?

GCD of given numbers 108, 146, 251, 735 is 1

2. How to calculate the greatest common divisor of 108, 146, 251, 735?

We can find the highest common divisor of 108, 146, 251, 735 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 108, 146, 251, 735 i.e 1.

3. How can I use the GCD of 108, 146, 251, 735Calculator?

Out the numbers 108, 146, 251, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.