GCD of 116, 138, 919, 735 Calculator

Given Input numbers are 116, 138, 919, 735

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919

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 (116, 138, 919, 735) = 1.

Given numbers are 116, 138, 919, 735

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 138 are 2 x 3 x 23

Prime factors of 919 are 919

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 116, 138, 919, 735

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

Apply this formula for all numbers.

Step1:

LCM(116, 138) = 8004

GCD(116, 138) = ( 116 x 138 ) / 8004

= 116 / 138

= 116

Step2:

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

= 2 / 919

= 2

Step3:

LCM(1, 735) = 735

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

= 1 / 735

= 1

So, Greatest Common Divisor of 116, 138, 919, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 556, 938, 874
• GCD of 256, 935, 634, 835
• GCD of 837, 611, 504, 765
• GCD of 853, 811, 163, 630
• GCD of 680, 174, 786, 597

Given numbers are 116, 138, 919, 735
The greatest common divisor of numbers 116, 138, 919, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 138, 919, 735 is 1.

1. What is the GCD of 116, 138, 919, 735?

GCD of given numbers 116, 138, 919, 735 is 1

2. How to calculate the greatest common divisor of 116, 138, 919, 735?

We can find the highest common divisor of 116, 138, 919, 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 116, 138, 919, 735 i.e 1.

3. How can I use the GCD of 116, 138, 919, 735Calculator?

Out the numbers 116, 138, 919, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.