GCD of 116, 916, 874, 942 Calculator

Given Input numbers are 116, 916, 874, 942

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (116, 916, 874, 942) = 2.

Given numbers are 116, 916, 874, 942

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 916 are 2 x 2 x 229

Prime factors of 874 are 2 x 19 x 23

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 116, 916, 874, 942 is 2.

Given numbers are 116, 916, 874, 942

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

Apply this formula for all numbers.

Step1:

LCM(116, 916) = 26564

GCD(116, 916) = ( 116 x 916 ) / 26564

= 116 / 916

= 116

Step2:

LCM(4, 874) = 1748

GCD(4, 874) = ( 4 x 874 ) / 1748

= 4 / 874

= 4

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 116, 916, 874, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 609, 778, 751, 858
• GCD of 793, 178, 103, 190
• GCD of 170, 990, 183, 714
• GCD of 219, 507, 267, 862
• GCD of 279, 742, 527, 992

Given numbers are 116, 916, 874, 942
The greatest common divisor of numbers 116, 916, 874, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 916, 874, 942 is 2.

1. What is the GCD of 116, 916, 874, 942?

GCD of given numbers 116, 916, 874, 942 is 2

2. How to calculate the greatest common divisor of 116, 916, 874, 942?

We can find the highest common divisor of 116, 916, 874, 942 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, 916, 874, 942 i.e 2.

3. How can I use the GCD of 116, 916, 874, 942Calculator?

Out the numbers 116, 916, 874, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.