GCD of 940, 138, 120, 314 Calculator

Given Input numbers are 940, 138, 120, 314

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 138 :

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

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (940, 138, 120, 314) = 2.

Given numbers are 940, 138, 120, 314

The list of prime factors of all numbers are

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 138 are 2 x 3 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 940, 138, 120, 314 is 2.

Given numbers are 940, 138, 120, 314

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

Apply this formula for all numbers.

Step1:

LCM(940, 138) = 64860

GCD(940, 138) = ( 940 x 138 ) / 64860

= 940 / 138

= 940

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 940, 138, 120, 314 is 2

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Given numbers are 940, 138, 120, 314
The greatest common divisor of numbers 940, 138, 120, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 138, 120, 314 is 2.

1. What is the GCD of 940, 138, 120, 314?

GCD of given numbers 940, 138, 120, 314 is 2

2. How to calculate the greatest common divisor of 940, 138, 120, 314?

We can find the highest common divisor of 940, 138, 120, 314 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 940, 138, 120, 314 i.e 2.

3. How can I use the GCD of 940, 138, 120, 314Calculator?

Out the numbers 940, 138, 120, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.