GCD of 296, 334, 380, 940 Calculator

Given Input numbers are 296, 334, 380, 940

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

GCD of numbers is the greatest common divisor

So, the GCD (296, 334, 380, 940) = 2.

Given numbers are 296, 334, 380, 940

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 334 are 2 x 167

Prime factors of 380 are 2 x 2 x 5 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 296, 334, 380, 940 is 2.

Given numbers are 296, 334, 380, 940

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

Apply this formula for all numbers.

Step1:

LCM(296, 334) = 49432

GCD(296, 334) = ( 296 x 334 ) / 49432

= 296 / 334

= 296

Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 296, 334, 380, 940 is 2

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Given numbers are 296, 334, 380, 940
The greatest common divisor of numbers 296, 334, 380, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 334, 380, 940 is 2.

1. What is the GCD of 296, 334, 380, 940?

GCD of given numbers 296, 334, 380, 940 is 2

2. How to calculate the greatest common divisor of 296, 334, 380, 940?

We can find the highest common divisor of 296, 334, 380, 940 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 296, 334, 380, 940 i.e 2.

3. How can I use the GCD of 296, 334, 380, 940Calculator?

Out the numbers 296, 334, 380, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.