GCD of 310, 296, 742, 130 Calculator

Given Input numbers are 310, 296, 742, 130

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 296 :

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

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (310, 296, 742, 130) = 2.

Given numbers are 310, 296, 742, 130

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 310, 296, 742, 130 is 2.

Given numbers are 310, 296, 742, 130

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

Apply this formula for all numbers.

Step1:

LCM(310, 296) = 45880

GCD(310, 296) = ( 310 x 296 ) / 45880

= 310 / 296

= 310

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 310, 296, 742, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 187, 849, 782
• GCD of 194, 351, 292, 266
• GCD of 772, 389, 277, 227
• GCD of 689, 580, 432, 911
• GCD of 364, 402, 586, 789

Given numbers are 310, 296, 742, 130
The greatest common divisor of numbers 310, 296, 742, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 296, 742, 130 is 2.

1. What is the GCD of 310, 296, 742, 130?

GCD of given numbers 310, 296, 742, 130 is 2

2. How to calculate the greatest common divisor of 310, 296, 742, 130?

We can find the highest common divisor of 310, 296, 742, 130 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 310, 296, 742, 130 i.e 2.

3. How can I use the GCD of 310, 296, 742, 130Calculator?

Out the numbers 310, 296, 742, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.