GCD of 296, 120, 796, 464 Calculator

Given Input numbers are 296, 120, 796, 464

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 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 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (296, 120, 796, 464) = 4.

Given numbers are 296, 120, 796, 464

The list of prime factors of all numbers are

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

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

Prime factors of 796 are 2 x 2 x 199

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 296, 120, 796, 464 is 4.

Given numbers are 296, 120, 796, 464

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

Apply this formula for all numbers.

Step1:

LCM(296, 120) = 4440

GCD(296, 120) = ( 296 x 120 ) / 4440

= 296 / 120

= 296

Step2:

LCM(8, 796) = 1592

GCD(8, 796) = ( 8 x 796 ) / 1592

= 8 / 796

= 8

Step3:

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

= 4 / 464

= 4

So, Greatest Common Divisor of 296, 120, 796, 464 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 686, 349, 332
• GCD of 525, 967, 708, 441
• GCD of 131, 643, 579, 713
• GCD of 745, 182, 750, 673
• GCD of 666, 897, 820, 848

Given numbers are 296, 120, 796, 464
The greatest common divisor of numbers 296, 120, 796, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 120, 796, 464 is 4.

1. What is the GCD of 296, 120, 796, 464?

GCD of given numbers 296, 120, 796, 464 is 4

2. How to calculate the greatest common divisor of 296, 120, 796, 464?

We can find the highest common divisor of 296, 120, 796, 464 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, 120, 796, 464 i.e 4.

3. How can I use the GCD of 296, 120, 796, 464Calculator?

Out the numbers 296, 120, 796, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.