GCD of 296, 676, 480, 200 Calculator

Given Input numbers are 296, 676, 480, 200

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (296, 676, 480, 200) = 4.

Given numbers are 296, 676, 480, 200

The list of prime factors of all numbers are

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

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 296, 676, 480, 200 is 4.

Given numbers are 296, 676, 480, 200

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

Apply this formula for all numbers.

Step1:

LCM(296, 676) = 50024

GCD(296, 676) = ( 296 x 676 ) / 50024

= 296 / 676

= 296

Step2:

LCM(4, 480) = 480

GCD(4, 480) = ( 4 x 480 ) / 480

= 4 / 480

= 4

Step3:

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

= 4 / 200

= 4

So, Greatest Common Divisor of 296, 676, 480, 200 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 111, 691, 293
• GCD of 693, 748, 502, 882
• GCD of 785, 804, 616, 722
• GCD of 599, 611, 334, 475
• GCD of 377, 700, 687, 710

Given numbers are 296, 676, 480, 200
The greatest common divisor of numbers 296, 676, 480, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 676, 480, 200 is 4.

1. What is the GCD of 296, 676, 480, 200?

GCD of given numbers 296, 676, 480, 200 is 4

2. How to calculate the greatest common divisor of 296, 676, 480, 200?

We can find the highest common divisor of 296, 676, 480, 200 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, 676, 480, 200 i.e 4.

3. How can I use the GCD of 296, 676, 480, 200Calculator?

Out the numbers 296, 676, 480, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.