GCD of 800, 130, 616, 672 Calculator

Given Input numbers are 800, 130, 616, 672

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 130 :

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

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (800, 130, 616, 672) = 2.

Given numbers are 800, 130, 616, 672

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 130 are 2 x 5 x 13

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 800, 130, 616, 672 is 2.

Given numbers are 800, 130, 616, 672

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

Apply this formula for all numbers.

Step1:

LCM(800, 130) = 10400

GCD(800, 130) = ( 800 x 130 ) / 10400

= 800 / 130

= 800

Step2:

LCM(10, 616) = 3080

GCD(10, 616) = ( 10 x 616 ) / 3080

= 10 / 616

= 10

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 800, 130, 616, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 370, 414, 960
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• GCD of 886, 941, 650, 701

Given numbers are 800, 130, 616, 672
The greatest common divisor of numbers 800, 130, 616, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 130, 616, 672 is 2.

1. What is the GCD of 800, 130, 616, 672?

GCD of given numbers 800, 130, 616, 672 is 2

2. How to calculate the greatest common divisor of 800, 130, 616, 672?

We can find the highest common divisor of 800, 130, 616, 672 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 800, 130, 616, 672 i.e 2.

3. How can I use the GCD of 800, 130, 616, 672Calculator?

Out the numbers 800, 130, 616, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.