GCD of 616, 688, 400 Calculator

Given Input numbers are 616, 688, 400

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

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (616, 688, 400) = 8.

Given numbers are 616, 688, 400

The list of prime factors of all numbers are

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

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2³

Therefore, GCD of 616, 688, 400 is 8.

Given numbers are 616, 688, 400

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

Apply this formula for all numbers.

Step1:

LCM(616, 688) = 52976

GCD(616, 688) = ( 616 x 688 ) / 52976

= 616 / 688

= 616

Step2:

LCM(8, 400) = 400

GCD(8, 400) = ( 8 x 400 ) / 400

= 8 / 400

= 8

So, Greatest Common Divisor of 616, 688, 400 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 737, 228
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• GCD of 432, 485, 871
• GCD of 994, 149, 800

Given numbers are 616, 688, 400
The greatest common divisor of numbers 616, 688, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 688, 400 is 8.

1. What is the GCD of 616, 688, 400?

GCD of given numbers 616, 688, 400 is 8

2. How to calculate the greatest common divisor of 616, 688, 400?

We can find the highest common divisor of 616, 688, 400 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 616, 688, 400 i.e 8.

3. How can I use the GCD of 616, 688, 400Calculator?

Out the numbers 616, 688, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.