GCD of 400, 628, 356, 688 Calculator

Given Input numbers are 400, 628, 356, 688

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

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 688 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 628, 356, 688) = 4.

Given numbers are 400, 628, 356, 688

The list of prime factors of all numbers are

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 356 are 2 x 2 x 89

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

The highest common occurrence is 2²

Therefore, GCD of 400, 628, 356, 688 is 4.

Given numbers are 400, 628, 356, 688

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

Apply this formula for all numbers.

Step1:

LCM(400, 628) = 62800

GCD(400, 628) = ( 400 x 628 ) / 62800

= 400 / 628

= 400

Step2:

LCM(4, 356) = 356

GCD(4, 356) = ( 4 x 356 ) / 356

= 4 / 356

= 4

Step3:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4

So, Greatest Common Divisor of 400, 628, 356, 688 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 308, 465, 845
• GCD of 709, 294, 472, 719
• GCD of 786, 999, 266, 424
• GCD of 866, 512, 857, 766
• GCD of 274, 830, 775, 957

Given numbers are 400, 628, 356, 688
The greatest common divisor of numbers 400, 628, 356, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 628, 356, 688 is 4.

1. What is the GCD of 400, 628, 356, 688?

GCD of given numbers 400, 628, 356, 688 is 4

2. How to calculate the greatest common divisor of 400, 628, 356, 688?

We can find the highest common divisor of 400, 628, 356, 688 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 400, 628, 356, 688 i.e 4.

3. How can I use the GCD of 400, 628, 356, 688Calculator?

Out the numbers 400, 628, 356, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.