GCD of 400, 628, 888, 654 Calculator

Given Input numbers are 400, 628, 888, 654

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 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (400, 628, 888, 654) = 2.

Given numbers are 400, 628, 888, 654

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 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 400, 628, 888, 654 is 2.

Given numbers are 400, 628, 888, 654

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, 888) = 888

GCD(4, 888) = ( 4 x 888 ) / 888

= 4 / 888

= 4

Step3:

LCM(4, 654) = 1308

GCD(4, 654) = ( 4 x 654 ) / 1308

= 4 / 654

= 4

So, Greatest Common Divisor of 400, 628, 888, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 632, 997, 971
• GCD of 746, 212, 237, 965
• GCD of 371, 549, 784, 608
• GCD of 954, 612, 581, 597
• GCD of 608, 503, 733, 292

Given numbers are 400, 628, 888, 654
The greatest common divisor of numbers 400, 628, 888, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 628, 888, 654 is 2.

1. What is the GCD of 400, 628, 888, 654?

GCD of given numbers 400, 628, 888, 654 is 2

2. How to calculate the greatest common divisor of 400, 628, 888, 654?

We can find the highest common divisor of 400, 628, 888, 654 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, 888, 654 i.e 2.

3. How can I use the GCD of 400, 628, 888, 654Calculator?

Out the numbers 400, 628, 888, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.