GCD of 988, 622, 870, 200 Calculator

Given Input numbers are 988, 622, 870, 200

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 (988, 622, 870, 200) = 2.

Given numbers are 988, 622, 870, 200

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 622 are 2 x 311

Prime factors of 870 are 2 x 3 x 5 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 988, 622, 870, 200 is 2.

Given numbers are 988, 622, 870, 200

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

Apply this formula for all numbers.

Step1:

LCM(988, 622) = 307268

GCD(988, 622) = ( 988 x 622 ) / 307268

= 988 / 622

= 988

Step2:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

So, Greatest Common Divisor of 988, 622, 870, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 889, 743, 214
• GCD of 543, 910, 882, 220
• GCD of 642, 687, 815, 988
• GCD of 227, 899, 291, 746
• GCD of 112, 209, 134, 698

Given numbers are 988, 622, 870, 200
The greatest common divisor of numbers 988, 622, 870, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 622, 870, 200 is 2.

1. What is the GCD of 988, 622, 870, 200?

GCD of given numbers 988, 622, 870, 200 is 2

2. How to calculate the greatest common divisor of 988, 622, 870, 200?

We can find the highest common divisor of 988, 622, 870, 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 988, 622, 870, 200 i.e 2.

3. How can I use the GCD of 988, 622, 870, 200Calculator?

Out the numbers 988, 622, 870, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.