GCD of 870, 988, 917, 420 Calculator

Given Input numbers are 870, 988, 917, 420

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

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 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 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (870, 988, 917, 420) = 1.

Given numbers are 870, 988, 917, 420

The list of prime factors of all numbers are

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

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

Prime factors of 917 are 7 x 131

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 870, 988, 917, 420

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

Apply this formula for all numbers.

Step1:

LCM(870, 988) = 429780

GCD(870, 988) = ( 870 x 988 ) / 429780

= 870 / 988

= 870

Step2:

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

= 2 / 917

= 2

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 870, 988, 917, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 578, 113, 548
• GCD of 107, 184, 485, 775
• GCD of 324, 777, 179, 219
• GCD of 937, 594, 703, 972
• GCD of 524, 562, 166, 552

Given numbers are 870, 988, 917, 420
The greatest common divisor of numbers 870, 988, 917, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 988, 917, 420 is 1.

1. What is the GCD of 870, 988, 917, 420?

GCD of given numbers 870, 988, 917, 420 is 1

2. How to calculate the greatest common divisor of 870, 988, 917, 420?

We can find the highest common divisor of 870, 988, 917, 420 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 870, 988, 917, 420 i.e 1.

3. How can I use the GCD of 870, 988, 917, 420Calculator?

Out the numbers 870, 988, 917, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.