GCD of 998, 870, 580, 678 Calculator

Given Input numbers are 998, 870, 580, 678

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (998, 870, 580, 678) = 2.

Given numbers are 998, 870, 580, 678

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

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

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 998, 870, 580, 678 is 2.

Given numbers are 998, 870, 580, 678

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

Apply this formula for all numbers.

Step1:

LCM(998, 870) = 434130

GCD(998, 870) = ( 998 x 870 ) / 434130

= 998 / 870

= 998

Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 998, 870, 580, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 398, 106, 508
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• GCD of 766, 842, 256, 197
• GCD of 992, 403, 959, 532
• GCD of 901, 357, 106, 584

Given numbers are 998, 870, 580, 678
The greatest common divisor of numbers 998, 870, 580, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 870, 580, 678 is 2.

1. What is the GCD of 998, 870, 580, 678?

GCD of given numbers 998, 870, 580, 678 is 2

2. How to calculate the greatest common divisor of 998, 870, 580, 678?

We can find the highest common divisor of 998, 870, 580, 678 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 998, 870, 580, 678 i.e 2.

3. How can I use the GCD of 998, 870, 580, 678Calculator?

Out the numbers 998, 870, 580, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.