GCD of 980, 574, 846, 870 Calculator

Given Input numbers are 980, 574, 846, 870

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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

GCD of numbers is the greatest common divisor

So, the GCD (980, 574, 846, 870) = 2.

Given numbers are 980, 574, 846, 870

The list of prime factors of all numbers are

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 574 are 2 x 7 x 41

Prime factors of 846 are 2 x 3 x 3 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 980, 574, 846, 870 is 2.

Given numbers are 980, 574, 846, 870

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

Apply this formula for all numbers.

Step1:

LCM(980, 574) = 40180

GCD(980, 574) = ( 980 x 574 ) / 40180

= 980 / 574

= 980

Step2:

LCM(14, 846) = 5922

GCD(14, 846) = ( 14 x 846 ) / 5922

= 14 / 846

= 14

Step3:

LCM(2, 870) = 870

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

= 2 / 870

= 2

So, Greatest Common Divisor of 980, 574, 846, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 129, 110, 595
• GCD of 241, 363, 699, 714
• GCD of 703, 356, 828, 352
• GCD of 160, 393, 687, 477
• GCD of 660, 301, 749, 682

Given numbers are 980, 574, 846, 870
The greatest common divisor of numbers 980, 574, 846, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 574, 846, 870 is 2.

1. What is the GCD of 980, 574, 846, 870?

GCD of given numbers 980, 574, 846, 870 is 2

2. How to calculate the greatest common divisor of 980, 574, 846, 870?

We can find the highest common divisor of 980, 574, 846, 870 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 980, 574, 846, 870 i.e 2.

3. How can I use the GCD of 980, 574, 846, 870Calculator?

Out the numbers 980, 574, 846, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.