GCD of 870, 520, 890, 978 Calculator

Given Input numbers are 870, 520, 890, 978

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 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (870, 520, 890, 978) = 2.

Given numbers are 870, 520, 890, 978

The list of prime factors of all numbers are

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

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 890 are 2 x 5 x 89

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹

Therefore, GCD of 870, 520, 890, 978 is 2.

Given numbers are 870, 520, 890, 978

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

Apply this formula for all numbers.

Step1:

LCM(870, 520) = 45240

GCD(870, 520) = ( 870 x 520 ) / 45240

= 870 / 520

= 870

Step2:

LCM(10, 890) = 890

GCD(10, 890) = ( 10 x 890 ) / 890

= 10 / 890

= 10

Step3:

LCM(10, 978) = 4890

GCD(10, 978) = ( 10 x 978 ) / 4890

= 10 / 978

= 10

So, Greatest Common Divisor of 870, 520, 890, 978 is 2

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Given numbers are 870, 520, 890, 978
The greatest common divisor of numbers 870, 520, 890, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 520, 890, 978 is 2.

1. What is the GCD of 870, 520, 890, 978?

GCD of given numbers 870, 520, 890, 978 is 2

2. How to calculate the greatest common divisor of 870, 520, 890, 978?

We can find the highest common divisor of 870, 520, 890, 978 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, 520, 890, 978 i.e 2.

3. How can I use the GCD of 870, 520, 890, 978Calculator?

Out the numbers 870, 520, 890, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.