GCD of 928, 870, 978, 109 Calculator

Given Input numbers are 928, 870, 978, 109

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

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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 978 :

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

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (928, 870, 978, 109) = 1.

Given numbers are 928, 870, 978, 109

The list of prime factors of all numbers are

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 109 are 109

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

Given numbers are 928, 870, 978, 109

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

Apply this formula for all numbers.

Step1:

LCM(928, 870) = 13920

GCD(928, 870) = ( 928 x 870 ) / 13920

= 928 / 870

= 928

Step2:

LCM(58, 978) = 28362

GCD(58, 978) = ( 58 x 978 ) / 28362

= 58 / 978

= 58

Step3:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

So, Greatest Common Divisor of 928, 870, 978, 109 is 1

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• GCD of 301, 600, 475, 389
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Given numbers are 928, 870, 978, 109
The greatest common divisor of numbers 928, 870, 978, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 870, 978, 109 is 1.

1. What is the GCD of 928, 870, 978, 109?

GCD of given numbers 928, 870, 978, 109 is 1

2. How to calculate the greatest common divisor of 928, 870, 978, 109?

We can find the highest common divisor of 928, 870, 978, 109 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 928, 870, 978, 109 i.e 1.

3. How can I use the GCD of 928, 870, 978, 109Calculator?

Out the numbers 928, 870, 978, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.