GCD of 874, 299, 989 Calculator

Given Input numbers are 874, 299, 989

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (874, 299, 989) = 23.

Given numbers are 874, 299, 989

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 299 are 13 x 23

Prime factors of 989 are 23 x 43

The highest common occurrence is 23¹

Therefore, GCD of 874, 299, 989 is 23.

Given numbers are 874, 299, 989

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

Apply this formula for all numbers.

Step1:

LCM(874, 299) = 11362

GCD(874, 299) = ( 874 x 299 ) / 11362

= 874 / 299

= 874

Step2:

LCM(23, 989) = 989

GCD(23, 989) = ( 23 x 989 ) / 989

= 23 / 989

= 23

So, Greatest Common Divisor of 874, 299, 989 is 23

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• GCD of 561, 607, 383
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Given numbers are 874, 299, 989
The greatest common divisor of numbers 874, 299, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 299, 989 is 23.

1. What is the GCD of 874, 299, 989?

GCD of given numbers 874, 299, 989 is 23

2. How to calculate the greatest common divisor of 874, 299, 989?

We can find the highest common divisor of 874, 299, 989 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 874, 299, 989 i.e 23.

3. How can I use the GCD of 874, 299, 989Calculator?

Out the numbers 874, 299, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.