GCD of 902, 498, 316 Calculator

Given Input numbers are 902, 498, 316

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (902, 498, 316) = 2.

Given numbers are 902, 498, 316

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 498 are 2 x 3 x 83

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 902, 498, 316 is 2.

Given numbers are 902, 498, 316

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

Apply this formula for all numbers.

Step1:

LCM(902, 498) = 224598

GCD(902, 498) = ( 902 x 498 ) / 224598

= 902 / 498

= 902

Step2:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

So, Greatest Common Divisor of 902, 498, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 125, 489
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• GCD of 430, 251, 462
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Given numbers are 902, 498, 316
The greatest common divisor of numbers 902, 498, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 498, 316 is 2.

1. What is the GCD of 902, 498, 316?

GCD of given numbers 902, 498, 316 is 2

2. How to calculate the greatest common divisor of 902, 498, 316?

We can find the highest common divisor of 902, 498, 316 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 902, 498, 316 i.e 2.

3. How can I use the GCD of 902, 498, 316Calculator?

Out the numbers 902, 498, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.