Greatest Common Factor of 8990/345, 8536/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8990/345, 8536/823

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8990/345,8536/823

Given fractions are 8990/345,8536/823

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8990,8536

Greatest Common Factor of Numerators i.e. GCF of 8990,8536 is 2 .

LCM of Denominators means LCM of 345,823 as per the given fractions.

LCM of 345,823 is 283935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8990,8536

GCF of Fractions 8990/345,8536/823 is 2/283935

2 8990, 8536
4495, 4268

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8990,8536 By Matching Biggest Common Factor Method

Greatest Common Factor of 8990,8536 By Matching Biggest Common Factor Method

Factors of 8990

List of positive integer factors of 8990 that divides 8990 without a remainder.

1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990

Factors of 8536

List of positive integer factors of 8536 that divides 8536 without a remainder.

1,2,4,8,11,22,44,88,97,194,388,776,1067,2134,4268,8536

Greatest Common Factor

We found the factors 8990,8536 . The biggest common factor number is the GCF number.
So the greatest common factor 8990,8536 is 2.

Lets's calculate LCM of 345,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 283935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/283935

Therefore, the GCF of Fractions 8990/345,8536/823 is 2/283935

Least Common Multiple of 345,823 with GCF Formula

Least Common Multiple of 345,823 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 345,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,823) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(345,823) x common factors =1 x 1 = 1

LCM(345,823) = ( 345 × 823 ) / 1

LCM(345,823) = 283935 / 1

LCM(345,823) = 283935


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8990/345, 8536/823

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8990/345, 8536/823?

Answer: GCF of Numerators as per given numbers 8990/345, 8536/823 is

GCF of Numerators i.e. for 8990,8536 is 2

LCM of denominators i.e. for 345,823 is 283935.

Thus, GCF of Fractions is 2/283935.Finally, GCF of Fractions for 8990/345, 8536/823 is 2/283935.