Greatest Common Factor of 8828/621, 9678/6985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8828/621, 9678/6985

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 8828/621,9678/6985

Given fractions are 8828/621,9678/6985

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 8828,9678

Greatest Common Factor of Numerators i.e. GCF of 8828,9678 is 2 .

LCM of Denominators means LCM of 621,6985 as per the given fractions.

LCM of 621,6985 is 4337685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8828,9678

GCF of Fractions 8828/621,9678/6985 is 2/4337685

2 8828, 9678
4414, 4839

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

Greatest Common Factor of 8828,9678 By Matching Biggest Common Factor Method

Greatest Common Factor of 8828,9678 By Matching Biggest Common Factor Method

Factors of 8828

List of positive integer factors of 8828 that divides 8828 without a remainder.

1,2,4,2207,4414,8828

Factors of 9678

List of positive integer factors of 9678 that divides 9678 without a remainder.

1,2,3,6,1613,3226,4839,9678

Greatest Common Factor

We found the factors 8828,9678 . The biggest common factor number is the GCF number.
So the greatest common factor 8828,9678 is 2.

Lets's calculate LCM of 621,6985

Given numbers has no common factors except 1. So, there LCM is their product i.e 4337685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4337685

Therefore, the GCF of Fractions 8828/621,9678/6985 is 2/4337685

Least Common Multiple of 621,6985 with GCF Formula

Least Common Multiple of 621,6985 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 621,6985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,6985) = 1

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

GCF(621,6985) x common factors =1 x 1 = 1

LCM(621,6985) = ( 621 × 6985 ) / 1

LCM(621,6985) = 4337685 / 1

LCM(621,6985) = 4337685


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 8828/621, 9678/6985

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 8828/621, 9678/6985?

Answer: GCF of Numerators as per given numbers 8828/621, 9678/6985 is

GCF of Numerators i.e. for 8828,9678 is 2

LCM of denominators i.e. for 621,6985 is 4337685.

Thus, GCF of Fractions is 2/4337685.Finally, GCF of Fractions for 8828/621, 9678/6985 is 2/4337685.