Greatest Common Factor of 8202/22, 6954/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8202/22, 6954/480

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 8202/22,6954/480

Given fractions are 8202/22,6954/480

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 8202,6954

Greatest Common Factor of Numerators i.e. GCF of 8202,6954 is 6 .

LCM of Denominators means LCM of 22,480 as per the given fractions.

LCM of 22,480 is 5280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8202,6954

GCF of Fractions 8202/22,6954/480 is 6/5280

2 8202, 6954
3 4101, 3477
1367, 1159

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8202,6954 By Matching Biggest Common Factor Method

Greatest Common Factor of 8202,6954 By Matching Biggest Common Factor Method

Factors of 8202

List of positive integer factors of 8202 that divides 8202 without a remainder.

1,2,3,6,1367,2734,4101,8202

Factors of 6954

List of positive integer factors of 6954 that divides 6954 without a remainder.

1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954

Greatest Common Factor

We found the factors 8202,6954 . The biggest common factor number is the GCF number.
So the greatest common factor 8202,6954 is 6.

Lets's calculate LCM of 22,480

2 22, 480
11, 240

∴ So the LCM of the given numbers is 2 x 11 x 240 = 5280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5280

Therefore, the GCF of Fractions 8202/22,6954/480 is 6/5280

Least Common Multiple of 22,480 with GCF Formula

Least Common Multiple of 22,480 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 22,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,480) = 2

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

GCF(22,480) x common factors =2 x 1 = 2

LCM(22,480) = ( 22 × 480 ) / 2

LCM(22,480) = 10560 / 2

LCM(22,480) = 5280


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 8202/22, 6954/480

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 8202/22, 6954/480?

Answer: GCF of Numerators as per given numbers 8202/22, 6954/480 is

GCF of Numerators i.e. for 8202,6954 is 6

LCM of denominators i.e. for 22,480 is 5280.

Thus, GCF of Fractions is 6/5280.Finally, GCF of Fractions for 8202/22, 6954/480 is 6/5280.