Greatest Common Factor of 2698/820, 7472/7616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2698/820, 7472/7616

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 2698/820,7472/7616

Given fractions are 2698/820,7472/7616

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 2698,7472

Greatest Common Factor of Numerators i.e. GCF of 2698,7472 is 2 .

LCM of Denominators means LCM of 820,7616 as per the given fractions.

LCM of 820,7616 is 1561280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2698,7472

GCF of Fractions 2698/820,7472/7616 is 2/1561280

2 2698, 7472
1349, 3736

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

Greatest Common Factor of 2698,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 2698,7472 By Matching Biggest Common Factor Method

Factors of 2698

List of positive integer factors of 2698 that divides 2698 without a remainder.

1,2,19,38,71,142,1349,2698

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 2698,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 2698,7472 is 2.

Lets's calculate LCM of 820,7616

2 820, 7616
2 410, 3808
205, 1904

∴ So the LCM of the given numbers is 2 x 2 x 205 x 1904 = 1561280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1561280

Therefore, the GCF of Fractions 2698/820,7472/7616 is 2/1561280

Least Common Multiple of 820,7616 with GCF Formula

Least Common Multiple of 820,7616 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 820,7616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,7616) = 4

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

GCF(820,7616) x common factors =4 x 1 = 4

LCM(820,7616) = ( 820 × 7616 ) / 4

LCM(820,7616) = 6245120 / 4

LCM(820,7616) = 1561280


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 2698/820, 7472/7616

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 2698/820, 7472/7616?

Answer: GCF of Numerators as per given numbers 2698/820, 7472/7616 is

GCF of Numerators i.e. for 2698,7472 is 2

LCM of denominators i.e. for 820,7616 is 1561280.

Thus, GCF of Fractions is 2/1561280.Finally, GCF of Fractions for 2698/820, 7472/7616 is 2/1561280.