Greatest Common Factor of 7/84, 15/98, 48/663, 572/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/84, 15/98, 48/663, 572/796

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 7/84,15/98,48/663,572/796

Given fractions are 7/84,15/98,48/663,572/796

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 7,15,48,572

Greatest Common Factor of Numerators i.e. GCF of 7,15,48,572 is 1 .

LCM of Denominators means LCM of 84,98,663,796 as per the given fractions.

LCM of 84,98,663,796 is 25859652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,15,48,572

GCF of Fractions 7/84,15/98,48/663,572/796 is 1/25859652

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7,15,48,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,15,48,572 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 7,15,48,572 . The biggest common factor number is the GCF number.
So the greatest common factor 7,15,48,572 is 1.

Lets's calculate LCM of 84,98,663,796

2 84, 98, 663, 796
2 42, 49, 663, 398
3 21, 49, 663, 199
7 7, 49, 221, 199
1, 7, 221, 199

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 7 x 221 x 199 = 25859652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25859652

Therefore, the GCF of Fractions 7/84,15/98,48/663,572/796 is 1/25859652

Least Common Multiple of 84,98,663,796 with GCF Formula

Least Common Multiple of 84,98,663,796 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 84,98,663,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,98,663,796) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(84,98,663,796) x common factors =1 x 168 = 168

LCM(84,98,663,796) = ( 84 × 98 × 663 × 796 ) / 168

LCM(84,98,663,796) = 4344421536 / 168

LCM(84,98,663,796) = 25859652


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 7/84, 15/98, 48/663, 572/796

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 7/84, 15/98, 48/663, 572/796?

Answer: GCF of Numerators as per given numbers 7/84, 15/98, 48/663, 572/796 is

GCF of Numerators i.e. for 7,15,48,572 is 1

LCM of denominators i.e. for 84,98,663,796 is 25859652.

Thus, GCF of Fractions is 1/25859652.Finally, GCF of Fractions for 7/84, 15/98, 48/663, 572/796 is 1/25859652.