Greatest Common Factor of 4748/684, 5602/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4748/684, 5602/120

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 4748/684,5602/120

Given fractions are 4748/684,5602/120

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 4748,5602

Greatest Common Factor of Numerators i.e. GCF of 4748,5602 is 2 .

LCM of Denominators means LCM of 684,120 as per the given fractions.

LCM of 684,120 is 6840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4748,5602

GCF of Fractions 4748/684,5602/120 is 2/6840

2 4748, 5602
2374, 2801

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

Greatest Common Factor of 4748,5602 By Matching Biggest Common Factor Method

Greatest Common Factor of 4748,5602 By Matching Biggest Common Factor Method

Factors of 4748

List of positive integer factors of 4748 that divides 4748 without a remainder.

1,2,4,1187,2374,4748

Factors of 5602

List of positive integer factors of 5602 that divides 5602 without a remainder.

1,2,2801,5602

Greatest Common Factor

We found the factors 4748,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 4748,5602 is 2.

Lets's calculate LCM of 684,120

2 684, 120
2 342, 60
3 171, 30
57, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 57 x 10 = 6840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6840

Therefore, the GCF of Fractions 4748/684,5602/120 is 2/6840

Least Common Multiple of 684,120 with GCF Formula

Least Common Multiple of 684,120 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 684,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,120) = 12

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

GCF(684,120) x common factors =12 x 1 = 12

LCM(684,120) = ( 684 × 120 ) / 12

LCM(684,120) = 82080 / 12

LCM(684,120) = 6840


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 4748/684, 5602/120

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 4748/684, 5602/120?

Answer: GCF of Numerators as per given numbers 4748/684, 5602/120 is

GCF of Numerators i.e. for 4748,5602 is 2

LCM of denominators i.e. for 684,120 is 6840.

Thus, GCF of Fractions is 2/6840.Finally, GCF of Fractions for 4748/684, 5602/120 is 2/6840.