Greatest Common Factor of 1228/334, 7614/6040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1228/334, 7614/6040

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 1228/334,7614/6040

Given fractions are 1228/334,7614/6040

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 1228,7614

Greatest Common Factor of Numerators i.e. GCF of 1228,7614 is 2 .

LCM of Denominators means LCM of 334,6040 as per the given fractions.

LCM of 334,6040 is 1008680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1228,7614

GCF of Fractions 1228/334,7614/6040 is 2/1008680

2 1228, 7614
614, 3807

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

Greatest Common Factor of 1228,7614 By Matching Biggest Common Factor Method

Greatest Common Factor of 1228,7614 By Matching Biggest Common Factor Method

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1,2,4,307,614,1228

Factors of 7614

List of positive integer factors of 7614 that divides 7614 without a remainder.

1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614

Greatest Common Factor

We found the factors 1228,7614 . The biggest common factor number is the GCF number.
So the greatest common factor 1228,7614 is 2.

Lets's calculate LCM of 334,6040

2 334, 6040
167, 3020

∴ So the LCM of the given numbers is 2 x 167 x 3020 = 1008680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1008680

Therefore, the GCF of Fractions 1228/334,7614/6040 is 2/1008680

Least Common Multiple of 334,6040 with GCF Formula

Least Common Multiple of 334,6040 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 334,6040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,6040) = 2

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

GCF(334,6040) x common factors =2 x 1 = 2

LCM(334,6040) = ( 334 × 6040 ) / 2

LCM(334,6040) = 2017360 / 2

LCM(334,6040) = 1008680


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1228/334, 7614/6040

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 1228/334, 7614/6040?

Answer: GCF of Numerators as per given numbers 1228/334, 7614/6040 is

GCF of Numerators i.e. for 1228,7614 is 2

LCM of denominators i.e. for 334,6040 is 1008680.

Thus, GCF of Fractions is 2/1008680.Finally, GCF of Fractions for 1228/334, 7614/6040 is 2/1008680.