Greatest Common Factor of 6740/60, 7084/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6740/60, 7084/434

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 6740/60,7084/434

Given fractions are 6740/60,7084/434

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 6740,7084

Greatest Common Factor of Numerators i.e. GCF of 6740,7084 is 4 .

LCM of Denominators means LCM of 60,434 as per the given fractions.

LCM of 60,434 is 13020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6740,7084

GCF of Fractions 6740/60,7084/434 is 4/13020

2 6740, 7084
2 3370, 3542
1685, 1771

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6740,7084 By Matching Biggest Common Factor Method

Greatest Common Factor of 6740,7084 By Matching Biggest Common Factor Method

Factors of 6740

List of positive integer factors of 6740 that divides 6740 without a remainder.

1,2,4,5,10,20,337,674,1348,1685,3370,6740

Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084

Greatest Common Factor

We found the factors 6740,7084 . The biggest common factor number is the GCF number.
So the greatest common factor 6740,7084 is 4.

Lets's calculate LCM of 60,434

2 60, 434
30, 217

∴ So the LCM of the given numbers is 2 x 30 x 217 = 13020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13020

Therefore, the GCF of Fractions 6740/60,7084/434 is 4/13020

Least Common Multiple of 60,434 with GCF Formula

Least Common Multiple of 60,434 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 60,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,434) = 2

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

GCF(60,434) x common factors =2 x 1 = 2

LCM(60,434) = ( 60 × 434 ) / 2

LCM(60,434) = 26040 / 2

LCM(60,434) = 13020


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 6740/60, 7084/434

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 6740/60, 7084/434?

Answer: GCF of Numerators as per given numbers 6740/60, 7084/434 is

GCF of Numerators i.e. for 6740,7084 is 4

LCM of denominators i.e. for 60,434 is 13020.

Thus, GCF of Fractions is 4/13020.Finally, GCF of Fractions for 6740/60, 7084/434 is 4/13020.