Greatest Common Factor of 1340/668, 7868/9533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 1340/668, 7868/9533

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 1340/668,7868/9533

Given fractions are 1340/668,7868/9533

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 1340,7868

Greatest Common Factor of Numerators i.e. GCF of 1340,7868 is 4 .

LCM of Denominators means LCM of 668,9533 as per the given fractions.

LCM of 668,9533 is 6368044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1340,7868

GCF of Fractions 1340/668,7868/9533 is 4/6368044

2 1340, 7868
2 670, 3934
335, 1967

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

Greatest Common Factor of 1340,7868 By Matching Biggest Common Factor Method

Greatest Common Factor of 1340,7868 By Matching Biggest Common Factor Method

Factors of 1340

List of positive integer factors of 1340 that divides 1340 without a remainder.

1,2,4,5,10,20,67,134,268,335,670,1340

Factors of 7868

List of positive integer factors of 7868 that divides 7868 without a remainder.

1,2,4,7,14,28,281,562,1124,1967,3934,7868

Greatest Common Factor

We found the factors 1340,7868 . The biggest common factor number is the GCF number.
So the greatest common factor 1340,7868 is 4.


Lets's calculate LCM of 668,9533

Given numbers has no common factors except 1. So, there LCM is their product i.e 6368044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6368044

Therefore, the GCF of Fractions 1340/668,7868/9533 is 4/6368044

Least Common Multiple of 668,9533 with GCF Formula

Least Common Multiple of 668,9533 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 668,9533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,9533) = 1

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

GCF(668,9533) x common factors =1 x 1 = 1

LCM(668,9533) = ( 668 × 9533 ) / 1

LCM(668,9533) = 6368044 / 1

LCM(668,9533) = 6368044


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 1340/668, 7868/9533

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 1340/668, 7868/9533?

Answer: GCF of Numerators as per given numbers 1340/668, 7868/9533 is

GCF of Numerators i.e. for 1340,7868 is 4

LCM of denominators i.e. for 668,9533 is 6368044.

Thus, GCF of Fractions is 4/6368044.Finally, GCF of Fractions for 1340/668, 7868/9533 is 4/6368044.