Greatest Common Factor of 1067/830, 7678/7244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1067/830, 7678/7244

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 1067/830,7678/7244

Given fractions are 1067/830,7678/7244

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 1067,7678

Greatest Common Factor of Numerators i.e. GCF of 1067,7678 is 11 .

LCM of Denominators means LCM of 830,7244 as per the given fractions.

LCM of 830,7244 is 3006260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1067,7678

GCF of Fractions 1067/830,7678/7244 is 11/3006260

11 1067, 7678
97, 698

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1067,7678 By Matching Biggest Common Factor Method

Greatest Common Factor of 1067,7678 By Matching Biggest Common Factor Method

Factors of 1067

List of positive integer factors of 1067 that divides 1067 without a remainder.

1,11,97,1067

Factors of 7678

List of positive integer factors of 7678 that divides 7678 without a remainder.

1,2,11,22,349,698,3839,7678

Greatest Common Factor

We found the factors 1067,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 1067,7678 is 11.

Lets's calculate LCM of 830,7244

2 830, 7244
415, 3622

∴ So the LCM of the given numbers is 2 x 415 x 3622 = 3006260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3006260

Therefore, the GCF of Fractions 1067/830,7678/7244 is 11/3006260

Least Common Multiple of 830,7244 with GCF Formula

Least Common Multiple of 830,7244 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 830,7244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,7244) = 2

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

GCF(830,7244) x common factors =2 x 1 = 2

LCM(830,7244) = ( 830 × 7244 ) / 2

LCM(830,7244) = 6012520 / 2

LCM(830,7244) = 3006260


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 1067/830, 7678/7244

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 1067/830, 7678/7244?

Answer: GCF of Numerators as per given numbers 1067/830, 7678/7244 is

GCF of Numerators i.e. for 1067,7678 is 11

LCM of denominators i.e. for 830,7244 is 3006260.

Thus, GCF of Fractions is 11/3006260.Finally, GCF of Fractions for 1067/830, 7678/7244 is 11/3006260.