Greatest Common Factor of 1674/267, 6777/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1674/267, 6777/416

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 1674/267,6777/416

Given fractions are 1674/267,6777/416

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 1674,6777

Greatest Common Factor of Numerators i.e. GCF of 1674,6777 is 27 .

LCM of Denominators means LCM of 267,416 as per the given fractions.

LCM of 267,416 is 111072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1674,6777

GCF of Fractions 1674/267,6777/416 is 27/111072

3 1674, 6777
3 558, 2259
3 186, 753
62, 251

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 1674,6777 By Matching Biggest Common Factor Method

Greatest Common Factor of 1674,6777 By Matching Biggest Common Factor Method

Factors of 1674

List of positive integer factors of 1674 that divides 1674 without a remainder.

1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674

Factors of 6777

List of positive integer factors of 6777 that divides 6777 without a remainder.

1,3,9,27,251,753,2259,6777

Greatest Common Factor

We found the factors 1674,6777 . The biggest common factor number is the GCF number.
So the greatest common factor 1674,6777 is 27.

Lets's calculate LCM of 267,416

Given numbers has no common factors except 1. So, there LCM is their product i.e 111072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/111072

Therefore, the GCF of Fractions 1674/267,6777/416 is 27/111072

Least Common Multiple of 267,416 with GCF Formula

Least Common Multiple of 267,416 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 267,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,416) = 1

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

GCF(267,416) x common factors =1 x 1 = 1

LCM(267,416) = ( 267 × 416 ) / 1

LCM(267,416) = 111072 / 1

LCM(267,416) = 111072


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 1674/267, 6777/416

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 1674/267, 6777/416?

Answer: GCF of Numerators as per given numbers 1674/267, 6777/416 is

GCF of Numerators i.e. for 1674,6777 is 27

LCM of denominators i.e. for 267,416 is 111072.

Thus, GCF of Fractions is 27/111072.Finally, GCF of Fractions for 1674/267, 6777/416 is 27/111072.