Greatest Common Factor of 77/333, 410/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/333, 410/261

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 77/333,410/261

Given fractions are 77/333,410/261

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 77,410

Greatest Common Factor of Numerators i.e. GCF of 77,410 is 1 .

LCM of Denominators means LCM of 333,261 as per the given fractions.

LCM of 333,261 is 9657 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,410

GCF of Fractions 77/333,410/261 is 1/9657

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 77,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,410 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 77,410 . The biggest common factor number is the GCF number.
So the greatest common factor 77,410 is 1.

Lets's calculate LCM of 333,261

3 333, 261
3 111, 87
37, 29

∴ So the LCM of the given numbers is 3 x 3 x 37 x 29 = 9657

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9657

Therefore, the GCF of Fractions 77/333,410/261 is 1/9657

Least Common Multiple of 333,261 with GCF Formula

Least Common Multiple of 333,261 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 333,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,261) = 9

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

GCF(333,261) x common factors =9 x 1 = 9

LCM(333,261) = ( 333 × 261 ) / 9

LCM(333,261) = 86913 / 9

LCM(333,261) = 9657


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 77/333, 410/261

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 77/333, 410/261?

Answer: GCF of Numerators as per given numbers 77/333, 410/261 is

GCF of Numerators i.e. for 77,410 is 1

LCM of denominators i.e. for 333,261 is 9657.

Thus, GCF of Fractions is 1/9657.Finally, GCF of Fractions for 77/333, 410/261 is 1/9657.