Greatest Common Factor of 828/666, 385/801, 657/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/666, 385/801, 657/503

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 828/666,385/801,657/503

Given fractions are 828/666,385/801,657/503

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 828,385,657

Greatest Common Factor of Numerators i.e. GCF of 828,385,657 is 1 .

LCM of Denominators means LCM of 666,801,503 as per the given fractions.

LCM of 666,801,503 is 29814822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,385,657

GCF of Fractions 828/666,385/801,657/503 is 1/29814822

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

Greatest Common Factor of 828,385,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,385,657 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 828,385,657 . The biggest common factor number is the GCF number.
So the greatest common factor 828,385,657 is 1.

Lets's calculate LCM of 666,801,503

3 666, 801, 503
3 222, 267, 503
74, 89, 503

∴ So the LCM of the given numbers is 3 x 3 x 74 x 89 x 503 = 29814822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29814822

Therefore, the GCF of Fractions 828/666,385/801,657/503 is 1/29814822

Least Common Multiple of 666,801,503 with GCF Formula

Least Common Multiple of 666,801,503 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 666,801,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,801,503) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(666,801,503) x common factors =1 x 9 = 9

LCM(666,801,503) = ( 666 × 801 × 503 ) / 9

LCM(666,801,503) = 268333398 / 9

LCM(666,801,503) = 29814822


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 828/666, 385/801, 657/503

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 828/666, 385/801, 657/503?

Answer: GCF of Numerators as per given numbers 828/666, 385/801, 657/503 is

GCF of Numerators i.e. for 828,385,657 is 1

LCM of denominators i.e. for 666,801,503 is 29814822.

Thus, GCF of Fractions is 1/29814822.Finally, GCF of Fractions for 828/666, 385/801, 657/503 is 1/29814822.