Greatest Common Factor of 277/825, 666/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 277/825, 666/823

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 277/825,666/823

Given fractions are 277/825,666/823

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 277,666

Greatest Common Factor of Numerators i.e. GCF of 277,666 is 1 .

LCM of Denominators means LCM of 825,823 as per the given fractions.

LCM of 825,823 is 678975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 277,666

GCF of Fractions 277/825,666/823 is 1/678975

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

Greatest Common Factor of 277,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,666 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 277,666 . The biggest common factor number is the GCF number.
So the greatest common factor 277,666 is 1.

Lets's calculate LCM of 825,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 678975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/678975

Therefore, the GCF of Fractions 277/825,666/823 is 1/678975

Least Common Multiple of 825,823 with GCF Formula

Least Common Multiple of 825,823 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 825,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,823) = 1

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

GCF(825,823) x common factors =1 x 1 = 1

LCM(825,823) = ( 825 × 823 ) / 1

LCM(825,823) = 678975 / 1

LCM(825,823) = 678975


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 277/825, 666/823

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 277/825, 666/823?

Answer: GCF of Numerators as per given numbers 277/825, 666/823 is

GCF of Numerators i.e. for 277,666 is 1

LCM of denominators i.e. for 825,823 is 678975.

Thus, GCF of Fractions is 1/678975.Finally, GCF of Fractions for 277/825, 666/823 is 1/678975.