Greatest Common Factor of 677/255, 622/769, 265/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 677/255, 622/769, 265/661

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 677/255,622/769,265/661

Given fractions are 677/255,622/769,265/661

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 677,622,265

Greatest Common Factor of Numerators i.e. GCF of 677,622,265 is 1 .

LCM of Denominators means LCM of 255,769,661 as per the given fractions.

LCM of 255,769,661 is 129618795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 677,622,265

GCF of Fractions 677/255,622/769,265/661 is 1/129618795

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

Greatest Common Factor of 677,622,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,622,265 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 677,622,265 . The biggest common factor number is the GCF number.
So the greatest common factor 677,622,265 is 1.

Lets's calculate LCM of 255,769,661

Given numbers has no common factors except 1. So, there LCM is their product i.e 129618795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129618795

Therefore, the GCF of Fractions 677/255,622/769,265/661 is 1/129618795

Least Common Multiple of 255,769,661 with GCF Formula

Least Common Multiple of 255,769,661 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 255,769,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,769,661) = 1

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

GCF(255,769,661) x common factors =1 x 1 = 1

LCM(255,769,661) = ( 255 × 769 × 661 ) / 1

LCM(255,769,661) = 129618795 / 1

LCM(255,769,661) = 129618795


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 677/255, 622/769, 265/661

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 677/255, 622/769, 265/661?

Answer: GCF of Numerators as per given numbers 677/255, 622/769, 265/661 is

GCF of Numerators i.e. for 677,622,265 is 1

LCM of denominators i.e. for 255,769,661 is 129618795.

Thus, GCF of Fractions is 1/129618795.Finally, GCF of Fractions for 677/255, 622/769, 265/661 is 1/129618795.