Greatest Common Factor of 277/78, 267/85, 698/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 277/78, 267/85, 698/17

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 277/78,267/85,698/17

Given fractions are 277/78,267/85,698/17

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 277,267,698

Greatest Common Factor of Numerators i.e. GCF of 277,267,698 is 1 .

LCM of Denominators means LCM of 78,85,17 as per the given fractions.

LCM of 78,85,17 is 6630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 277,267,698

GCF of Fractions 277/78,267/85,698/17 is 1/6630

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

Greatest Common Factor of 277,267,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,267,698 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 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 277,267,698 . The biggest common factor number is the GCF number.
So the greatest common factor 277,267,698 is 1.

Lets's calculate LCM of 78,85,17

17 78, 85, 17
78, 5, 1

∴ So the LCM of the given numbers is 17 x 78 x 5 x 1 = 6630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6630

Therefore, the GCF of Fractions 277/78,267/85,698/17 is 1/6630

Least Common Multiple of 78,85,17 with GCF Formula

Least Common Multiple of 78,85,17 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 78,85,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,85,17) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(78,85,17) x common factors =1 x 17 = 17

LCM(78,85,17) = ( 78 × 85 × 17 ) / 17

LCM(78,85,17) = 112710 / 17

LCM(78,85,17) = 6630


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 277/78, 267/85, 698/17

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 277/78, 267/85, 698/17?

Answer: GCF of Numerators as per given numbers 277/78, 267/85, 698/17 is

GCF of Numerators i.e. for 277,267,698 is 1

LCM of denominators i.e. for 78,85,17 is 6630.

Thus, GCF of Fractions is 1/6630.Finally, GCF of Fractions for 277/78, 267/85, 698/17 is 1/6630.