Greatest Common Factor of 77/685, 217/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/685, 217/239

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 77/685,217/239

Given fractions are 77/685,217/239

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 77,217

Greatest Common Factor of Numerators i.e. GCF of 77,217 is 7 .

LCM of Denominators means LCM of 685,239 as per the given fractions.

LCM of 685,239 is 163715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,217

GCF of Fractions 77/685,217/239 is 7/163715

7 77, 217
11, 31

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 77,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,217 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 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 77,217 . The biggest common factor number is the GCF number.
So the greatest common factor 77,217 is 7.

Lets's calculate LCM of 685,239

Given numbers has no common factors except 1. So, there LCM is their product i.e 163715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/163715

Therefore, the GCF of Fractions 77/685,217/239 is 7/163715

Least Common Multiple of 685,239 with GCF Formula

Least Common Multiple of 685,239 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 685,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,239) = 1

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

GCF(685,239) x common factors =1 x 1 = 1

LCM(685,239) = ( 685 × 239 ) / 1

LCM(685,239) = 163715 / 1

LCM(685,239) = 163715


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 77/685, 217/239

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 77/685, 217/239?

Answer: GCF of Numerators as per given numbers 77/685, 217/239 is

GCF of Numerators i.e. for 77,217 is 7

LCM of denominators i.e. for 685,239 is 163715.

Thus, GCF of Fractions is 7/163715.Finally, GCF of Fractions for 77/685, 217/239 is 7/163715.