Greatest Common Factor of 86/67, 85/71, 526/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/67, 85/71, 526/535

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 86/67,85/71,526/535

Given fractions are 86/67,85/71,526/535

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 86,85,526

Greatest Common Factor of Numerators i.e. GCF of 86,85,526 is 1 .

LCM of Denominators means LCM of 67,71,535 as per the given fractions.

LCM of 67,71,535 is 2544995 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,85,526

GCF of Fractions 86/67,85/71,526/535 is 1/2544995

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

Greatest Common Factor of 86,85,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,85,526 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 86,85,526 . The biggest common factor number is the GCF number.
So the greatest common factor 86,85,526 is 1.

Lets's calculate LCM of 67,71,535

Given numbers has no common factors except 1. So, there LCM is their product i.e 2544995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2544995

Therefore, the GCF of Fractions 86/67,85/71,526/535 is 1/2544995

Least Common Multiple of 67,71,535 with GCF Formula

Least Common Multiple of 67,71,535 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 67,71,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,71,535) = 1

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

GCF(67,71,535) x common factors =1 x 1 = 1

LCM(67,71,535) = ( 67 × 71 × 535 ) / 1

LCM(67,71,535) = 2544995 / 1

LCM(67,71,535) = 2544995


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 86/67, 85/71, 526/535

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 86/67, 85/71, 526/535?

Answer: GCF of Numerators as per given numbers 86/67, 85/71, 526/535 is

GCF of Numerators i.e. for 86,85,526 is 1

LCM of denominators i.e. for 67,71,535 is 2544995.

Thus, GCF of Fractions is 1/2544995.Finally, GCF of Fractions for 86/67, 85/71, 526/535 is 1/2544995.