Greatest Common Factor of 286/71, 785/21, 526/97

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 286/71, 785/21, 526/97

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 286/71,785/21,526/97

Given fractions are 286/71,785/21,526/97

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 286,785,526

Greatest Common Factor of Numerators i.e. GCF of 286,785,526 is 1 .

LCM of Denominators means LCM of 71,21,97 as per the given fractions.

LCM of 71,21,97 is 144627 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 286,785,526

GCF of Fractions 286/71,785/21,526/97 is 1/144627

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

Greatest Common Factor of 286,785,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,785,526 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

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 286,785,526 . The biggest common factor number is the GCF number.
So the greatest common factor 286,785,526 is 1.

Lets's calculate LCM of 71,21,97

Given numbers has no common factors except 1. So, there LCM is their product i.e 144627

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144627

Therefore, the GCF of Fractions 286/71,785/21,526/97 is 1/144627

Least Common Multiple of 71,21,97 with GCF Formula

Least Common Multiple of 71,21,97 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 71,21,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,21,97) = 1

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

GCF(71,21,97) x common factors =1 x 1 = 1

LCM(71,21,97) = ( 71 × 21 × 97 ) / 1

LCM(71,21,97) = 144627 / 1

LCM(71,21,97) = 144627


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 286/71, 785/21, 526/97

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 286/71, 785/21, 526/97?

Answer: GCF of Numerators as per given numbers 286/71, 785/21, 526/97 is

GCF of Numerators i.e. for 286,785,526 is 1

LCM of denominators i.e. for 71,21,97 is 144627.

Thus, GCF of Fractions is 1/144627.Finally, GCF of Fractions for 286/71, 785/21, 526/97 is 1/144627.