How to Find GCF of 886/952, 654/687, 991/124?

GCF of 886/952, 654/687, 991/124

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 886/952, 654/687, 991/124 i.e 1/20274744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/952, 654/687, 991/124.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 886/952,654/687,991/124?

Given fractions are 886/952,654/687,991/124

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 886/952,654/687,991/124, numerators are 886,654,991

Denominators are 952,687,124

The GCF of 886,654,991 is 1 .

LCM of 952,687,124 is 20274744.

The greatest common factor of 886/952,654/687,991/124 = [GCF of 886,654,991]/[LCM of 952,687,124]= 1/20274744

Therefore, the GCF of 886/952,654/687,991/124 is 1/20274744.

Greatest Common Factor of 886,654,991

To find the highest common factor of 886,654,991, we have to find the factors of both numbers and list the highest common factor.

The factors of 886 are 1, 2, 443, 886

The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654

The factors of 991 are 1, 991

The HCF of 886,654,991 is 1.

Lets's calculate GCF of 886,654,991

Greatest Common Factor (GCF) of 886,654,991 By Common Division

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

Greatest Common Factor of 886,654,991 By Matching Biggest Common Factor Method

Now, list down the factors of 886

1,2,443,886

Now, list down the factors of 654

1,2,3,6,109,218,327,654

Now, list down the factors of 991

1,991

Greatest Common Factor

We found the factors 886,654,991 . The biggest common factor number is the GCF number.
So the greatest common factor 886,654,991 is 1.

Lets's calculate LCM of 952,687,124

Lowest Common Multiple of 952,687,124 using Common Division

2	952, 687, 124
2	476, 687, 62
	238, 687, 31

∴ So the LCM of the given numbers is 2 x 2 x 238 x 687 x 31 = 20274744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20274744

Therefore, the GCF of Fractions 886/952,654/687,991/124 is 1/20274744

Least Common Multiple of 952,687,124 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 952,687,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,687,124) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(952,687,124) x common factors =1 x 4 = 4

LCM(952,687,124) = ( 952 × 687 × 124 ) / 4

LCM(952,687,124) = 81098976 / 4

LCM(952,687,124) = 20274744

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 886/952, 654/687, 991/124

1. What is the HCF of 886,654,991?

The HCF of 886,654,991 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 886/952, 654/687, 991/124?

Answer: GCF of Numerators as per given numbers 886/952, 654/687, 991/124 is

GCF of Numerators i.e. for 886,654,991 is 1

LCM of denominators i.e. for 952,687,124 is 20274744.

Thus, GCF of Fractions is 1/20274744.Finally, GCF of Fractions for 886/952, 654/687, 991/124 is 1/20274744.