How to Find GCF of 279/428, 2113/4612?

GCF of 279/428, 2113/4612

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 279/428, 2113/4612 i.e 1/493484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 279/428, 2113/4612.

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 279/428,2113/4612?

Given fractions are 279/428,2113/4612

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 279/428,2113/4612, numerators are 279,2113

Denominators are 428,4612

The GCF of 279,2113 is 1 .

LCM of 428,4612 is 493484.

The greatest common factor of 279/428,2113/4612 = [GCF of 279,2113]/[LCM of 428,4612]= 1/493484

Therefore, the GCF of 279/428,2113/4612 is 1/493484.

Greatest Common Factor of 279,2113

To find the highest common factor of 279,2113, we have to find the factors of both numbers and list the highest common factor.

The factors of 279 are 1, 3, 9, 31, 93, 279

The factors of 2113 are 1, 2113

The HCF of 279,2113 is 1.

Lets's calculate GCF of 279,2113

Greatest Common Factor (GCF) of 279,2113 By Common Division

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

Greatest Common Factor of 279,2113 By Matching Biggest Common Factor Method

Now, list down the factors of 279

1,3,9,31,93,279

Now, list down the factors of 2113

1,2113

Greatest Common Factor

We found the factors 279,2113 . The biggest common factor number is the GCF number.
So the greatest common factor 279,2113 is 1.

Lets's calculate LCM of 428,4612

Lowest Common Multiple of 428,4612 using Common Division

2	428, 4612
2	214, 2306
	107, 1153

∴ So the LCM of the given numbers is 2 x 2 x 107 x 1153 = 493484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493484

Therefore, the GCF of Fractions 279/428,2113/4612 is 1/493484

Least Common Multiple of 428,4612 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 428,4612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,4612) = 4

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

GCF(428,4612) x common factors =4 x 1 = 4

LCM(428,4612) = ( 428 × 4612 ) / 4

LCM(428,4612) = 1973936 / 4

LCM(428,4612) = 493484

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FAQs on GCF of Fractions of 279/428, 2113/4612

1. What is the HCF of 279,2113?

The HCF of 279,2113 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 279/428, 2113/4612?

Answer: GCF of Numerators as per given numbers 279/428, 2113/4612 is

GCF of Numerators i.e. for 279,2113 is 1

LCM of denominators i.e. for 428,4612 is 493484.

Thus, GCF of Fractions is 1/493484.Finally, GCF of Fractions for 279/428, 2113/4612 is 1/493484.