How to Find GCF of 7817/428, 4990/4946?

GCF of 7817/428, 4990/4946

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 7817/428, 4990/4946 i.e 1/1058444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7817/428, 4990/4946.

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 7817/428,4990/4946?

Given fractions are 7817/428,4990/4946

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 7817/428,4990/4946, numerators are 7817,4990

Denominators are 428,4946

The GCF of 7817,4990 is 1 .

LCM of 428,4946 is 1058444.

The greatest common factor of 7817/428,4990/4946 = [GCF of 7817,4990]/[LCM of 428,4946]= 1/1058444

Therefore, the GCF of 7817/428,4990/4946 is 1/1058444.

Greatest Common Factor of 7817,4990

To find the highest common factor of 7817,4990, we have to find the factors of both numbers and list the highest common factor.

The factors of 7817 are 1, 7817

The factors of 4990 are 1, 2, 5, 10, 499, 998, 2495, 4990

The HCF of 7817,4990 is 1.

Lets's calculate GCF of 7817,4990

Greatest Common Factor (GCF) of 7817,4990 By Common Division

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

Greatest Common Factor of 7817,4990 By Matching Biggest Common Factor Method

Now, list down the factors of 7817

1,7817

Now, list down the factors of 4990

1,2,5,10,499,998,2495,4990

Greatest Common Factor

We found the factors 7817,4990 . The biggest common factor number is the GCF number.
So the greatest common factor 7817,4990 is 1.

Lets's calculate LCM of 428,4946

Lowest Common Multiple of 428,4946 using Common Division

2	428, 4946
	214, 2473

∴ So the LCM of the given numbers is 2 x 214 x 2473 = 1058444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1058444

Therefore, the GCF of Fractions 7817/428,4990/4946 is 1/1058444

Least Common Multiple of 428,4946 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 428,4946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,4946) = 2

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

GCF(428,4946) x common factors =2 x 1 = 2

LCM(428,4946) = ( 428 × 4946 ) / 2

LCM(428,4946) = 2116888 / 2

LCM(428,4946) = 1058444

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FAQs on GCF of Fractions of 7817/428, 4990/4946

1. What is the HCF of 7817,4990?

The HCF of 7817,4990 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 7817/428, 4990/4946?

Answer: GCF of Numerators as per given numbers 7817/428, 4990/4946 is

GCF of Numerators i.e. for 7817,4990 is 1

LCM of denominators i.e. for 428,4946 is 1058444.

Thus, GCF of Fractions is 1/1058444.Finally, GCF of Fractions for 7817/428, 4990/4946 is 1/1058444.