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GCF of 7793/498, 9809/628

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 7793/498, 9809/628 i.e 1/156372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7793/498, 9809/628.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 7793/498,9809/628?

Given fractions are 7793/498,9809/628

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 7793/498,9809/628, numerators are 7793,9809

Denominators are 498,628

The GCF of 7793,9809 is 1 .

LCM of 498,628 is 156372.

The greatest common factor of 7793/498,9809/628 = [GCF of 7793,9809]/[LCM of 498,628]= 1/156372

Therefore, the GCF of 7793/498,9809/628 is 1/156372.

Greatest Common Factor of 7793,9809

To find the highest common factor of 7793,9809, we have to find the factors of both numbers and list the highest common factor.

The factors of 7793 are 1, 7793

The factors of 9809 are 1, 17, 577, 9809

The HCF of 7793,9809 is 1.

Lets's calculate GCF of 7793,9809

Greatest Common Factor (GCF) of 7793,9809 By Common Division

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

Greatest Common Factor of 7793,9809 By Matching Biggest Common Factor Method

Greatest Common Factor of 7793,9809 By Matching Biggest Common Factor Method

Now, list down the factors of 7793

:

1,7793

Now, list down the factors of 9809

:

1,17,577,9809

Greatest Common Factor

We found the factors 7793,9809 . The biggest common factor number is the GCF number.
So the greatest common factor 7793,9809 is 1.

Lets's calculate LCM of 498,628

Lowest Common Multiple of 498,628 using Common Division

2 498, 628
249, 314

∴ So the LCM of the given numbers is 2 x 249 x 314 = 156372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156372

Therefore, the GCF of Fractions 7793/498,9809/628 is 1/156372

Least Common Multiple of 498,628 with GCF Formula

Least Common Multiple of 498,628 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 498,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,628) = 2

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

GCF(498,628) x common factors =2 x 1 = 2

LCM(498,628) = ( 498 × 628 ) / 2

LCM(498,628) = 312744 / 2

LCM(498,628) = 156372


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FAQs on GCF of Fractions of 7793/498, 9809/628

1. What is the HCF of 7793,9809?

The HCF of 7793,9809 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 7793/498, 9809/628?

Answer: GCF of Numerators as per given numbers 7793/498, 9809/628 is

GCF of Numerators i.e. for 7793,9809 is 1

LCM of denominators i.e. for 498,628 is 156372.

Thus, GCF of Fractions is 1/156372.Finally, GCF of Fractions for 7793/498, 9809/628 is 1/156372.