How to Find GCF of 2794/792, 4889/488?

GCF of 2794/792, 4889/488

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 2794/792, 4889/488 i.e 1/48312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2794/792, 4889/488.

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 2794/792,4889/488?

Given fractions are 2794/792,4889/488

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 2794/792,4889/488, numerators are 2794,4889

Denominators are 792,488

The GCF of 2794,4889 is 1 .

LCM of 792,488 is 48312.

The greatest common factor of 2794/792,4889/488 = [GCF of 2794,4889]/[LCM of 792,488]= 1/48312

Therefore, the GCF of 2794/792,4889/488 is 1/48312.

Greatest Common Factor of 2794,4889

To find the highest common factor of 2794,4889, we have to find the factors of both numbers and list the highest common factor.

The factors of 2794 are 1, 2, 11, 22, 127, 254, 1397, 2794

The factors of 4889 are 1, 4889

The HCF of 2794,4889 is 1.

Lets's calculate GCF of 2794,4889

Greatest Common Factor (GCF) of 2794,4889 By Common Division

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

Greatest Common Factor of 2794,4889 By Matching Biggest Common Factor Method

Now, list down the factors of 2794

1,2,11,22,127,254,1397,2794

Now, list down the factors of 4889

1,4889

Greatest Common Factor

We found the factors 2794,4889 . The biggest common factor number is the GCF number.
So the greatest common factor 2794,4889 is 1.

Lets's calculate LCM of 792,488

Lowest Common Multiple of 792,488 using Common Division

2	792, 488
2	396, 244
2	198, 122
	99, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 61 = 48312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48312

Therefore, the GCF of Fractions 2794/792,4889/488 is 1/48312

Least Common Multiple of 792,488 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 792,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,488) = 8

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

GCF(792,488) x common factors =8 x 1 = 8

LCM(792,488) = ( 792 × 488 ) / 8

LCM(792,488) = 386496 / 8

LCM(792,488) = 48312

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FAQs on GCF of Fractions of 2794/792, 4889/488

1. What is the HCF of 2794,4889?

The HCF of 2794,4889 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 2794/792, 4889/488?

Answer: GCF of Numerators as per given numbers 2794/792, 4889/488 is

GCF of Numerators i.e. for 2794,4889 is 1

LCM of denominators i.e. for 792,488 is 48312.

Thus, GCF of Fractions is 1/48312.Finally, GCF of Fractions for 2794/792, 4889/488 is 1/48312.