How to Find GCF of 5403/638, 4810/2781?

GCF of 5403/638, 4810/2781

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 5403/638, 4810/2781 i.e 1/1774278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5403/638, 4810/2781.

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 5403/638,4810/2781?

Given fractions are 5403/638,4810/2781

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 5403/638,4810/2781, numerators are 5403,4810

Denominators are 638,2781

The GCF of 5403,4810 is 1 .

LCM of 638,2781 is 1774278.

The greatest common factor of 5403/638,4810/2781 = [GCF of 5403,4810]/[LCM of 638,2781]= 1/1774278

Therefore, the GCF of 5403/638,4810/2781 is 1/1774278.

Greatest Common Factor of 5403,4810

To find the highest common factor of 5403,4810, we have to find the factors of both numbers and list the highest common factor.

The factors of 5403 are 1, 3, 1801, 5403

The factors of 4810 are 1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 185, 370, 481, 962, 2405, 4810

The HCF of 5403,4810 is 1.

Lets's calculate GCF of 5403,4810

Greatest Common Factor (GCF) of 5403,4810 By Common Division

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

Greatest Common Factor of 5403,4810 By Matching Biggest Common Factor Method

Now, list down the factors of 5403

1,3,1801,5403

Now, list down the factors of 4810

1,2,5,10,13,26,37,65,74,130,185,370,481,962,2405,4810

Greatest Common Factor

We found the factors 5403,4810 . The biggest common factor number is the GCF number.
So the greatest common factor 5403,4810 is 1.

Lets's calculate LCM of 638,2781

Lowest Common Multiple of 638,2781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1774278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1774278

Therefore, the GCF of Fractions 5403/638,4810/2781 is 1/1774278

Least Common Multiple of 638,2781 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 638,2781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,2781) = 1

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

GCF(638,2781) x common factors =1 x 1 = 1

LCM(638,2781) = ( 638 × 2781 ) / 1

LCM(638,2781) = 1774278 / 1

LCM(638,2781) = 1774278

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FAQs on GCF of Fractions of 5403/638, 4810/2781

1. What is the HCF of 5403,4810?

The HCF of 5403,4810 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 5403/638, 4810/2781?

Answer: GCF of Numerators as per given numbers 5403/638, 4810/2781 is

GCF of Numerators i.e. for 5403,4810 is 1

LCM of denominators i.e. for 638,2781 is 1774278.

Thus, GCF of Fractions is 1/1774278.Finally, GCF of Fractions for 5403/638, 4810/2781 is 1/1774278.