How to Find GCF of 7813/206, 3103/2781?

GCF of 7813/206, 3103/2781

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 7813/206, 3103/2781 i.e 1/5562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7813/206, 3103/2781.

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 7813/206,3103/2781?

Given fractions are 7813/206,3103/2781

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 7813/206,3103/2781, numerators are 7813,3103

Denominators are 206,2781

The GCF of 7813,3103 is 1 .

LCM of 206,2781 is 5562.

The greatest common factor of 7813/206,3103/2781 = [GCF of 7813,3103]/[LCM of 206,2781]= 1/5562

Therefore, the GCF of 7813/206,3103/2781 is 1/5562.

Greatest Common Factor of 7813,3103

To find the highest common factor of 7813,3103, we have to find the factors of both numbers and list the highest common factor.

The factors of 7813 are 1, 13, 601, 7813

The factors of 3103 are 1, 29, 107, 3103

The HCF of 7813,3103 is 1.

Lets's calculate GCF of 7813,3103

Greatest Common Factor (GCF) of 7813,3103 By Common Division

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

Greatest Common Factor of 7813,3103 By Matching Biggest Common Factor Method

Now, list down the factors of 7813

1,13,601,7813

Now, list down the factors of 3103

1,29,107,3103

Greatest Common Factor

We found the factors 7813,3103 . The biggest common factor number is the GCF number.
So the greatest common factor 7813,3103 is 1.

Lets's calculate LCM of 206,2781

Lowest Common Multiple of 206,2781 using Common Division

103	206, 2781
	2, 27

∴ So the LCM of the given numbers is 103 x 2 x 27 = 5562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5562

Therefore, the GCF of Fractions 7813/206,3103/2781 is 1/5562

Least Common Multiple of 206,2781 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 206,2781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,2781) = 103

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

GCF(206,2781) x common factors =103 x 1 = 103

LCM(206,2781) = ( 206 × 2781 ) / 103

LCM(206,2781) = 572886 / 103

LCM(206,2781) = 5562

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FAQs on GCF of Fractions of 7813/206, 3103/2781

1. What is the HCF of 7813,3103?

The HCF of 7813,3103 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 7813/206, 3103/2781?

Answer: GCF of Numerators as per given numbers 7813/206, 3103/2781 is

GCF of Numerators i.e. for 7813,3103 is 1

LCM of denominators i.e. for 206,2781 is 5562.

Thus, GCF of Fractions is 1/5562.Finally, GCF of Fractions for 7813/206, 3103/2781 is 1/5562.