How to Find GCF of 6140/109, 6865/4922?

GCF of 6140/109, 6865/4922

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 6140/109, 6865/4922 i.e 5/536498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6140/109, 6865/4922.

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 6140/109,6865/4922?

Given fractions are 6140/109,6865/4922

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 6140/109,6865/4922, numerators are 6140,6865

Denominators are 109,4922

The GCF of 6140,6865 is 5 .

LCM of 109,4922 is 536498.

The greatest common factor of 6140/109,6865/4922 = [GCF of 6140,6865]/[LCM of 109,4922]= 5/536498

Therefore, the GCF of 6140/109,6865/4922 is 5/536498.

Greatest Common Factor of 6140,6865

To find the highest common factor of 6140,6865, we have to find the factors of both numbers and list the highest common factor.

The factors of 6140 are 1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140

The factors of 6865 are 1, 5, 1373, 6865

The HCF of 6140,6865 is 5.

Lets's calculate GCF of 6140,6865

Greatest Common Factor (GCF) of 6140,6865 By Common Division

5	6140, 6865
	1228, 1373

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6140,6865 By Matching Biggest Common Factor Method

Now, list down the factors of 6140

1,2,4,5,10,20,307,614,1228,1535,3070,6140

Now, list down the factors of 6865

1,5,1373,6865

Greatest Common Factor

We found the factors 6140,6865 . The biggest common factor number is the GCF number.
So the greatest common factor 6140,6865 is 5.

Lets's calculate LCM of 109,4922

Lowest Common Multiple of 109,4922 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 536498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/536498

Therefore, the GCF of Fractions 6140/109,6865/4922 is 5/536498

Least Common Multiple of 109,4922 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 109,4922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,4922) = 1

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

GCF(109,4922) x common factors =1 x 1 = 1

LCM(109,4922) = ( 109 × 4922 ) / 1

LCM(109,4922) = 536498 / 1

LCM(109,4922) = 536498

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FAQs on GCF of Fractions of 6140/109, 6865/4922

1. What is the HCF of 6140,6865?

The HCF of 6140,6865 is 5

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 6140/109, 6865/4922?

Answer: GCF of Numerators as per given numbers 6140/109, 6865/4922 is

GCF of Numerators i.e. for 6140,6865 is 5

LCM of denominators i.e. for 109,4922 is 536498.

Thus, GCF of Fractions is 5/536498.Finally, GCF of Fractions for 6140/109, 6865/4922 is 5/536498.