How to Find GCF of 5302/794, 6130/9621?

GCF of 5302/794, 6130/9621

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 5302/794, 6130/9621 i.e 2/7639074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5302/794, 6130/9621.

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 5302/794,6130/9621?

Given fractions are 5302/794,6130/9621

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 5302/794,6130/9621, numerators are 5302,6130

Denominators are 794,9621

The GCF of 5302,6130 is 2 .

LCM of 794,9621 is 7639074.

The greatest common factor of 5302/794,6130/9621 = [GCF of 5302,6130]/[LCM of 794,9621]= 2/7639074

Therefore, the GCF of 5302/794,6130/9621 is 2/7639074.

Greatest Common Factor of 5302,6130

To find the highest common factor of 5302,6130, we have to find the factors of both numbers and list the highest common factor.

The factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302

The factors of 6130 are 1, 2, 5, 10, 613, 1226, 3065, 6130

The HCF of 5302,6130 is 2.

Lets's calculate GCF of 5302,6130

Greatest Common Factor (GCF) of 5302,6130 By Common Division

2	5302, 6130
	2651, 3065

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5302,6130 By Matching Biggest Common Factor Method

Now, list down the factors of 5302

1,2,11,22,241,482,2651,5302

Now, list down the factors of 6130

1,2,5,10,613,1226,3065,6130

Greatest Common Factor

We found the factors 5302,6130 . The biggest common factor number is the GCF number.
So the greatest common factor 5302,6130 is 2.

Lets's calculate LCM of 794,9621

Lowest Common Multiple of 794,9621 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7639074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7639074

Therefore, the GCF of Fractions 5302/794,6130/9621 is 2/7639074

Least Common Multiple of 794,9621 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 794,9621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,9621) = 1

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

GCF(794,9621) x common factors =1 x 1 = 1

LCM(794,9621) = ( 794 × 9621 ) / 1

LCM(794,9621) = 7639074 / 1

LCM(794,9621) = 7639074

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FAQs on GCF of Fractions of 5302/794, 6130/9621

1. What is the HCF of 5302,6130?

The HCF of 5302,6130 is 2

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 5302/794, 6130/9621?

Answer: GCF of Numerators as per given numbers 5302/794, 6130/9621 is

GCF of Numerators i.e. for 5302,6130 is 2

LCM of denominators i.e. for 794,9621 is 7639074.

Thus, GCF of Fractions is 2/7639074.Finally, GCF of Fractions for 5302/794, 6130/9621 is 2/7639074.