How to Find GCF of 6714/973, 9461/2435?

GCF of 6714/973, 9461/2435

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 6714/973, 9461/2435 i.e 1/2369255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6714/973, 9461/2435.

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 6714/973,9461/2435?

Given fractions are 6714/973,9461/2435

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 6714/973,9461/2435, numerators are 6714,9461

Denominators are 973,2435

The GCF of 6714,9461 is 1 .

LCM of 973,2435 is 2369255.

The greatest common factor of 6714/973,9461/2435 = [GCF of 6714,9461]/[LCM of 973,2435]= 1/2369255

Therefore, the GCF of 6714/973,9461/2435 is 1/2369255.

Greatest Common Factor of 6714,9461

To find the highest common factor of 6714,9461, we have to find the factors of both numbers and list the highest common factor.

The factors of 6714 are 1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714

The factors of 9461 are 1, 9461

The HCF of 6714,9461 is 1.

Lets's calculate GCF of 6714,9461

Greatest Common Factor (GCF) of 6714,9461 By Common Division

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

Greatest Common Factor of 6714,9461 By Matching Biggest Common Factor Method

Now, list down the factors of 6714

1,2,3,6,9,18,373,746,1119,2238,3357,6714

Now, list down the factors of 9461

1,9461

Greatest Common Factor

We found the factors 6714,9461 . The biggest common factor number is the GCF number.
So the greatest common factor 6714,9461 is 1.

Lets's calculate LCM of 973,2435

Lowest Common Multiple of 973,2435 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2369255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2369255

Therefore, the GCF of Fractions 6714/973,9461/2435 is 1/2369255

Least Common Multiple of 973,2435 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 973,2435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,2435) = 1

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

GCF(973,2435) x common factors =1 x 1 = 1

LCM(973,2435) = ( 973 × 2435 ) / 1

LCM(973,2435) = 2369255 / 1

LCM(973,2435) = 2369255

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6714/973, 9461/2435

1. What is the HCF of 6714,9461?

The HCF of 6714,9461 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 6714/973, 9461/2435?

Answer: GCF of Numerators as per given numbers 6714/973, 9461/2435 is

GCF of Numerators i.e. for 6714,9461 is 1

LCM of denominators i.e. for 973,2435 is 2369255.

Thus, GCF of Fractions is 1/2369255.Finally, GCF of Fractions for 6714/973, 9461/2435 is 1/2369255.