How to Find GCF of 9461/638, 2978/5751?

GCF of 9461/638, 2978/5751

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 9461/638, 2978/5751 i.e 1/3669138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9461/638, 2978/5751.

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 9461/638,2978/5751?

Given fractions are 9461/638,2978/5751

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 9461/638,2978/5751, numerators are 9461,2978

Denominators are 638,5751

The GCF of 9461,2978 is 1 .

LCM of 638,5751 is 3669138.

The greatest common factor of 9461/638,2978/5751 = [GCF of 9461,2978]/[LCM of 638,5751]= 1/3669138

Therefore, the GCF of 9461/638,2978/5751 is 1/3669138.

Greatest Common Factor of 9461,2978

To find the highest common factor of 9461,2978, we have to find the factors of both numbers and list the highest common factor.

The factors of 9461 are 1, 9461

The factors of 2978 are 1, 2, 1489, 2978

The HCF of 9461,2978 is 1.

Lets's calculate GCF of 9461,2978

Greatest Common Factor (GCF) of 9461,2978 By Common Division

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

Greatest Common Factor of 9461,2978 By Matching Biggest Common Factor Method

Now, list down the factors of 9461

1,9461

Now, list down the factors of 2978

1,2,1489,2978

Greatest Common Factor

We found the factors 9461,2978 . The biggest common factor number is the GCF number.
So the greatest common factor 9461,2978 is 1.

Lets's calculate LCM of 638,5751

Lowest Common Multiple of 638,5751 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3669138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3669138

Therefore, the GCF of Fractions 9461/638,2978/5751 is 1/3669138

Least Common Multiple of 638,5751 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 638,5751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,5751) = 1

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

GCF(638,5751) x common factors =1 x 1 = 1

LCM(638,5751) = ( 638 × 5751 ) / 1

LCM(638,5751) = 3669138 / 1

LCM(638,5751) = 3669138

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9461/638, 2978/5751

1. What is the HCF of 9461,2978?

The HCF of 9461,2978 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 9461/638, 2978/5751?

Answer: GCF of Numerators as per given numbers 9461/638, 2978/5751 is

GCF of Numerators i.e. for 9461,2978 is 1

LCM of denominators i.e. for 638,5751 is 3669138.

Thus, GCF of Fractions is 1/3669138.Finally, GCF of Fractions for 9461/638, 2978/5751 is 1/3669138.