How to Find GCF of 2861/302, 8847/4541?

GCF of 2861/302, 8847/4541

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 2861/302, 8847/4541 i.e 1/1371382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2861/302, 8847/4541.

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 2861/302,8847/4541?

Given fractions are 2861/302,8847/4541

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 2861/302,8847/4541, numerators are 2861,8847

Denominators are 302,4541

The GCF of 2861,8847 is 1 .

LCM of 302,4541 is 1371382.

The greatest common factor of 2861/302,8847/4541 = [GCF of 2861,8847]/[LCM of 302,4541]= 1/1371382

Therefore, the GCF of 2861/302,8847/4541 is 1/1371382.

Greatest Common Factor of 2861,8847

To find the highest common factor of 2861,8847, we have to find the factors of both numbers and list the highest common factor.

The factors of 2861 are 1, 2861

The factors of 8847 are 1, 3, 9, 983, 2949, 8847

The HCF of 2861,8847 is 1.

Lets's calculate GCF of 2861,8847

Greatest Common Factor (GCF) of 2861,8847 By Common Division

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

Greatest Common Factor of 2861,8847 By Matching Biggest Common Factor Method

Now, list down the factors of 2861

1,2861

Now, list down the factors of 8847

1,3,9,983,2949,8847

Greatest Common Factor

We found the factors 2861,8847 . The biggest common factor number is the GCF number.
So the greatest common factor 2861,8847 is 1.

Lets's calculate LCM of 302,4541

Lowest Common Multiple of 302,4541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1371382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1371382

Therefore, the GCF of Fractions 2861/302,8847/4541 is 1/1371382

Least Common Multiple of 302,4541 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 302,4541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,4541) = 1

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

GCF(302,4541) x common factors =1 x 1 = 1

LCM(302,4541) = ( 302 × 4541 ) / 1

LCM(302,4541) = 1371382 / 1

LCM(302,4541) = 1371382

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2861/302, 8847/4541

1. What is the HCF of 2861,8847?

The HCF of 2861,8847 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 2861/302, 8847/4541?

Answer: GCF of Numerators as per given numbers 2861/302, 8847/4541 is

GCF of Numerators i.e. for 2861,8847 is 1

LCM of denominators i.e. for 302,4541 is 1371382.

Thus, GCF of Fractions is 1/1371382.Finally, GCF of Fractions for 2861/302, 8847/4541 is 1/1371382.