How to Find GCF of 2847/968, 5479/2520?

GCF of 2847/968, 5479/2520

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 2847/968, 5479/2520 i.e 1/304920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2847/968, 5479/2520.

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 2847/968,5479/2520?

Given fractions are 2847/968,5479/2520

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 2847/968,5479/2520, numerators are 2847,5479

Denominators are 968,2520

The GCF of 2847,5479 is 1 .

LCM of 968,2520 is 304920.

The greatest common factor of 2847/968,5479/2520 = [GCF of 2847,5479]/[LCM of 968,2520]= 1/304920

Therefore, the GCF of 2847/968,5479/2520 is 1/304920.

Greatest Common Factor of 2847,5479

To find the highest common factor of 2847,5479, we have to find the factors of both numbers and list the highest common factor.

The factors of 2847 are 1, 3, 13, 39, 73, 219, 949, 2847

The factors of 5479 are 1, 5479

The HCF of 2847,5479 is 1.

Lets's calculate GCF of 2847,5479

Greatest Common Factor (GCF) of 2847,5479 By Common Division

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

Greatest Common Factor of 2847,5479 By Matching Biggest Common Factor Method

Now, list down the factors of 2847

1,3,13,39,73,219,949,2847

Now, list down the factors of 5479

1,5479

Greatest Common Factor

We found the factors 2847,5479 . The biggest common factor number is the GCF number.
So the greatest common factor 2847,5479 is 1.

Lets's calculate LCM of 968,2520

Lowest Common Multiple of 968,2520 using Common Division

2	968, 2520
2	484, 1260
2	242, 630
	121, 315

∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 315 = 304920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304920

Therefore, the GCF of Fractions 2847/968,5479/2520 is 1/304920

Least Common Multiple of 968,2520 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 968,2520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,2520) = 8

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

GCF(968,2520) x common factors =8 x 1 = 8

LCM(968,2520) = ( 968 × 2520 ) / 8

LCM(968,2520) = 2439360 / 8

LCM(968,2520) = 304920

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2847/968, 5479/2520

1. What is the HCF of 2847,5479?

The HCF of 2847,5479 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 2847/968, 5479/2520?

Answer: GCF of Numerators as per given numbers 2847/968, 5479/2520 is

GCF of Numerators i.e. for 2847,5479 is 1

LCM of denominators i.e. for 968,2520 is 304920.

Thus, GCF of Fractions is 1/304920.Finally, GCF of Fractions for 2847/968, 5479/2520 is 1/304920.