How to Find GCF of 4878/880, 5314/581?

GCF of 4878/880, 5314/581

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 4878/880, 5314/581 i.e 2/511280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4878/880, 5314/581.

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 4878/880,5314/581?

Given fractions are 4878/880,5314/581

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 4878/880,5314/581, numerators are 4878,5314

Denominators are 880,581

The GCF of 4878,5314 is 2 .

LCM of 880,581 is 511280.

The greatest common factor of 4878/880,5314/581 = [GCF of 4878,5314]/[LCM of 880,581]= 2/511280

Therefore, the GCF of 4878/880,5314/581 is 2/511280.

Greatest Common Factor of 4878,5314

To find the highest common factor of 4878,5314, we have to find the factors of both numbers and list the highest common factor.

The factors of 4878 are 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878

The factors of 5314 are 1, 2, 2657, 5314

The HCF of 4878,5314 is 2.

Lets's calculate GCF of 4878,5314

Greatest Common Factor (GCF) of 4878,5314 By Common Division

2	4878, 5314
	2439, 2657

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

Greatest Common Factor of 4878,5314 By Matching Biggest Common Factor Method

Now, list down the factors of 4878

1,2,3,6,9,18,271,542,813,1626,2439,4878

Now, list down the factors of 5314

1,2,2657,5314

Greatest Common Factor

We found the factors 4878,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 4878,5314 is 2.

Lets's calculate LCM of 880,581

Lowest Common Multiple of 880,581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 511280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/511280

Therefore, the GCF of Fractions 4878/880,5314/581 is 2/511280

Least Common Multiple of 880,581 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 880,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,581) = 1

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

GCF(880,581) x common factors =1 x 1 = 1

LCM(880,581) = ( 880 × 581 ) / 1

LCM(880,581) = 511280 / 1

LCM(880,581) = 511280

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FAQs on GCF of Fractions of 4878/880, 5314/581

1. What is the HCF of 4878,5314?

The HCF of 4878,5314 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 4878/880, 5314/581?

Answer: GCF of Numerators as per given numbers 4878/880, 5314/581 is

GCF of Numerators i.e. for 4878,5314 is 2

LCM of denominators i.e. for 880,581 is 511280.

Thus, GCF of Fractions is 2/511280.Finally, GCF of Fractions for 4878/880, 5314/581 is 2/511280.