How to Find GCF of 5056/491, 4025/5718?

GCF of 5056/491, 4025/5718

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 5056/491, 4025/5718 i.e 1/2807538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5056/491, 4025/5718.

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 5056/491,4025/5718?

Given fractions are 5056/491,4025/5718

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 5056/491,4025/5718, numerators are 5056,4025

Denominators are 491,5718

The GCF of 5056,4025 is 1 .

LCM of 491,5718 is 2807538.

The greatest common factor of 5056/491,4025/5718 = [GCF of 5056,4025]/[LCM of 491,5718]= 1/2807538

Therefore, the GCF of 5056/491,4025/5718 is 1/2807538.

Greatest Common Factor of 5056,4025

To find the highest common factor of 5056,4025, we have to find the factors of both numbers and list the highest common factor.

The factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056

The factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025

The HCF of 5056,4025 is 1.

Lets's calculate GCF of 5056,4025

Greatest Common Factor (GCF) of 5056,4025 By Common Division

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

Greatest Common Factor of 5056,4025 By Matching Biggest Common Factor Method

Now, list down the factors of 5056

1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056

Now, list down the factors of 4025

1,5,7,23,25,35,115,161,175,575,805,4025

Greatest Common Factor

We found the factors 5056,4025 . The biggest common factor number is the GCF number.
So the greatest common factor 5056,4025 is 1.

Lets's calculate LCM of 491,5718

Lowest Common Multiple of 491,5718 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2807538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2807538

Therefore, the GCF of Fractions 5056/491,4025/5718 is 1/2807538

Least Common Multiple of 491,5718 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 491,5718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,5718) = 1

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

GCF(491,5718) x common factors =1 x 1 = 1

LCM(491,5718) = ( 491 × 5718 ) / 1

LCM(491,5718) = 2807538 / 1

LCM(491,5718) = 2807538

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FAQs on GCF of Fractions of 5056/491, 4025/5718

1. What is the HCF of 5056,4025?

The HCF of 5056,4025 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 5056/491, 4025/5718?

Answer: GCF of Numerators as per given numbers 5056/491, 4025/5718 is

GCF of Numerators i.e. for 5056,4025 is 1

LCM of denominators i.e. for 491,5718 is 2807538.

Thus, GCF of Fractions is 1/2807538.Finally, GCF of Fractions for 5056/491, 4025/5718 is 1/2807538.