How to Find GCF of 5218/539, 2549/5059?

GCF of 5218/539, 2549/5059

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 5218/539, 2549/5059 i.e 1/2726801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5218/539, 2549/5059.

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 5218/539,2549/5059?

Given fractions are 5218/539,2549/5059

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 5218/539,2549/5059, numerators are 5218,2549

Denominators are 539,5059

The GCF of 5218,2549 is 1 .

LCM of 539,5059 is 2726801.

The greatest common factor of 5218/539,2549/5059 = [GCF of 5218,2549]/[LCM of 539,5059]= 1/2726801

Therefore, the GCF of 5218/539,2549/5059 is 1/2726801.

Greatest Common Factor of 5218,2549

To find the highest common factor of 5218,2549, we have to find the factors of both numbers and list the highest common factor.

The factors of 5218 are 1, 2, 2609, 5218

The factors of 2549 are 1, 2549

The HCF of 5218,2549 is 1.

Lets's calculate GCF of 5218,2549

Greatest Common Factor (GCF) of 5218,2549 By Common Division

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

Greatest Common Factor of 5218,2549 By Matching Biggest Common Factor Method

Now, list down the factors of 5218

1,2,2609,5218

Now, list down the factors of 2549

1,2549

Greatest Common Factor

We found the factors 5218,2549 . The biggest common factor number is the GCF number.
So the greatest common factor 5218,2549 is 1.

Lets's calculate LCM of 539,5059

Lowest Common Multiple of 539,5059 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2726801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2726801

Therefore, the GCF of Fractions 5218/539,2549/5059 is 1/2726801

Least Common Multiple of 539,5059 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 539,5059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,5059) = 1

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

GCF(539,5059) x common factors =1 x 1 = 1

LCM(539,5059) = ( 539 × 5059 ) / 1

LCM(539,5059) = 2726801 / 1

LCM(539,5059) = 2726801

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FAQs on GCF of Fractions of 5218/539, 2549/5059

1. What is the HCF of 5218,2549?

The HCF of 5218,2549 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 5218/539, 2549/5059?

Answer: GCF of Numerators as per given numbers 5218/539, 2549/5059 is

GCF of Numerators i.e. for 5218,2549 is 1

LCM of denominators i.e. for 539,5059 is 2726801.

Thus, GCF of Fractions is 1/2726801.Finally, GCF of Fractions for 5218/539, 2549/5059 is 1/2726801.