How to Find GCF of 7421/540, 3934/5039?

GCF of 7421/540, 3934/5039

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 7421/540, 3934/5039 i.e 1/2721060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7421/540, 3934/5039.

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 7421/540,3934/5039?

Given fractions are 7421/540,3934/5039

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 7421/540,3934/5039, numerators are 7421,3934

Denominators are 540,5039

The GCF of 7421,3934 is 1 .

LCM of 540,5039 is 2721060.

The greatest common factor of 7421/540,3934/5039 = [GCF of 7421,3934]/[LCM of 540,5039]= 1/2721060

Therefore, the GCF of 7421/540,3934/5039 is 1/2721060.

Greatest Common Factor of 7421,3934

To find the highest common factor of 7421,3934, we have to find the factors of both numbers and list the highest common factor.

The factors of 7421 are 1, 41, 181, 7421

The factors of 3934 are 1, 2, 7, 14, 281, 562, 1967, 3934

The HCF of 7421,3934 is 1.

Lets's calculate GCF of 7421,3934

Greatest Common Factor (GCF) of 7421,3934 By Common Division

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

Greatest Common Factor of 7421,3934 By Matching Biggest Common Factor Method

Now, list down the factors of 7421

1,41,181,7421

Now, list down the factors of 3934

1,2,7,14,281,562,1967,3934

Greatest Common Factor

We found the factors 7421,3934 . The biggest common factor number is the GCF number.
So the greatest common factor 7421,3934 is 1.

Lets's calculate LCM of 540,5039

Lowest Common Multiple of 540,5039 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2721060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2721060

Therefore, the GCF of Fractions 7421/540,3934/5039 is 1/2721060

Least Common Multiple of 540,5039 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 540,5039 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,5039) = 1

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

GCF(540,5039) x common factors =1 x 1 = 1

LCM(540,5039) = ( 540 × 5039 ) / 1

LCM(540,5039) = 2721060 / 1

LCM(540,5039) = 2721060

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FAQs on GCF of Fractions of 7421/540, 3934/5039

1. What is the HCF of 7421,3934?

The HCF of 7421,3934 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 7421/540, 3934/5039?

Answer: GCF of Numerators as per given numbers 7421/540, 3934/5039 is

GCF of Numerators i.e. for 7421,3934 is 1

LCM of denominators i.e. for 540,5039 is 2721060.

Thus, GCF of Fractions is 1/2721060.Finally, GCF of Fractions for 7421/540, 3934/5039 is 1/2721060.