How to Find GCF of 5327/118, 6031/7248?

GCF of 5327/118, 6031/7248

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 5327/118, 6031/7248 i.e 1/427632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5327/118, 6031/7248.

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 5327/118,6031/7248?

Given fractions are 5327/118,6031/7248

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 5327/118,6031/7248, numerators are 5327,6031

Denominators are 118,7248

The GCF of 5327,6031 is 1 .

LCM of 118,7248 is 427632.

The greatest common factor of 5327/118,6031/7248 = [GCF of 5327,6031]/[LCM of 118,7248]= 1/427632

Therefore, the GCF of 5327/118,6031/7248 is 1/427632.

Greatest Common Factor of 5327,6031

To find the highest common factor of 5327,6031, we have to find the factors of both numbers and list the highest common factor.

The factors of 5327 are 1, 7, 761, 5327

The factors of 6031 are 1, 37, 163, 6031

The HCF of 5327,6031 is 1.

Lets's calculate GCF of 5327,6031

Greatest Common Factor (GCF) of 5327,6031 By Common Division

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

Greatest Common Factor of 5327,6031 By Matching Biggest Common Factor Method

Now, list down the factors of 5327

1,7,761,5327

Now, list down the factors of 6031

1,37,163,6031

Greatest Common Factor

We found the factors 5327,6031 . The biggest common factor number is the GCF number.
So the greatest common factor 5327,6031 is 1.

Lets's calculate LCM of 118,7248

Lowest Common Multiple of 118,7248 using Common Division

2	118, 7248
	59, 3624

∴ So the LCM of the given numbers is 2 x 59 x 3624 = 427632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427632

Therefore, the GCF of Fractions 5327/118,6031/7248 is 1/427632

Least Common Multiple of 118,7248 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 118,7248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,7248) = 2

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

GCF(118,7248) x common factors =2 x 1 = 2

LCM(118,7248) = ( 118 × 7248 ) / 2

LCM(118,7248) = 855264 / 2

LCM(118,7248) = 427632

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FAQs on GCF of Fractions of 5327/118, 6031/7248

1. What is the HCF of 5327,6031?

The HCF of 5327,6031 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 5327/118, 6031/7248?

Answer: GCF of Numerators as per given numbers 5327/118, 6031/7248 is

GCF of Numerators i.e. for 5327,6031 is 1

LCM of denominators i.e. for 118,7248 is 427632.

Thus, GCF of Fractions is 1/427632.Finally, GCF of Fractions for 5327/118, 6031/7248 is 1/427632.