How to Find GCF of 8437/275, 4724/2652?

GCF of 8437/275, 4724/2652

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 8437/275, 4724/2652 i.e 1/729300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8437/275, 4724/2652.

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 8437/275,4724/2652?

Given fractions are 8437/275,4724/2652

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 8437/275,4724/2652, numerators are 8437,4724

Denominators are 275,2652

The GCF of 8437,4724 is 1 .

LCM of 275,2652 is 729300.

The greatest common factor of 8437/275,4724/2652 = [GCF of 8437,4724]/[LCM of 275,2652]= 1/729300

Therefore, the GCF of 8437/275,4724/2652 is 1/729300.

Greatest Common Factor of 8437,4724

To find the highest common factor of 8437,4724, we have to find the factors of both numbers and list the highest common factor.

The factors of 8437 are 1, 11, 13, 59, 143, 649, 767, 8437

The factors of 4724 are 1, 2, 4, 1181, 2362, 4724

The HCF of 8437,4724 is 1.

Lets's calculate GCF of 8437,4724

Greatest Common Factor (GCF) of 8437,4724 By Common Division

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

Greatest Common Factor of 8437,4724 By Matching Biggest Common Factor Method

Now, list down the factors of 8437

1,11,13,59,143,649,767,8437

Now, list down the factors of 4724

1,2,4,1181,2362,4724

Greatest Common Factor

We found the factors 8437,4724 . The biggest common factor number is the GCF number.
So the greatest common factor 8437,4724 is 1.

Lets's calculate LCM of 275,2652

Lowest Common Multiple of 275,2652 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 729300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729300

Therefore, the GCF of Fractions 8437/275,4724/2652 is 1/729300

Least Common Multiple of 275,2652 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 275,2652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,2652) = 1

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

GCF(275,2652) x common factors =1 x 1 = 1

LCM(275,2652) = ( 275 × 2652 ) / 1

LCM(275,2652) = 729300 / 1

LCM(275,2652) = 729300

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FAQs on GCF of Fractions of 8437/275, 4724/2652

1. What is the HCF of 8437,4724?

The HCF of 8437,4724 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 8437/275, 4724/2652?

Answer: GCF of Numerators as per given numbers 8437/275, 4724/2652 is

GCF of Numerators i.e. for 8437,4724 is 1

LCM of denominators i.e. for 275,2652 is 729300.

Thus, GCF of Fractions is 1/729300.Finally, GCF of Fractions for 8437/275, 4724/2652 is 1/729300.