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GCF of 8737/532, 4993/856

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 8737/532, 4993/856 i.e 1/113848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8737/532, 4993/856.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8737/532,4993/856?

Given fractions are 8737/532,4993/856

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 8737/532,4993/856, numerators are 8737,4993

Denominators are 532,856

The GCF of 8737,4993 is 1 .

LCM of 532,856 is 113848.

The greatest common factor of 8737/532,4993/856 = [GCF of 8737,4993]/[LCM of 532,856]= 1/113848

Therefore, the GCF of 8737/532,4993/856 is 1/113848.

Greatest Common Factor of 8737,4993

To find the highest common factor of 8737,4993, we have to find the factors of both numbers and list the highest common factor.

The factors of 8737 are 1, 8737

The factors of 4993 are 1, 4993

The HCF of 8737,4993 is 1.

Lets's calculate GCF of 8737,4993

Greatest Common Factor (GCF) of 8737,4993 By Common Division

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

Greatest Common Factor of 8737,4993 By Matching Biggest Common Factor Method

Greatest Common Factor of 8737,4993 By Matching Biggest Common Factor Method

Now, list down the factors of 8737

:

1,8737

Now, list down the factors of 4993

:

1,4993

Greatest Common Factor

We found the factors 8737,4993 . The biggest common factor number is the GCF number.
So the greatest common factor 8737,4993 is 1.

Lets's calculate LCM of 532,856

Lowest Common Multiple of 532,856 using Common Division

2 532, 856
2 266, 428
133, 214

∴ So the LCM of the given numbers is 2 x 2 x 133 x 214 = 113848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113848

Therefore, the GCF of Fractions 8737/532,4993/856 is 1/113848

Least Common Multiple of 532,856 with GCF Formula

Least Common Multiple of 532,856 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 532,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,856) = 4

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

GCF(532,856) x common factors =4 x 1 = 4

LCM(532,856) = ( 532 × 856 ) / 4

LCM(532,856) = 455392 / 4

LCM(532,856) = 113848


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FAQs on GCF of Fractions of 8737/532, 4993/856

1. What is the HCF of 8737,4993?

The HCF of 8737,4993 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 8737/532, 4993/856?

Answer: GCF of Numerators as per given numbers 8737/532, 4993/856 is

GCF of Numerators i.e. for 8737,4993 is 1

LCM of denominators i.e. for 532,856 is 113848.

Thus, GCF of Fractions is 1/113848.Finally, GCF of Fractions for 8737/532, 4993/856 is 1/113848.