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GCF of 5063/195, 9091/1716

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 5063/195, 9091/1716 i.e 1/8580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5063/195, 9091/1716.

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 5063/195,9091/1716?

Given fractions are 5063/195,9091/1716

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 5063/195,9091/1716, numerators are 5063,9091

Denominators are 195,1716

The GCF of 5063,9091 is 1 .

LCM of 195,1716 is 8580.

The greatest common factor of 5063/195,9091/1716 = [GCF of 5063,9091]/[LCM of 195,1716]= 1/8580

Therefore, the GCF of 5063/195,9091/1716 is 1/8580.

Greatest Common Factor of 5063,9091

To find the highest common factor of 5063,9091, we have to find the factors of both numbers and list the highest common factor.

The factors of 5063 are 1, 61, 83, 5063

The factors of 9091 are 1, 9091

The HCF of 5063,9091 is 1.

Lets's calculate GCF of 5063,9091

Greatest Common Factor (GCF) of 5063,9091 By Common Division

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

Greatest Common Factor of 5063,9091 By Matching Biggest Common Factor Method

Greatest Common Factor of 5063,9091 By Matching Biggest Common Factor Method

Now, list down the factors of 5063

:

1,61,83,5063

Now, list down the factors of 9091

:

1,9091

Greatest Common Factor

We found the factors 5063,9091 . The biggest common factor number is the GCF number.
So the greatest common factor 5063,9091 is 1.

Lets's calculate LCM of 195,1716

Lowest Common Multiple of 195,1716 using Common Division

3 195, 1716
13 65, 572
5, 44

∴ So the LCM of the given numbers is 3 x 13 x 5 x 44 = 8580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8580

Therefore, the GCF of Fractions 5063/195,9091/1716 is 1/8580

Least Common Multiple of 195,1716 with GCF Formula

Least Common Multiple of 195,1716 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 195,1716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,1716) = 39

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

GCF(195,1716) x common factors =39 x 1 = 39

LCM(195,1716) = ( 195 × 1716 ) / 39

LCM(195,1716) = 334620 / 39

LCM(195,1716) = 8580


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FAQs on GCF of Fractions of 5063/195, 9091/1716

1. What is the HCF of 5063,9091?

The HCF of 5063,9091 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 5063/195, 9091/1716?

Answer: GCF of Numerators as per given numbers 5063/195, 9091/1716 is

GCF of Numerators i.e. for 5063,9091 is 1

LCM of denominators i.e. for 195,1716 is 8580.

Thus, GCF of Fractions is 1/8580.Finally, GCF of Fractions for 5063/195, 9091/1716 is 1/8580.