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GCF of 5223/291, 4691/570

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 5223/291, 4691/570 i.e 1/55290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5223/291, 4691/570.

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 5223/291,4691/570?

Given fractions are 5223/291,4691/570

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 5223/291,4691/570, numerators are 5223,4691

Denominators are 291,570

The GCF of 5223,4691 is 1 .

LCM of 291,570 is 55290.

The greatest common factor of 5223/291,4691/570 = [GCF of 5223,4691]/[LCM of 291,570]= 1/55290

Therefore, the GCF of 5223/291,4691/570 is 1/55290.

Greatest Common Factor of 5223,4691

To find the highest common factor of 5223,4691, we have to find the factors of both numbers and list the highest common factor.

The factors of 5223 are 1, 3, 1741, 5223

The factors of 4691 are 1, 4691

The HCF of 5223,4691 is 1.

Lets's calculate GCF of 5223,4691

Greatest Common Factor (GCF) of 5223,4691 By Common Division

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

Greatest Common Factor of 5223,4691 By Matching Biggest Common Factor Method

Greatest Common Factor of 5223,4691 By Matching Biggest Common Factor Method

Now, list down the factors of 5223

:

1,3,1741,5223

Now, list down the factors of 4691

:

1,4691

Greatest Common Factor

We found the factors 5223,4691 . The biggest common factor number is the GCF number.
So the greatest common factor 5223,4691 is 1.

Lets's calculate LCM of 291,570

Lowest Common Multiple of 291,570 using Common Division

3 291, 570
97, 190

∴ So the LCM of the given numbers is 3 x 97 x 190 = 55290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55290

Therefore, the GCF of Fractions 5223/291,4691/570 is 1/55290

Least Common Multiple of 291,570 with GCF Formula

Least Common Multiple of 291,570 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 291,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,570) = 3

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

GCF(291,570) x common factors =3 x 1 = 3

LCM(291,570) = ( 291 × 570 ) / 3

LCM(291,570) = 165870 / 3

LCM(291,570) = 55290


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FAQs on GCF of Fractions of 5223/291, 4691/570

1. What is the HCF of 5223,4691?

The HCF of 5223,4691 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 5223/291, 4691/570?

Answer: GCF of Numerators as per given numbers 5223/291, 4691/570 is

GCF of Numerators i.e. for 5223,4691 is 1

LCM of denominators i.e. for 291,570 is 55290.

Thus, GCF of Fractions is 1/55290.Finally, GCF of Fractions for 5223/291, 4691/570 is 1/55290.