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GCF of 5197/752, 2234/464

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 5197/752, 2234/464 i.e 1/21808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5197/752, 2234/464.

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 5197/752,2234/464?

Given fractions are 5197/752,2234/464

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 5197/752,2234/464, numerators are 5197,2234

Denominators are 752,464

The GCF of 5197,2234 is 1 .

LCM of 752,464 is 21808.

The greatest common factor of 5197/752,2234/464 = [GCF of 5197,2234]/[LCM of 752,464]= 1/21808

Therefore, the GCF of 5197/752,2234/464 is 1/21808.

Greatest Common Factor of 5197,2234

To find the highest common factor of 5197,2234, we have to find the factors of both numbers and list the highest common factor.

The factors of 5197 are 1, 5197

The factors of 2234 are 1, 2, 1117, 2234

The HCF of 5197,2234 is 1.

Lets's calculate GCF of 5197,2234

Greatest Common Factor (GCF) of 5197,2234 By Common Division

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

Greatest Common Factor of 5197,2234 By Matching Biggest Common Factor Method

Greatest Common Factor of 5197,2234 By Matching Biggest Common Factor Method

Now, list down the factors of 5197

:

1,5197

Now, list down the factors of 2234

:

1,2,1117,2234

Greatest Common Factor

We found the factors 5197,2234 . The biggest common factor number is the GCF number.
So the greatest common factor 5197,2234 is 1.

Lets's calculate LCM of 752,464

Lowest Common Multiple of 752,464 using Common Division

2 752, 464
2 376, 232
2 188, 116
2 94, 58
47, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 47 x 29 = 21808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21808

Therefore, the GCF of Fractions 5197/752,2234/464 is 1/21808

Least Common Multiple of 752,464 with GCF Formula

Least Common Multiple of 752,464 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 752,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,464) = 16

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

GCF(752,464) x common factors =16 x 1 = 16

LCM(752,464) = ( 752 × 464 ) / 16

LCM(752,464) = 348928 / 16

LCM(752,464) = 21808


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FAQs on GCF of Fractions of 5197/752, 2234/464

1. What is the HCF of 5197,2234?

The HCF of 5197,2234 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 5197/752, 2234/464?

Answer: GCF of Numerators as per given numbers 5197/752, 2234/464 is

GCF of Numerators i.e. for 5197,2234 is 1

LCM of denominators i.e. for 752,464 is 21808.

Thus, GCF of Fractions is 1/21808.Finally, GCF of Fractions for 5197/752, 2234/464 is 1/21808.