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GCF of 54/244, 9017/8528

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 54/244, 9017/8528 i.e 1/520208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/244, 9017/8528.

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 54/244,9017/8528?

Given fractions are 54/244,9017/8528

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 54/244,9017/8528, numerators are 54,9017

Denominators are 244,8528

The GCF of 54,9017 is 1 .

LCM of 244,8528 is 520208.

The greatest common factor of 54/244,9017/8528 = [GCF of 54,9017]/[LCM of 244,8528]= 1/520208

Therefore, the GCF of 54/244,9017/8528 is 1/520208.

Greatest Common Factor of 54,9017

To find the highest common factor of 54,9017, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 9017 are 1, 71, 127, 9017

The HCF of 54,9017 is 1.

Lets's calculate GCF of 54,9017

Greatest Common Factor (GCF) of 54,9017 By Common Division

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

Greatest Common Factor of 54,9017 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,9017 By Matching Biggest Common Factor Method

Now, list down the factors of 54

:

1,2,3,6,9,18,27,54

Now, list down the factors of 9017

:

1,71,127,9017

Greatest Common Factor

We found the factors 54,9017 . The biggest common factor number is the GCF number.
So the greatest common factor 54,9017 is 1.

Lets's calculate LCM of 244,8528

Lowest Common Multiple of 244,8528 using Common Division

2 244, 8528
2 122, 4264
61, 2132

∴ So the LCM of the given numbers is 2 x 2 x 61 x 2132 = 520208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/520208

Therefore, the GCF of Fractions 54/244,9017/8528 is 1/520208

Least Common Multiple of 244,8528 with GCF Formula

Least Common Multiple of 244,8528 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 244,8528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,8528) = 4

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

GCF(244,8528) x common factors =4 x 1 = 4

LCM(244,8528) = ( 244 × 8528 ) / 4

LCM(244,8528) = 2080832 / 4

LCM(244,8528) = 520208


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 54/244, 9017/8528

1. What is the HCF of 54,9017?

The HCF of 54,9017 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 54/244, 9017/8528?

Answer: GCF of Numerators as per given numbers 54/244, 9017/8528 is

GCF of Numerators i.e. for 54,9017 is 1

LCM of denominators i.e. for 244,8528 is 520208.

Thus, GCF of Fractions is 1/520208.Finally, GCF of Fractions for 54/244, 9017/8528 is 1/520208.