How to Find GCF of 539/528, 173/308?

GCF of 539/528, 173/308

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 539/528, 173/308 i.e 1/3696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 539/528, 173/308.

Enter two or more fractions separated by "commas"

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

What is the GCF of 539/528,173/308?

Given fractions are 539/528,173/308

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 539/528,173/308, numerators are 539,173

Denominators are 528,308

The GCF of 539,173 is 1 .

LCM of 528,308 is 3696.

The greatest common factor of 539/528,173/308 = [GCF of 539,173]/[LCM of 528,308]= 1/3696

Therefore, the GCF of 539/528,173/308 is 1/3696.

Greatest Common Factor of 539,173

To find the highest common factor of 539,173, we have to find the factors of both numbers and list the highest common factor.

The factors of 539 are 1, 7, 11, 49, 77, 539

The factors of 173 are 1, 173

The HCF of 539,173 is 1.

Lets's calculate GCF of 539,173

Greatest Common Factor (GCF) of 539,173 By Common Division

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

Greatest Common Factor of 539,173 By Matching Biggest Common Factor Method

Now, list down the factors of 539

1,7,11,49,77,539

Now, list down the factors of 173

1,173

Greatest Common Factor

We found the factors 539,173 . The biggest common factor number is the GCF number.
So the greatest common factor 539,173 is 1.

Lets's calculate LCM of 528,308

Lowest Common Multiple of 528,308 using Common Division

2	528, 308
2	264, 154
11	132, 77
	12, 7

∴ So the LCM of the given numbers is 2 x 2 x 11 x 12 x 7 = 3696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3696

Therefore, the GCF of Fractions 539/528,173/308 is 1/3696

Least Common Multiple of 528,308 with GCF Formula

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

We need to calculate greatest common factor of 528,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,308) = 44

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

GCF(528,308) x common factors =44 x 1 = 44

LCM(528,308) = ( 528 × 308 ) / 44

LCM(528,308) = 162624 / 44

LCM(528,308) = 3696

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FAQs on GCF of Fractions of 539/528, 173/308

1. What is the HCF of 539,173?

The HCF of 539,173 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 539/528, 173/308?

Answer: GCF of Numerators as per given numbers 539/528, 173/308 is

GCF of Numerators i.e. for 539,173 is 1

LCM of denominators i.e. for 528,308 is 3696.

Thus, GCF of Fractions is 1/3696.Finally, GCF of Fractions for 539/528, 173/308 is 1/3696.