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GCF of 52/82, 376/29, 538/174

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 52/82, 376/29, 538/174 i.e 2/7134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/82, 376/29, 538/174.

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 52/82,376/29,538/174?

Given fractions are 52/82,376/29,538/174

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 52/82,376/29,538/174, numerators are 52,376,538

Denominators are 82,29,174

The GCF of 52,376,538 is 2 .

LCM of 82,29,174 is 7134.

The greatest common factor of 52/82,376/29,538/174 = [GCF of 52,376,538]/[LCM of 82,29,174]= 2/7134

Therefore, the GCF of 52/82,376/29,538/174 is 2/7134.

Greatest Common Factor of 52,376,538

To find the highest common factor of 52,376,538, we have to find the factors of both numbers and list the highest common factor.

The factors of 52 are 1, 2, 4, 13, 26, 52

The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376

The factors of 538 are 1, 2, 269, 538

The HCF of 52,376,538 is 2.

Lets's calculate GCF of 52,376,538

Greatest Common Factor (GCF) of 52,376,538 By Common Division

2 52, 376, 538
26, 188, 269

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 52,376,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,376,538 By Matching Biggest Common Factor Method

Now, list down the factors of 52

:

1,2,4,13,26,52

Now, list down the factors of 376

:

1,2,4,8,47,94,188,376

Now, list down the factors of 538

:

1,2,269,538

Greatest Common Factor

We found the factors 52,376,538 . The biggest common factor number is the GCF number.
So the greatest common factor 52,376,538 is 2.


Lets's calculate LCM of 82,29,174

Lowest Common Multiple of 82,29,174 using Common Division

2 82, 29, 174
29 41, 29, 87
41, 1, 3

∴ So the LCM of the given numbers is 2 x 29 x 41 x 1 x 3 = 7134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7134

Therefore, the GCF of Fractions 52/82,376/29,538/174 is 2/7134

Least Common Multiple of 82,29,174 with GCF Formula

Least Common Multiple of 82,29,174 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 82,29,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,29,174) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(82,29,174) x common factors =1 x 58 = 58

LCM(82,29,174) = ( 82 × 29 × 174 ) / 58

LCM(82,29,174) = 413772 / 58

LCM(82,29,174) = 7134


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 52/82, 376/29, 538/174

1. What is the HCF of 52,376,538?

The HCF of 52,376,538 is 2

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 52/82, 376/29, 538/174?

Answer: GCF of Numerators as per given numbers 52/82, 376/29, 538/174 is

GCF of Numerators i.e. for 52,376,538 is 2

LCM of denominators i.e. for 82,29,174 is 7134.

Thus, GCF of Fractions is 2/7134.Finally, GCF of Fractions for 52/82, 376/29, 538/174 is 2/7134.