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GCF of 82/435, 75/387, 174/641

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 82/435, 75/387, 174/641 i.e 1/35969715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/435, 75/387, 174/641.

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 82/435,75/387,174/641?

Given fractions are 82/435,75/387,174/641

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 82/435,75/387,174/641, numerators are 82,75,174

Denominators are 435,387,641

The GCF of 82,75,174 is 1 .

LCM of 435,387,641 is 35969715.

The greatest common factor of 82/435,75/387,174/641 = [GCF of 82,75,174]/[LCM of 435,387,641]= 1/35969715

Therefore, the GCF of 82/435,75/387,174/641 is 1/35969715.

Greatest Common Factor of 82,75,174

To find the highest common factor of 82,75,174, we have to find the factors of both numbers and list the highest common factor.

The factors of 82 are 1, 2, 41, 82

The factors of 75 are 1, 3, 5, 15, 25, 75

The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174

The HCF of 82,75,174 is 1.

Lets's calculate GCF of 82,75,174

Greatest Common Factor (GCF) of 82,75,174 By Common Division

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

Greatest Common Factor of 82,75,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,75,174 By Matching Biggest Common Factor Method

Now, list down the factors of 82

:

1,2,41,82

Now, list down the factors of 75

:

1,3,5,15,25,75

Now, list down the factors of 174

:

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 82,75,174 . The biggest common factor number is the GCF number.
So the greatest common factor 82,75,174 is 1.


Lets's calculate LCM of 435,387,641

Lowest Common Multiple of 435,387,641 using Common Division

3 435, 387, 641
145, 129, 641

∴ So the LCM of the given numbers is 3 x 145 x 129 x 641 = 35969715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35969715

Therefore, the GCF of Fractions 82/435,75/387,174/641 is 1/35969715

Least Common Multiple of 435,387,641 with GCF Formula

Least Common Multiple of 435,387,641 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 435,387,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,387,641) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(435,387,641) x common factors =1 x 3 = 3

LCM(435,387,641) = ( 435 × 387 × 641 ) / 3

LCM(435,387,641) = 107909145 / 3

LCM(435,387,641) = 35969715


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 82/435, 75/387, 174/641

1. What is the HCF of 82,75,174?

The HCF of 82,75,174 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 82/435, 75/387, 174/641?

Answer: GCF of Numerators as per given numbers 82/435, 75/387, 174/641 is

GCF of Numerators i.e. for 82,75,174 is 1

LCM of denominators i.e. for 435,387,641 is 35969715.

Thus, GCF of Fractions is 1/35969715.Finally, GCF of Fractions for 82/435, 75/387, 174/641 is 1/35969715.