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GCF of 794/42, 654/365

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 794/42, 654/365 i.e 2/15330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 794/42, 654/365.

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 794/42,654/365?

Given fractions are 794/42,654/365

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 794/42,654/365, numerators are 794,654

Denominators are 42,365

The GCF of 794,654 is 2 .

LCM of 42,365 is 15330.

The greatest common factor of 794/42,654/365 = [GCF of 794,654]/[LCM of 42,365]= 2/15330

Therefore, the GCF of 794/42,654/365 is 2/15330.

Greatest Common Factor of 794,654

To find the highest common factor of 794,654, we have to find the factors of both numbers and list the highest common factor.

The factors of 794 are 1, 2, 397, 794

The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654

The HCF of 794,654 is 2.

Lets's calculate GCF of 794,654

Greatest Common Factor (GCF) of 794,654 By Common Division

2 794, 654
397, 327

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

Greatest Common Factor of 794,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,654 By Matching Biggest Common Factor Method

Now, list down the factors of 794

:

1,2,397,794

Now, list down the factors of 654

:

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 794,654 . The biggest common factor number is the GCF number.
So the greatest common factor 794,654 is 2.

Lets's calculate LCM of 42,365

Lowest Common Multiple of 42,365 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 15330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15330

Therefore, the GCF of Fractions 794/42,654/365 is 2/15330

Least Common Multiple of 42,365 with GCF Formula

Least Common Multiple of 42,365 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 42,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,365) = 1

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

GCF(42,365) x common factors =1 x 1 = 1

LCM(42,365) = ( 42 × 365 ) / 1

LCM(42,365) = 15330 / 1

LCM(42,365) = 15330


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FAQs on GCF of Fractions of 794/42, 654/365

1. What is the HCF of 794,654?

The HCF of 794,654 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 794/42, 654/365?

Answer: GCF of Numerators as per given numbers 794/42, 654/365 is

GCF of Numerators i.e. for 794,654 is 2

LCM of denominators i.e. for 42,365 is 15330.

Thus, GCF of Fractions is 2/15330.Finally, GCF of Fractions for 794/42, 654/365 is 2/15330.