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GCF of 794/479, 604/401

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 794/479, 604/401 i.e 2/192079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 794/479, 604/401.

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 794/479,604/401?

Given fractions are 794/479,604/401

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 794/479,604/401, numerators are 794,604

Denominators are 479,401

The GCF of 794,604 is 2 .

LCM of 479,401 is 192079.

The greatest common factor of 794/479,604/401 = [GCF of 794,604]/[LCM of 479,401]= 2/192079

Therefore, the GCF of 794/479,604/401 is 2/192079.

Greatest Common Factor of 794,604

To find the highest common factor of 794,604, 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 604 are 1, 2, 4, 151, 302, 604

The HCF of 794,604 is 2.

Lets's calculate GCF of 794,604

Greatest Common Factor (GCF) of 794,604 By Common Division

2 794, 604
397, 302

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

Greatest Common Factor of 794,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,604 By Matching Biggest Common Factor Method

Now, list down the factors of 794

:

1,2,397,794

Now, list down the factors of 604

:

1,2,4,151,302,604

Greatest Common Factor

We found the factors 794,604 . The biggest common factor number is the GCF number.
So the greatest common factor 794,604 is 2.

Lets's calculate LCM of 479,401

Lowest Common Multiple of 479,401 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 192079

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192079

Therefore, the GCF of Fractions 794/479,604/401 is 2/192079

Least Common Multiple of 479,401 with GCF Formula

Least Common Multiple of 479,401 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 479,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,401) = 1

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

GCF(479,401) x common factors =1 x 1 = 1

LCM(479,401) = ( 479 × 401 ) / 1

LCM(479,401) = 192079 / 1

LCM(479,401) = 192079


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FAQs on GCF of Fractions of 794/479, 604/401

1. What is the HCF of 794,604?

The HCF of 794,604 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 794/479, 604/401?

Answer: GCF of Numerators as per given numbers 794/479, 604/401 is

GCF of Numerators i.e. for 794,604 is 2

LCM of denominators i.e. for 479,401 is 192079.

Thus, GCF of Fractions is 2/192079.Finally, GCF of Fractions for 794/479, 604/401 is 2/192079.