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GCF of 771/359, 204/849

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 771/359, 204/849 i.e 3/304791 easily. The following is the detailed procedure to determine the greatest common factor of fractions 771/359, 204/849.

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 771/359,204/849?

Given fractions are 771/359,204/849

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 771/359,204/849, numerators are 771,204

Denominators are 359,849

The GCF of 771,204 is 3 .

LCM of 359,849 is 304791.

The greatest common factor of 771/359,204/849 = [GCF of 771,204]/[LCM of 359,849]= 3/304791

Therefore, the GCF of 771/359,204/849 is 3/304791.

Greatest Common Factor of 771,204

To find the highest common factor of 771,204, we have to find the factors of both numbers and list the highest common factor.

The factors of 771 are 1, 3, 257, 771

The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The HCF of 771,204 is 3.

Lets's calculate GCF of 771,204

Greatest Common Factor (GCF) of 771,204 By Common Division

3 771, 204
257, 68

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 771,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,204 By Matching Biggest Common Factor Method

Now, list down the factors of 771

:

1,3,257,771

Now, list down the factors of 204

:

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 771,204 . The biggest common factor number is the GCF number.
So the greatest common factor 771,204 is 3.

Lets's calculate LCM of 359,849

Lowest Common Multiple of 359,849 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 304791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/304791

Therefore, the GCF of Fractions 771/359,204/849 is 3/304791

Least Common Multiple of 359,849 with GCF Formula

Least Common Multiple of 359,849 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 359,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,849) = 1

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

GCF(359,849) x common factors =1 x 1 = 1

LCM(359,849) = ( 359 × 849 ) / 1

LCM(359,849) = 304791 / 1

LCM(359,849) = 304791


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FAQs on GCF of Fractions of 771/359, 204/849

1. What is the HCF of 771,204?

The HCF of 771,204 is 3

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 771/359, 204/849?

Answer: GCF of Numerators as per given numbers 771/359, 204/849 is

GCF of Numerators i.e. for 771,204 is 3

LCM of denominators i.e. for 359,849 is 304791.

Thus, GCF of Fractions is 3/304791.Finally, GCF of Fractions for 771/359, 204/849 is 3/304791.