How to Find GCF of 3991/955, 8463/691?

GCF of 3991/955, 8463/691

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 3991/955, 8463/691 i.e 13/659905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3991/955, 8463/691.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3991/955,8463/691?

Given fractions are 3991/955,8463/691

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 3991/955,8463/691, numerators are 3991,8463

Denominators are 955,691

The GCF of 3991,8463 is 13 .

LCM of 955,691 is 659905.

The greatest common factor of 3991/955,8463/691 = [GCF of 3991,8463]/[LCM of 955,691]= 13/659905

Therefore, the GCF of 3991/955,8463/691 is 13/659905.

Greatest Common Factor of 3991,8463

To find the highest common factor of 3991,8463, we have to find the factors of both numbers and list the highest common factor.

The factors of 3991 are 1, 13, 307, 3991

The factors of 8463 are 1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463

The HCF of 3991,8463 is 13.

Lets's calculate GCF of 3991,8463

Greatest Common Factor (GCF) of 3991,8463 By Common Division

13	3991, 8463
	307, 651

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3991,8463 By Matching Biggest Common Factor Method

Now, list down the factors of 3991

1,13,307,3991

Now, list down the factors of 8463

1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463

Greatest Common Factor

We found the factors 3991,8463 . The biggest common factor number is the GCF number.
So the greatest common factor 3991,8463 is 13.

Lets's calculate LCM of 955,691

Lowest Common Multiple of 955,691 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 659905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/659905

Therefore, the GCF of Fractions 3991/955,8463/691 is 13/659905

Least Common Multiple of 955,691 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 955,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,691) = 1

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

GCF(955,691) x common factors =1 x 1 = 1

LCM(955,691) = ( 955 × 691 ) / 1

LCM(955,691) = 659905 / 1

LCM(955,691) = 659905

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FAQs on GCF of Fractions of 3991/955, 8463/691

1. What is the HCF of 3991,8463?

The HCF of 3991,8463 is 13

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 3991/955, 8463/691?

Answer: GCF of Numerators as per given numbers 3991/955, 8463/691 is

GCF of Numerators i.e. for 3991,8463 is 13

LCM of denominators i.e. for 955,691 is 659905.

Thus, GCF of Fractions is 13/659905.Finally, GCF of Fractions for 3991/955, 8463/691 is 13/659905.