LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 3461/265, 3963/184

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 3461/265, 3963/184 i.e 1/48760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3461/265, 3963/184.

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 3461/265,3963/184?

Given fractions are 3461/265,3963/184

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 3461/265,3963/184, numerators are 3461,3963

Denominators are 265,184

The GCF of 3461,3963 is 1 .

LCM of 265,184 is 48760.

The greatest common factor of 3461/265,3963/184 = [GCF of 3461,3963]/[LCM of 265,184]= 1/48760

Therefore, the GCF of 3461/265,3963/184 is 1/48760.

Greatest Common Factor of 3461,3963

To find the highest common factor of 3461,3963, we have to find the factors of both numbers and list the highest common factor.

The factors of 3461 are 1, 3461

The factors of 3963 are 1, 3, 1321, 3963

The HCF of 3461,3963 is 1.

Lets's calculate GCF of 3461,3963

Greatest Common Factor (GCF) of 3461,3963 By Common Division

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

Greatest Common Factor of 3461,3963 By Matching Biggest Common Factor Method

Greatest Common Factor of 3461,3963 By Matching Biggest Common Factor Method

Now, list down the factors of 3461

:

1,3461

Now, list down the factors of 3963

:

1,3,1321,3963

Greatest Common Factor

We found the factors 3461,3963 . The biggest common factor number is the GCF number.
So the greatest common factor 3461,3963 is 1.

Lets's calculate LCM of 265,184

Lowest Common Multiple of 265,184 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 48760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48760

Therefore, the GCF of Fractions 3461/265,3963/184 is 1/48760

Least Common Multiple of 265,184 with GCF Formula

Least Common Multiple of 265,184 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 265,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,184) = 1

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

GCF(265,184) x common factors =1 x 1 = 1

LCM(265,184) = ( 265 × 184 ) / 1

LCM(265,184) = 48760 / 1

LCM(265,184) = 48760


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3461/265, 3963/184

1. What is the HCF of 3461,3963?

The HCF of 3461,3963 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 3461/265, 3963/184?

Answer: GCF of Numerators as per given numbers 3461/265, 3963/184 is

GCF of Numerators i.e. for 3461,3963 is 1

LCM of denominators i.e. for 265,184 is 48760.

Thus, GCF of Fractions is 1/48760.Finally, GCF of Fractions for 3461/265, 3963/184 is 1/48760.