Greatest Common Factor of 7463/825, 8411/3705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7463/825, 8411/3705

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 7463/825,8411/3705

Given fractions are 7463/825,8411/3705

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7463,8411

Greatest Common Factor of Numerators i.e. GCF of 7463,8411 is 1 .

LCM of Denominators means LCM of 825,3705 as per the given fractions.

LCM of 825,3705 is 203775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7463,8411

GCF of Fractions 7463/825,8411/3705 is 1/203775

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

Greatest Common Factor of 7463,8411 By Matching Biggest Common Factor Method

Greatest Common Factor of 7463,8411 By Matching Biggest Common Factor Method

Factors of 7463

List of positive integer factors of 7463 that divides 7463 without a remainder.

1,17,439,7463

Factors of 8411

List of positive integer factors of 8411 that divides 8411 without a remainder.

1,13,647,8411

Greatest Common Factor

We found the factors 7463,8411 . The biggest common factor number is the GCF number.
So the greatest common factor 7463,8411 is 1.

Lets's calculate LCM of 825,3705

3 825, 3705
5 275, 1235
55, 247

∴ So the LCM of the given numbers is 3 x 5 x 55 x 247 = 203775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203775

Therefore, the GCF of Fractions 7463/825,8411/3705 is 1/203775

Least Common Multiple of 825,3705 with GCF Formula

Least Common Multiple of 825,3705 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 825,3705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,3705) = 15

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

GCF(825,3705) x common factors =15 x 1 = 15

LCM(825,3705) = ( 825 × 3705 ) / 15

LCM(825,3705) = 3056625 / 15

LCM(825,3705) = 203775


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7463/825, 8411/3705

1. 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.

2. What is the GCF of Fractions for 7463/825, 8411/3705?

Answer: GCF of Numerators as per given numbers 7463/825, 8411/3705 is

GCF of Numerators i.e. for 7463,8411 is 1

LCM of denominators i.e. for 825,3705 is 203775.

Thus, GCF of Fractions is 1/203775.Finally, GCF of Fractions for 7463/825, 8411/3705 is 1/203775.