Greatest Common Factor of 841/24, 975/3697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 841/24, 975/3697

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 841/24,975/3697

Given fractions are 841/24,975/3697

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 841,975

Greatest Common Factor of Numerators i.e. GCF of 841,975 is 1 .

LCM of Denominators means LCM of 24,3697 as per the given fractions.

LCM of 24,3697 is 88728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 841,975

GCF of Fractions 841/24,975/3697 is 1/88728

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

Greatest Common Factor of 841,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,975 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 841,975 . The biggest common factor number is the GCF number.
So the greatest common factor 841,975 is 1.

Lets's calculate LCM of 24,3697

Given numbers has no common factors except 1. So, there LCM is their product i.e 88728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88728

Therefore, the GCF of Fractions 841/24,975/3697 is 1/88728

Least Common Multiple of 24,3697 with GCF Formula

Least Common Multiple of 24,3697 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 24,3697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,3697) = 1

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

GCF(24,3697) x common factors =1 x 1 = 1

LCM(24,3697) = ( 24 × 3697 ) / 1

LCM(24,3697) = 88728 / 1

LCM(24,3697) = 88728


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 841/24, 975/3697

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 841/24, 975/3697?

Answer: GCF of Numerators as per given numbers 841/24, 975/3697 is

GCF of Numerators i.e. for 841,975 is 1

LCM of denominators i.e. for 24,3697 is 88728.

Thus, GCF of Fractions is 1/88728.Finally, GCF of Fractions for 841/24, 975/3697 is 1/88728.