Greatest Common Factor of 3212/25, 8841/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3212/25, 8841/382

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 3212/25,8841/382

Given fractions are 3212/25,8841/382

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 3212,8841

Greatest Common Factor of Numerators i.e. GCF of 3212,8841 is 1 .

LCM of Denominators means LCM of 25,382 as per the given fractions.

LCM of 25,382 is 9550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3212,8841

GCF of Fractions 3212/25,8841/382 is 1/9550

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

Greatest Common Factor of 3212,8841 By Matching Biggest Common Factor Method

Greatest Common Factor of 3212,8841 By Matching Biggest Common Factor Method

Factors of 3212

List of positive integer factors of 3212 that divides 3212 without a remainder.

1,2,4,11,22,44,73,146,292,803,1606,3212

Factors of 8841

List of positive integer factors of 8841 that divides 8841 without a remainder.

1,3,7,21,421,1263,2947,8841

Greatest Common Factor

We found the factors 3212,8841 . The biggest common factor number is the GCF number.
So the greatest common factor 3212,8841 is 1.

Lets's calculate LCM of 25,382

Given numbers has no common factors except 1. So, there LCM is their product i.e 9550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9550

Therefore, the GCF of Fractions 3212/25,8841/382 is 1/9550

Least Common Multiple of 25,382 with GCF Formula

Least Common Multiple of 25,382 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 25,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,382) = 1

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

GCF(25,382) x common factors =1 x 1 = 1

LCM(25,382) = ( 25 × 382 ) / 1

LCM(25,382) = 9550 / 1

LCM(25,382) = 9550


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 3212/25, 8841/382

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 3212/25, 8841/382?

Answer: GCF of Numerators as per given numbers 3212/25, 8841/382 is

GCF of Numerators i.e. for 3212,8841 is 1

LCM of denominators i.e. for 25,382 is 9550.

Thus, GCF of Fractions is 1/9550.Finally, GCF of Fractions for 3212/25, 8841/382 is 1/9550.