Greatest Common Factor of 348/596, 307/897, 981/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/596, 307/897, 981/826

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 348/596,307/897,981/826

Given fractions are 348/596,307/897,981/826

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 348,307,981

Greatest Common Factor of Numerators i.e. GCF of 348,307,981 is 1 .

LCM of Denominators means LCM of 596,897,826 as per the given fractions.

LCM of 596,897,826 is 220794756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,307,981

GCF of Fractions 348/596,307/897,981/826 is 1/220794756

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

Greatest Common Factor of 348,307,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,307,981 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 348,307,981 . The biggest common factor number is the GCF number.
So the greatest common factor 348,307,981 is 1.

Lets's calculate LCM of 596,897,826

2 596, 897, 826
298, 897, 413

∴ So the LCM of the given numbers is 2 x 298 x 897 x 413 = 220794756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220794756

Therefore, the GCF of Fractions 348/596,307/897,981/826 is 1/220794756

Least Common Multiple of 596,897,826 with GCF Formula

Least Common Multiple of 596,897,826 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 596,897,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,897,826) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(596,897,826) x common factors =1 x 2 = 2

LCM(596,897,826) = ( 596 × 897 × 826 ) / 2

LCM(596,897,826) = 441589512 / 2

LCM(596,897,826) = 220794756


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 348/596, 307/897, 981/826

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 348/596, 307/897, 981/826?

Answer: GCF of Numerators as per given numbers 348/596, 307/897, 981/826 is

GCF of Numerators i.e. for 348,307,981 is 1

LCM of denominators i.e. for 596,897,826 is 220794756.

Thus, GCF of Fractions is 1/220794756.Finally, GCF of Fractions for 348/596, 307/897, 981/826 is 1/220794756.