Greatest Common Factor of 826/39, 834/52, 723/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/39, 834/52, 723/978

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 826/39,834/52,723/978

Given fractions are 826/39,834/52,723/978

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 826,834,723

Greatest Common Factor of Numerators i.e. GCF of 826,834,723 is 1 .

LCM of Denominators means LCM of 39,52,978 as per the given fractions.

LCM of 39,52,978 is 25428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,834,723

GCF of Fractions 826/39,834/52,723/978 is 1/25428

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

Greatest Common Factor of 826,834,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,834,723 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 826,834,723 . The biggest common factor number is the GCF number.
So the greatest common factor 826,834,723 is 1.

Lets's calculate LCM of 39,52,978

2 39, 52, 978
3 39, 26, 489
13 13, 26, 163
1, 2, 163

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 2 x 163 = 25428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25428

Therefore, the GCF of Fractions 826/39,834/52,723/978 is 1/25428

Least Common Multiple of 39,52,978 with GCF Formula

Least Common Multiple of 39,52,978 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 39,52,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,52,978) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(39,52,978) x common factors =1 x 78 = 78

LCM(39,52,978) = ( 39 × 52 × 978 ) / 78

LCM(39,52,978) = 1983384 / 78

LCM(39,52,978) = 25428


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 826/39, 834/52, 723/978

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 826/39, 834/52, 723/978?

Answer: GCF of Numerators as per given numbers 826/39, 834/52, 723/978 is

GCF of Numerators i.e. for 826,834,723 is 1

LCM of denominators i.e. for 39,52,978 is 25428.

Thus, GCF of Fractions is 1/25428.Finally, GCF of Fractions for 826/39, 834/52, 723/978 is 1/25428.