Greatest Common Factor of 62/38, 728/76, 826/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/38, 728/76, 826/994

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 62/38,728/76,826/994

Given fractions are 62/38,728/76,826/994

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 62,728,826

Greatest Common Factor of Numerators i.e. GCF of 62,728,826 is 2 .

LCM of Denominators means LCM of 38,76,994 as per the given fractions.

LCM of 38,76,994 is 37772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,728,826

GCF of Fractions 62/38,728/76,826/994 is 2/37772

2 62, 728, 826
31, 364, 413

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 62,728,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,728,826 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 826

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

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

Greatest Common Factor

We found the factors 62,728,826 . The biggest common factor number is the GCF number.
So the greatest common factor 62,728,826 is 2.

Lets's calculate LCM of 38,76,994

2 38, 76, 994
19 19, 38, 497
1, 2, 497

∴ So the LCM of the given numbers is 2 x 19 x 1 x 2 x 497 = 37772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37772

Therefore, the GCF of Fractions 62/38,728/76,826/994 is 2/37772

Least Common Multiple of 38,76,994 with GCF Formula

Least Common Multiple of 38,76,994 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 38,76,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,76,994) = 2

common factors(in case of two or more numbers have common factors) = 38

GCF(38,76,994) x common factors =2 x 38 = 76

LCM(38,76,994) = ( 38 × 76 × 994 ) / 76

LCM(38,76,994) = 2870672 / 76

LCM(38,76,994) = 37772


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 62/38, 728/76, 826/994

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 62/38, 728/76, 826/994?

Answer: GCF of Numerators as per given numbers 62/38, 728/76, 826/994 is

GCF of Numerators i.e. for 62,728,826 is 2

LCM of denominators i.e. for 38,76,994 is 37772.

Thus, GCF of Fractions is 2/37772.Finally, GCF of Fractions for 62/38, 728/76, 826/994 is 2/37772.