Greatest Common Factor of 58/48, 82/46, 776/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/48, 82/46, 776/692

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 58/48,82/46,776/692

Given fractions are 58/48,82/46,776/692

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 58,82,776

Greatest Common Factor of Numerators i.e. GCF of 58,82,776 is 2 .

LCM of Denominators means LCM of 48,46,692 as per the given fractions.

LCM of 48,46,692 is 190992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,82,776

GCF of Fractions 58/48,82/46,776/692 is 2/190992

2 58, 82, 776
29, 41, 388

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

Greatest Common Factor of 58,82,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,82,776 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 58,82,776 . The biggest common factor number is the GCF number.
So the greatest common factor 58,82,776 is 2.

Lets's calculate LCM of 48,46,692

2 48, 46, 692
2 24, 23, 346
12, 23, 173

∴ So the LCM of the given numbers is 2 x 2 x 12 x 23 x 173 = 190992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/190992

Therefore, the GCF of Fractions 58/48,82/46,776/692 is 2/190992

Least Common Multiple of 48,46,692 with GCF Formula

Least Common Multiple of 48,46,692 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 48,46,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,46,692) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(48,46,692) x common factors =2 x 4 = 8

LCM(48,46,692) = ( 48 × 46 × 692 ) / 8

LCM(48,46,692) = 1527936 / 8

LCM(48,46,692) = 190992


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 58/48, 82/46, 776/692

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 58/48, 82/46, 776/692?

Answer: GCF of Numerators as per given numbers 58/48, 82/46, 776/692 is

GCF of Numerators i.e. for 58,82,776 is 2

LCM of denominators i.e. for 48,46,692 is 190992.

Thus, GCF of Fractions is 2/190992.Finally, GCF of Fractions for 58/48, 82/46, 776/692 is 2/190992.