Greatest Common Factor of 92/21, 782/58, 286/55

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/21, 782/58, 286/55

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 92/21,782/58,286/55

Given fractions are 92/21,782/58,286/55

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 92,782,286

Greatest Common Factor of Numerators i.e. GCF of 92,782,286 is 2 .

LCM of Denominators means LCM of 21,58,55 as per the given fractions.

LCM of 21,58,55 is 66990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,782,286

GCF of Fractions 92/21,782/58,286/55 is 2/66990

2 92, 782, 286
46, 391, 143

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

Greatest Common Factor of 92,782,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,782,286 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 92,782,286 . The biggest common factor number is the GCF number.
So the greatest common factor 92,782,286 is 2.

Lets's calculate LCM of 21,58,55

Given numbers has no common factors except 1. So, there LCM is their product i.e 66990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66990

Therefore, the GCF of Fractions 92/21,782/58,286/55 is 2/66990

Least Common Multiple of 21,58,55 with GCF Formula

Least Common Multiple of 21,58,55 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 21,58,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,58,55) = 1

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

GCF(21,58,55) x common factors =1 x 1 = 1

LCM(21,58,55) = ( 21 × 58 × 55 ) / 1

LCM(21,58,55) = 66990 / 1

LCM(21,58,55) = 66990


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 92/21, 782/58, 286/55

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 92/21, 782/58, 286/55?

Answer: GCF of Numerators as per given numbers 92/21, 782/58, 286/55 is

GCF of Numerators i.e. for 92,782,286 is 2

LCM of denominators i.e. for 21,58,55 is 66990.

Thus, GCF of Fractions is 2/66990.Finally, GCF of Fractions for 92/21, 782/58, 286/55 is 2/66990.