Greatest Common Factor of 792/82, 284/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 792/82, 284/690

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 792/82,284/690

Given fractions are 792/82,284/690

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 792,284

Greatest Common Factor of Numerators i.e. GCF of 792,284 is 4 .

LCM of Denominators means LCM of 82,690 as per the given fractions.

LCM of 82,690 is 28290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 792,284

GCF of Fractions 792/82,284/690 is 4/28290

2 792, 284
2 396, 142
198, 71

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 792,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,284 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 792,284 . The biggest common factor number is the GCF number.
So the greatest common factor 792,284 is 4.

Lets's calculate LCM of 82,690

2 82, 690
41, 345

∴ So the LCM of the given numbers is 2 x 41 x 345 = 28290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/28290

Therefore, the GCF of Fractions 792/82,284/690 is 4/28290

Least Common Multiple of 82,690 with GCF Formula

Least Common Multiple of 82,690 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 82,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,690) = 2

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

GCF(82,690) x common factors =2 x 1 = 2

LCM(82,690) = ( 82 × 690 ) / 2

LCM(82,690) = 56580 / 2

LCM(82,690) = 28290


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 792/82, 284/690

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 792/82, 284/690?

Answer: GCF of Numerators as per given numbers 792/82, 284/690 is

GCF of Numerators i.e. for 792,284 is 4

LCM of denominators i.e. for 82,690 is 28290.

Thus, GCF of Fractions is 4/28290.Finally, GCF of Fractions for 792/82, 284/690 is 4/28290.