Greatest Common Factor of 3926/705, 9122/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3926/705, 9122/588

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 3926/705,9122/588

Given fractions are 3926/705,9122/588

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 3926,9122

Greatest Common Factor of Numerators i.e. GCF of 3926,9122 is 2 .

LCM of Denominators means LCM of 705,588 as per the given fractions.

LCM of 705,588 is 138180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3926,9122

GCF of Fractions 3926/705,9122/588 is 2/138180

2 3926, 9122
1963, 4561

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

Greatest Common Factor of 3926,9122 By Matching Biggest Common Factor Method

Greatest Common Factor of 3926,9122 By Matching Biggest Common Factor Method

Factors of 3926

List of positive integer factors of 3926 that divides 3926 without a remainder.

1,2,13,26,151,302,1963,3926

Factors of 9122

List of positive integer factors of 9122 that divides 9122 without a remainder.

1,2,4561,9122

Greatest Common Factor

We found the factors 3926,9122 . The biggest common factor number is the GCF number.
So the greatest common factor 3926,9122 is 2.

Lets's calculate LCM of 705,588

3 705, 588
235, 196

∴ So the LCM of the given numbers is 3 x 235 x 196 = 138180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138180

Therefore, the GCF of Fractions 3926/705,9122/588 is 2/138180

Least Common Multiple of 705,588 with GCF Formula

Least Common Multiple of 705,588 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 705,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,588) = 3

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

GCF(705,588) x common factors =3 x 1 = 3

LCM(705,588) = ( 705 × 588 ) / 3

LCM(705,588) = 414540 / 3

LCM(705,588) = 138180


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 3926/705, 9122/588

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 3926/705, 9122/588?

Answer: GCF of Numerators as per given numbers 3926/705, 9122/588 is

GCF of Numerators i.e. for 3926,9122 is 2

LCM of denominators i.e. for 705,588 is 138180.

Thus, GCF of Fractions is 2/138180.Finally, GCF of Fractions for 3926/705, 9122/588 is 2/138180.