Greatest Common Factor of 929/705, 7260/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 929/705, 7260/245

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 929/705,7260/245

Given fractions are 929/705,7260/245

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 929,7260

Greatest Common Factor of Numerators i.e. GCF of 929,7260 is 1 .

LCM of Denominators means LCM of 705,245 as per the given fractions.

LCM of 705,245 is 34545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 929,7260

GCF of Fractions 929/705,7260/245 is 1/34545

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 929,7260 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,7260 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260

Greatest Common Factor

We found the factors 929,7260 . The biggest common factor number is the GCF number.
So the greatest common factor 929,7260 is 1.

Lets's calculate LCM of 705,245

5 705, 245
141, 49

∴ So the LCM of the given numbers is 5 x 141 x 49 = 34545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34545

Therefore, the GCF of Fractions 929/705,7260/245 is 1/34545

Least Common Multiple of 705,245 with GCF Formula

Least Common Multiple of 705,245 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 705,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,245) = 5

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

GCF(705,245) x common factors =5 x 1 = 5

LCM(705,245) = ( 705 × 245 ) / 5

LCM(705,245) = 172725 / 5

LCM(705,245) = 34545


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 929/705, 7260/245

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 929/705, 7260/245?

Answer: GCF of Numerators as per given numbers 929/705, 7260/245 is

GCF of Numerators i.e. for 929,7260 is 1

LCM of denominators i.e. for 705,245 is 34545.

Thus, GCF of Fractions is 1/34545.Finally, GCF of Fractions for 929/705, 7260/245 is 1/34545.