Greatest Common Factor of 929/88, 426/35, 730/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 929/88, 426/35, 730/746

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 929/88,426/35,730/746

Given fractions are 929/88,426/35,730/746

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 929,426,730

Greatest Common Factor of Numerators i.e. GCF of 929,426,730 is 1 .

LCM of Denominators means LCM of 88,35,746 as per the given fractions.

LCM of 88,35,746 is 1148840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 929,426,730

GCF of Fractions 929/88,426/35,730/746 is 1/1148840

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

Greatest Common Factor of 929,426,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,426,730 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 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 929,426,730 . The biggest common factor number is the GCF number.
So the greatest common factor 929,426,730 is 1.

Lets's calculate LCM of 88,35,746

2 88, 35, 746
44, 35, 373

∴ So the LCM of the given numbers is 2 x 44 x 35 x 373 = 1148840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1148840

Therefore, the GCF of Fractions 929/88,426/35,730/746 is 1/1148840

Least Common Multiple of 88,35,746 with GCF Formula

Least Common Multiple of 88,35,746 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 88,35,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,35,746) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(88,35,746) x common factors =1 x 2 = 2

LCM(88,35,746) = ( 88 × 35 × 746 ) / 2

LCM(88,35,746) = 2297680 / 2

LCM(88,35,746) = 1148840


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 929/88, 426/35, 730/746

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 929/88, 426/35, 730/746?

Answer: GCF of Numerators as per given numbers 929/88, 426/35, 730/746 is

GCF of Numerators i.e. for 929,426,730 is 1

LCM of denominators i.e. for 88,35,746 is 1148840.

Thus, GCF of Fractions is 1/1148840.Finally, GCF of Fractions for 929/88, 426/35, 730/746 is 1/1148840.