Greatest Common Factor of 730/61, 308/34, 375/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 730/61, 308/34, 375/883

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 730/61,308/34,375/883

Given fractions are 730/61,308/34,375/883

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 730,308,375

Greatest Common Factor of Numerators i.e. GCF of 730,308,375 is 1 .

LCM of Denominators means LCM of 61,34,883 as per the given fractions.

LCM of 61,34,883 is 1831342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 730,308,375

GCF of Fractions 730/61,308/34,375/883 is 1/1831342

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

Greatest Common Factor of 730,308,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,308,375 By Matching Biggest Common Factor Method

Factors of 730

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

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

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 730,308,375 . The biggest common factor number is the GCF number.
So the greatest common factor 730,308,375 is 1.

Lets's calculate LCM of 61,34,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 1831342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1831342

Therefore, the GCF of Fractions 730/61,308/34,375/883 is 1/1831342

Least Common Multiple of 61,34,883 with GCF Formula

Least Common Multiple of 61,34,883 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 61,34,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,34,883) = 1

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

GCF(61,34,883) x common factors =1 x 1 = 1

LCM(61,34,883) = ( 61 × 34 × 883 ) / 1

LCM(61,34,883) = 1831342 / 1

LCM(61,34,883) = 1831342


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 730/61, 308/34, 375/883

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 730/61, 308/34, 375/883?

Answer: GCF of Numerators as per given numbers 730/61, 308/34, 375/883 is

GCF of Numerators i.e. for 730,308,375 is 1

LCM of denominators i.e. for 61,34,883 is 1831342.

Thus, GCF of Fractions is 1/1831342.Finally, GCF of Fractions for 730/61, 308/34, 375/883 is 1/1831342.