Greatest Common Factor of 703/29, 855/7195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 703/29, 855/7195

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 703/29,855/7195

Given fractions are 703/29,855/7195

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 703,855

Greatest Common Factor of Numerators i.e. GCF of 703,855 is 19 .

LCM of Denominators means LCM of 29,7195 as per the given fractions.

LCM of 29,7195 is 208655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 703,855

GCF of Fractions 703/29,855/7195 is 19/208655

19 703, 855
37, 45

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 703,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,855 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 703,855 . The biggest common factor number is the GCF number.
So the greatest common factor 703,855 is 19.

Lets's calculate LCM of 29,7195

Given numbers has no common factors except 1. So, there LCM is their product i.e 208655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/208655

Therefore, the GCF of Fractions 703/29,855/7195 is 19/208655

Least Common Multiple of 29,7195 with GCF Formula

Least Common Multiple of 29,7195 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 29,7195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,7195) = 1

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

GCF(29,7195) x common factors =1 x 1 = 1

LCM(29,7195) = ( 29 × 7195 ) / 1

LCM(29,7195) = 208655 / 1

LCM(29,7195) = 208655


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 703/29, 855/7195

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 703/29, 855/7195?

Answer: GCF of Numerators as per given numbers 703/29, 855/7195 is

GCF of Numerators i.e. for 703,855 is 19

LCM of denominators i.e. for 29,7195 is 208655.

Thus, GCF of Fractions is 19/208655.Finally, GCF of Fractions for 703/29, 855/7195 is 19/208655.