Greatest Common Factor of 7235/95, 7855/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7235/95, 7855/401

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 7235/95,7855/401

Given fractions are 7235/95,7855/401

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 7235,7855

Greatest Common Factor of Numerators i.e. GCF of 7235,7855 is 5 .

LCM of Denominators means LCM of 95,401 as per the given fractions.

LCM of 95,401 is 38095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7235,7855

GCF of Fractions 7235/95,7855/401 is 5/38095

5 7235, 7855
1447, 1571

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7235,7855 By Matching Biggest Common Factor Method

Greatest Common Factor of 7235,7855 By Matching Biggest Common Factor Method

Factors of 7235

List of positive integer factors of 7235 that divides 7235 without a remainder.

1,5,1447,7235

Factors of 7855

List of positive integer factors of 7855 that divides 7855 without a remainder.

1,5,1571,7855

Greatest Common Factor

We found the factors 7235,7855 . The biggest common factor number is the GCF number.
So the greatest common factor 7235,7855 is 5.

Lets's calculate LCM of 95,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 38095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/38095

Therefore, the GCF of Fractions 7235/95,7855/401 is 5/38095

Least Common Multiple of 95,401 with GCF Formula

Least Common Multiple of 95,401 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 95,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,401) = 1

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

GCF(95,401) x common factors =1 x 1 = 1

LCM(95,401) = ( 95 × 401 ) / 1

LCM(95,401) = 38095 / 1

LCM(95,401) = 38095


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 7235/95, 7855/401

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 7235/95, 7855/401?

Answer: GCF of Numerators as per given numbers 7235/95, 7855/401 is

GCF of Numerators i.e. for 7235,7855 is 5

LCM of denominators i.e. for 95,401 is 38095.

Thus, GCF of Fractions is 5/38095.Finally, GCF of Fractions for 7235/95, 7855/401 is 5/38095.