Greatest Common Factor of 2235/824, 7127/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2235/824, 7127/375

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 2235/824,7127/375

Given fractions are 2235/824,7127/375

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 2235,7127

Greatest Common Factor of Numerators i.e. GCF of 2235,7127 is 1 .

LCM of Denominators means LCM of 824,375 as per the given fractions.

LCM of 824,375 is 309000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2235,7127

GCF of Fractions 2235/824,7127/375 is 1/309000

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

Greatest Common Factor of 2235,7127 By Matching Biggest Common Factor Method

Greatest Common Factor of 2235,7127 By Matching Biggest Common Factor Method

Factors of 2235

List of positive integer factors of 2235 that divides 2235 without a remainder.

1,3,5,15,149,447,745,2235

Factors of 7127

List of positive integer factors of 7127 that divides 7127 without a remainder.

1,7127

Greatest Common Factor

We found the factors 2235,7127 . The biggest common factor number is the GCF number.
So the greatest common factor 2235,7127 is 1.

Lets's calculate LCM of 824,375

Given numbers has no common factors except 1. So, there LCM is their product i.e 309000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309000

Therefore, the GCF of Fractions 2235/824,7127/375 is 1/309000

Least Common Multiple of 824,375 with GCF Formula

Least Common Multiple of 824,375 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 824,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,375) = 1

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

GCF(824,375) x common factors =1 x 1 = 1

LCM(824,375) = ( 824 × 375 ) / 1

LCM(824,375) = 309000 / 1

LCM(824,375) = 309000


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 2235/824, 7127/375

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 2235/824, 7127/375?

Answer: GCF of Numerators as per given numbers 2235/824, 7127/375 is

GCF of Numerators i.e. for 2235,7127 is 1

LCM of denominators i.e. for 824,375 is 309000.

Thus, GCF of Fractions is 1/309000.Finally, GCF of Fractions for 2235/824, 7127/375 is 1/309000.