Greatest Common Factor of 2175/995, 5429/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2175/995, 5429/221

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 2175/995,5429/221

Given fractions are 2175/995,5429/221

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 2175,5429

Greatest Common Factor of Numerators i.e. GCF of 2175,5429 is 1 .

LCM of Denominators means LCM of 995,221 as per the given fractions.

LCM of 995,221 is 219895 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2175,5429

GCF of Fractions 2175/995,5429/221 is 1/219895

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

Greatest Common Factor of 2175,5429 By Matching Biggest Common Factor Method

Greatest Common Factor of 2175,5429 By Matching Biggest Common Factor Method

Factors of 2175

List of positive integer factors of 2175 that divides 2175 without a remainder.

1,3,5,15,25,29,75,87,145,435,725,2175

Factors of 5429

List of positive integer factors of 5429 that divides 5429 without a remainder.

1,61,89,5429

Greatest Common Factor

We found the factors 2175,5429 . The biggest common factor number is the GCF number.
So the greatest common factor 2175,5429 is 1.

Lets's calculate LCM of 995,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 219895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219895

Therefore, the GCF of Fractions 2175/995,5429/221 is 1/219895

Least Common Multiple of 995,221 with GCF Formula

Least Common Multiple of 995,221 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 995,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,221) = 1

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

GCF(995,221) x common factors =1 x 1 = 1

LCM(995,221) = ( 995 × 221 ) / 1

LCM(995,221) = 219895 / 1

LCM(995,221) = 219895


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 2175/995, 5429/221

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 2175/995, 5429/221?

Answer: GCF of Numerators as per given numbers 2175/995, 5429/221 is

GCF of Numerators i.e. for 2175,5429 is 1

LCM of denominators i.e. for 995,221 is 219895.

Thus, GCF of Fractions is 1/219895.Finally, GCF of Fractions for 2175/995, 5429/221 is 1/219895.