Greatest Common Factor of 4214/798, 8201/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4214/798, 8201/445

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 4214/798,8201/445

Given fractions are 4214/798,8201/445

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 4214,8201

Greatest Common Factor of Numerators i.e. GCF of 4214,8201 is 1 .

LCM of Denominators means LCM of 798,445 as per the given fractions.

LCM of 798,445 is 355110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4214,8201

GCF of Fractions 4214/798,8201/445 is 1/355110

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

Greatest Common Factor of 4214,8201 By Matching Biggest Common Factor Method

Greatest Common Factor of 4214,8201 By Matching Biggest Common Factor Method

Factors of 4214

List of positive integer factors of 4214 that divides 4214 without a remainder.

1,2,7,14,43,49,86,98,301,602,2107,4214

Factors of 8201

List of positive integer factors of 8201 that divides 8201 without a remainder.

1,59,139,8201

Greatest Common Factor

We found the factors 4214,8201 . The biggest common factor number is the GCF number.
So the greatest common factor 4214,8201 is 1.

Lets's calculate LCM of 798,445

Given numbers has no common factors except 1. So, there LCM is their product i.e 355110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355110

Therefore, the GCF of Fractions 4214/798,8201/445 is 1/355110

Least Common Multiple of 798,445 with GCF Formula

Least Common Multiple of 798,445 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 798,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,445) = 1

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

GCF(798,445) x common factors =1 x 1 = 1

LCM(798,445) = ( 798 × 445 ) / 1

LCM(798,445) = 355110 / 1

LCM(798,445) = 355110


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 4214/798, 8201/445

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 4214/798, 8201/445?

Answer: GCF of Numerators as per given numbers 4214/798, 8201/445 is

GCF of Numerators i.e. for 4214,8201 is 1

LCM of denominators i.e. for 798,445 is 355110.

Thus, GCF of Fractions is 1/355110.Finally, GCF of Fractions for 4214/798, 8201/445 is 1/355110.