Greatest Common Factor of 4117/849, 8228/3650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4117/849, 8228/3650

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 4117/849,8228/3650

Given fractions are 4117/849,8228/3650

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 4117,8228

Greatest Common Factor of Numerators i.e. GCF of 4117,8228 is 1 .

LCM of Denominators means LCM of 849,3650 as per the given fractions.

LCM of 849,3650 is 3098850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4117,8228

GCF of Fractions 4117/849,8228/3650 is 1/3098850

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

Greatest Common Factor of 4117,8228 By Matching Biggest Common Factor Method

Greatest Common Factor of 4117,8228 By Matching Biggest Common Factor Method

Factors of 4117

List of positive integer factors of 4117 that divides 4117 without a remainder.

1,23,179,4117

Factors of 8228

List of positive integer factors of 8228 that divides 8228 without a remainder.

1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228

Greatest Common Factor

We found the factors 4117,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 4117,8228 is 1.

Lets's calculate LCM of 849,3650

Given numbers has no common factors except 1. So, there LCM is their product i.e 3098850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3098850

Therefore, the GCF of Fractions 4117/849,8228/3650 is 1/3098850

Least Common Multiple of 849,3650 with GCF Formula

Least Common Multiple of 849,3650 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 849,3650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,3650) = 1

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

GCF(849,3650) x common factors =1 x 1 = 1

LCM(849,3650) = ( 849 × 3650 ) / 1

LCM(849,3650) = 3098850 / 1

LCM(849,3650) = 3098850


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 4117/849, 8228/3650

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 4117/849, 8228/3650?

Answer: GCF of Numerators as per given numbers 4117/849, 8228/3650 is

GCF of Numerators i.e. for 4117,8228 is 1

LCM of denominators i.e. for 849,3650 is 3098850.

Thus, GCF of Fractions is 1/3098850.Finally, GCF of Fractions for 4117/849, 8228/3650 is 1/3098850.