Greatest Common Factor of 3805/196, 4225/5671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3805/196, 4225/5671

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 3805/196,4225/5671

Given fractions are 3805/196,4225/5671

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 3805,4225

Greatest Common Factor of Numerators i.e. GCF of 3805,4225 is 5 .

LCM of Denominators means LCM of 196,5671 as per the given fractions.

LCM of 196,5671 is 1111516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3805,4225

GCF of Fractions 3805/196,4225/5671 is 5/1111516

5 3805, 4225
761, 845

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

Greatest Common Factor of 3805,4225 By Matching Biggest Common Factor Method

Greatest Common Factor of 3805,4225 By Matching Biggest Common Factor Method

Factors of 3805

List of positive integer factors of 3805 that divides 3805 without a remainder.

1,5,761,3805

Factors of 4225

List of positive integer factors of 4225 that divides 4225 without a remainder.

1,5,13,25,65,169,325,845,4225

Greatest Common Factor

We found the factors 3805,4225 . The biggest common factor number is the GCF number.
So the greatest common factor 3805,4225 is 5.

Lets's calculate LCM of 196,5671

Given numbers has no common factors except 1. So, there LCM is their product i.e 1111516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1111516

Therefore, the GCF of Fractions 3805/196,4225/5671 is 5/1111516

Least Common Multiple of 196,5671 with GCF Formula

Least Common Multiple of 196,5671 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 196,5671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,5671) = 1

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

GCF(196,5671) x common factors =1 x 1 = 1

LCM(196,5671) = ( 196 × 5671 ) / 1

LCM(196,5671) = 1111516 / 1

LCM(196,5671) = 1111516


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 3805/196, 4225/5671

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 3805/196, 4225/5671?

Answer: GCF of Numerators as per given numbers 3805/196, 4225/5671 is

GCF of Numerators i.e. for 3805,4225 is 5

LCM of denominators i.e. for 196,5671 is 1111516.

Thus, GCF of Fractions is 5/1111516.Finally, GCF of Fractions for 3805/196, 4225/5671 is 5/1111516.