Greatest Common Factor of 5226/280, 3945/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5226/280, 3945/397

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 5226/280,3945/397

Given fractions are 5226/280,3945/397

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 5226,3945

Greatest Common Factor of Numerators i.e. GCF of 5226,3945 is 3 .

LCM of Denominators means LCM of 280,397 as per the given fractions.

LCM of 280,397 is 111160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5226,3945

GCF of Fractions 5226/280,3945/397 is 3/111160

3 5226, 3945
1742, 1315

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5226,3945 By Matching Biggest Common Factor Method

Greatest Common Factor of 5226,3945 By Matching Biggest Common Factor Method

Factors of 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1,2,3,6,13,26,39,67,78,134,201,402,871,1742,2613,5226

Factors of 3945

List of positive integer factors of 3945 that divides 3945 without a remainder.

1,3,5,15,263,789,1315,3945

Greatest Common Factor

We found the factors 5226,3945 . The biggest common factor number is the GCF number.
So the greatest common factor 5226,3945 is 3.

Lets's calculate LCM of 280,397

Given numbers has no common factors except 1. So, there LCM is their product i.e 111160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/111160

Therefore, the GCF of Fractions 5226/280,3945/397 is 3/111160

Least Common Multiple of 280,397 with GCF Formula

Least Common Multiple of 280,397 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 280,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,397) = 1

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

GCF(280,397) x common factors =1 x 1 = 1

LCM(280,397) = ( 280 × 397 ) / 1

LCM(280,397) = 111160 / 1

LCM(280,397) = 111160


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 5226/280, 3945/397

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 5226/280, 3945/397?

Answer: GCF of Numerators as per given numbers 5226/280, 3945/397 is

GCF of Numerators i.e. for 5226,3945 is 3

LCM of denominators i.e. for 280,397 is 111160.

Thus, GCF of Fractions is 3/111160.Finally, GCF of Fractions for 5226/280, 3945/397 is 3/111160.