Greatest Common Factor of 2449/275, 2635/3397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2449/275, 2635/3397

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 2449/275,2635/3397

Given fractions are 2449/275,2635/3397

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 2449,2635

Greatest Common Factor of Numerators i.e. GCF of 2449,2635 is 31 .

LCM of Denominators means LCM of 275,3397 as per the given fractions.

LCM of 275,3397 is 934175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2449,2635

GCF of Fractions 2449/275,2635/3397 is 31/934175

31 2449, 2635
79, 85

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 2449,2635 By Matching Biggest Common Factor Method

Greatest Common Factor of 2449,2635 By Matching Biggest Common Factor Method

Factors of 2449

List of positive integer factors of 2449 that divides 2449 without a remainder.

1,31,79,2449

Factors of 2635

List of positive integer factors of 2635 that divides 2635 without a remainder.

1,5,17,31,85,155,527,2635

Greatest Common Factor

We found the factors 2449,2635 . The biggest common factor number is the GCF number.
So the greatest common factor 2449,2635 is 31.

Lets's calculate LCM of 275,3397

Given numbers has no common factors except 1. So, there LCM is their product i.e 934175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/934175

Therefore, the GCF of Fractions 2449/275,2635/3397 is 31/934175

Least Common Multiple of 275,3397 with GCF Formula

Least Common Multiple of 275,3397 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 275,3397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,3397) = 1

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

GCF(275,3397) x common factors =1 x 1 = 1

LCM(275,3397) = ( 275 × 3397 ) / 1

LCM(275,3397) = 934175 / 1

LCM(275,3397) = 934175


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 2449/275, 2635/3397

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 2449/275, 2635/3397?

Answer: GCF of Numerators as per given numbers 2449/275, 2635/3397 is

GCF of Numerators i.e. for 2449,2635 is 31

LCM of denominators i.e. for 275,3397 is 934175.

Thus, GCF of Fractions is 31/934175.Finally, GCF of Fractions for 2449/275, 2635/3397 is 31/934175.