Greatest Common Factor of 6145/908, 2442/5408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6145/908, 2442/5408

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 6145/908,2442/5408

Given fractions are 6145/908,2442/5408

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 6145,2442

Greatest Common Factor of Numerators i.e. GCF of 6145,2442 is 1 .

LCM of Denominators means LCM of 908,5408 as per the given fractions.

LCM of 908,5408 is 1227616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6145,2442

GCF of Fractions 6145/908,2442/5408 is 1/1227616

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

Greatest Common Factor of 6145,2442 By Matching Biggest Common Factor Method

Greatest Common Factor of 6145,2442 By Matching Biggest Common Factor Method

Factors of 6145

List of positive integer factors of 6145 that divides 6145 without a remainder.

1,5,1229,6145

Factors of 2442

List of positive integer factors of 2442 that divides 2442 without a remainder.

1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442

Greatest Common Factor

We found the factors 6145,2442 . The biggest common factor number is the GCF number.
So the greatest common factor 6145,2442 is 1.

Lets's calculate LCM of 908,5408

2 908, 5408
2 454, 2704
227, 1352

∴ So the LCM of the given numbers is 2 x 2 x 227 x 1352 = 1227616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1227616

Therefore, the GCF of Fractions 6145/908,2442/5408 is 1/1227616

Least Common Multiple of 908,5408 with GCF Formula

Least Common Multiple of 908,5408 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 908,5408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,5408) = 4

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

GCF(908,5408) x common factors =4 x 1 = 4

LCM(908,5408) = ( 908 × 5408 ) / 4

LCM(908,5408) = 4910464 / 4

LCM(908,5408) = 1227616


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 6145/908, 2442/5408

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 6145/908, 2442/5408?

Answer: GCF of Numerators as per given numbers 6145/908, 2442/5408 is

GCF of Numerators i.e. for 6145,2442 is 1

LCM of denominators i.e. for 908,5408 is 1227616.

Thus, GCF of Fractions is 1/1227616.Finally, GCF of Fractions for 6145/908, 2442/5408 is 1/1227616.