Greatest Common Factor of 3838/624, 7186/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3838/624, 7186/490

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 3838/624,7186/490

Given fractions are 3838/624,7186/490

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 3838,7186

Greatest Common Factor of Numerators i.e. GCF of 3838,7186 is 2 .

LCM of Denominators means LCM of 624,490 as per the given fractions.

LCM of 624,490 is 152880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3838,7186

GCF of Fractions 3838/624,7186/490 is 2/152880

2 3838, 7186
1919, 3593

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3838,7186 By Matching Biggest Common Factor Method

Greatest Common Factor of 3838,7186 By Matching Biggest Common Factor Method

Factors of 3838

List of positive integer factors of 3838 that divides 3838 without a remainder.

1,2,19,38,101,202,1919,3838

Factors of 7186

List of positive integer factors of 7186 that divides 7186 without a remainder.

1,2,3593,7186

Greatest Common Factor

We found the factors 3838,7186 . The biggest common factor number is the GCF number.
So the greatest common factor 3838,7186 is 2.

Lets's calculate LCM of 624,490

2 624, 490
312, 245

∴ So the LCM of the given numbers is 2 x 312 x 245 = 152880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/152880

Therefore, the GCF of Fractions 3838/624,7186/490 is 2/152880

Least Common Multiple of 624,490 with GCF Formula

Least Common Multiple of 624,490 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 624,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,490) = 2

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

GCF(624,490) x common factors =2 x 1 = 2

LCM(624,490) = ( 624 × 490 ) / 2

LCM(624,490) = 305760 / 2

LCM(624,490) = 152880


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 3838/624, 7186/490

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 3838/624, 7186/490?

Answer: GCF of Numerators as per given numbers 3838/624, 7186/490 is

GCF of Numerators i.e. for 3838,7186 is 2

LCM of denominators i.e. for 624,490 is 152880.

Thus, GCF of Fractions is 2/152880.Finally, GCF of Fractions for 3838/624, 7186/490 is 2/152880.