Greatest Common Factor of 6150/280, 1848/3910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6150/280, 1848/3910

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 6150/280,1848/3910

Given fractions are 6150/280,1848/3910

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 6150,1848

Greatest Common Factor of Numerators i.e. GCF of 6150,1848 is 6 .

LCM of Denominators means LCM of 280,3910 as per the given fractions.

LCM of 280,3910 is 109480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6150,1848

GCF of Fractions 6150/280,1848/3910 is 6/109480

2 6150, 1848
3 3075, 924
1025, 308

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6150,1848 By Matching Biggest Common Factor Method

Greatest Common Factor of 6150,1848 By Matching Biggest Common Factor Method

Factors of 6150

List of positive integer factors of 6150 that divides 6150 without a remainder.

1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150

Factors of 1848

List of positive integer factors of 1848 that divides 1848 without a remainder.

1,2,3,4,6,7,8,11,12,14,21,22,24,28,33,42,44,56,66,77,84,88,132,154,168,231,264,308,462,616,924,1848

Greatest Common Factor

We found the factors 6150,1848 . The biggest common factor number is the GCF number.
So the greatest common factor 6150,1848 is 6.

Lets's calculate LCM of 280,3910

2 280, 3910
5 140, 1955
28, 391

∴ So the LCM of the given numbers is 2 x 5 x 28 x 391 = 109480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/109480

Therefore, the GCF of Fractions 6150/280,1848/3910 is 6/109480

Least Common Multiple of 280,3910 with GCF Formula

Least Common Multiple of 280,3910 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 280,3910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,3910) = 10

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

GCF(280,3910) x common factors =10 x 1 = 10

LCM(280,3910) = ( 280 × 3910 ) / 10

LCM(280,3910) = 1094800 / 10

LCM(280,3910) = 109480


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 6150/280, 1848/3910

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 6150/280, 1848/3910?

Answer: GCF of Numerators as per given numbers 6150/280, 1848/3910 is

GCF of Numerators i.e. for 6150,1848 is 6

LCM of denominators i.e. for 280,3910 is 109480.

Thus, GCF of Fractions is 6/109480.Finally, GCF of Fractions for 6150/280, 1848/3910 is 6/109480.