Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1885/844,3134/4460
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 1885,3134
Greatest Common Factor of Numerators i.e. GCF of 1885,3134 is 1 .
LCM of Denominators means LCM of 844,4460 as per the given fractions.
LCM of 844,4460 is 941060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1885,3134
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1885
List of positive integer factors of 1885 that divides 1885 without a remainder.
1,5,13,29,65,145,377,1885
Factors of 3134
List of positive integer factors of 3134 that divides 3134 without a remainder.
1,2,1567,3134
Greatest Common Factor
We found the factors 1885,3134 . The biggest common factor number is the GCF number.
So the greatest common factor 1885,3134 is 1.
Lets's calculate LCM of 844,4460
2 | 844, 4460 |
2 | 422, 2230 |
211, 1115 |
∴ So the LCM of the given numbers is 2 x 2 x 211 x 1115 = 941060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/941060
Therefore, the GCF of Fractions 1885/844,3134/4460 is 1/941060
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 844,4460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,4460) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(844,4460) x common factors =4 x 1 = 4
LCM(844,4460) = ( 844 × 4460 ) / 4
LCM(844,4460) = 3764240 / 4
LCM(844,4460) = 941060
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 1885/844, 3134/4460?
Answer: GCF of Numerators as per given numbers 1885/844, 3134/4460 is
GCF of Numerators i.e. for 1885,3134 is 1
LCM of denominators i.e. for 844,4460 is 941060.
Thus, GCF of Fractions is 1/941060.Finally, GCF of Fractions for 1885/844, 3134/4460 is 1/941060.