Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2334/192,1833/425
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 2334,1833
Greatest Common Factor of Numerators i.e. GCF of 2334,1833 is 3 .
LCM of Denominators means LCM of 192,425 as per the given fractions.
LCM of 192,425 is 81600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2334,1833
3 | 2334, 1833 |
778, 611 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2334
List of positive integer factors of 2334 that divides 2334 without a remainder.
1,2,3,6,389,778,1167,2334
Factors of 1833
List of positive integer factors of 1833 that divides 1833 without a remainder.
1,3,13,39,47,141,611,1833
Greatest Common Factor
We found the factors 2334,1833 . The biggest common factor number is the GCF number.
So the greatest common factor 2334,1833 is 3.
Lets's calculate LCM of 192,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 81600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/81600
Therefore, the GCF of Fractions 2334/192,1833/425 is 3/81600
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 192,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,425) x common factors =1 x 1 = 1
LCM(192,425) = ( 192 × 425 ) / 1
LCM(192,425) = 81600 / 1
LCM(192,425) = 81600
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 2334/192, 1833/425?
Answer: GCF of Numerators as per given numbers 2334/192, 1833/425 is
GCF of Numerators i.e. for 2334,1833 is 3
LCM of denominators i.e. for 192,425 is 81600.
Thus, GCF of Fractions is 3/81600.Finally, GCF of Fractions for 2334/192, 1833/425 is 3/81600.