Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3924/263,9070/2773
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 3924,9070
Greatest Common Factor of Numerators i.e. GCF of 3924,9070 is 2 .
LCM of Denominators means LCM of 263,2773 as per the given fractions.
LCM of 263,2773 is 729299 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3924,9070
2 | 3924, 9070 |
1962, 4535 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3924
List of positive integer factors of 3924 that divides 3924 without a remainder.
1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924
Factors of 9070
List of positive integer factors of 9070 that divides 9070 without a remainder.
1,2,5,10,907,1814,4535,9070
Greatest Common Factor
We found the factors 3924,9070 . The biggest common factor number is the GCF number.
So the greatest common factor 3924,9070 is 2.
Lets's calculate LCM of 263,2773
Given numbers has no common factors except 1. So, there LCM is their product i.e 729299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/729299
Therefore, the GCF of Fractions 3924/263,9070/2773 is 2/729299
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 263,2773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,2773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,2773) x common factors =1 x 1 = 1
LCM(263,2773) = ( 263 × 2773 ) / 1
LCM(263,2773) = 729299 / 1
LCM(263,2773) = 729299
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 3924/263, 9070/2773?
Answer: GCF of Numerators as per given numbers 3924/263, 9070/2773 is
GCF of Numerators i.e. for 3924,9070 is 2
LCM of denominators i.e. for 263,2773 is 729299.
Thus, GCF of Fractions is 2/729299.Finally, GCF of Fractions for 3924/263, 9070/2773 is 2/729299.