Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2340/59,3135/789
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 2340,3135
Greatest Common Factor of Numerators i.e. GCF of 2340,3135 is 15 .
LCM of Denominators means LCM of 59,789 as per the given fractions.
LCM of 59,789 is 46551 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2340,3135
3 | 2340, 3135 |
5 | 780, 1045 |
156, 209 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 2340
List of positive integer factors of 2340 that divides 2340 without a remainder.
1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340
Factors of 3135
List of positive integer factors of 3135 that divides 3135 without a remainder.
1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135
Greatest Common Factor
We found the factors 2340,3135 . The biggest common factor number is the GCF number.
So the greatest common factor 2340,3135 is 15.
Lets's calculate LCM of 59,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 46551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/46551
Therefore, the GCF of Fractions 2340/59,3135/789 is 15/46551
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 59,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,789) x common factors =1 x 1 = 1
LCM(59,789) = ( 59 × 789 ) / 1
LCM(59,789) = 46551 / 1
LCM(59,789) = 46551
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 2340/59, 3135/789?
Answer: GCF of Numerators as per given numbers 2340/59, 3135/789 is
GCF of Numerators i.e. for 2340,3135 is 15
LCM of denominators i.e. for 59,789 is 46551.
Thus, GCF of Fractions is 15/46551.Finally, GCF of Fractions for 2340/59, 3135/789 is 15/46551.