Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3614/495,6378/2515
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 3614,6378
Greatest Common Factor of Numerators i.e. GCF of 3614,6378 is 2 .
LCM of Denominators means LCM of 495,2515 as per the given fractions.
LCM of 495,2515 is 248985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3614,6378
2 | 3614, 6378 |
1807, 3189 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3614
List of positive integer factors of 3614 that divides 3614 without a remainder.
1,2,13,26,139,278,1807,3614
Factors of 6378
List of positive integer factors of 6378 that divides 6378 without a remainder.
1,2,3,6,1063,2126,3189,6378
Greatest Common Factor
We found the factors 3614,6378 . The biggest common factor number is the GCF number.
So the greatest common factor 3614,6378 is 2.
Lets's calculate LCM of 495,2515
5 | 495, 2515 |
99, 503 |
∴ So the LCM of the given numbers is 5 x 99 x 503 = 248985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/248985
Therefore, the GCF of Fractions 3614/495,6378/2515 is 2/248985
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 495,2515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,2515) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(495,2515) x common factors =5 x 1 = 5
LCM(495,2515) = ( 495 × 2515 ) / 5
LCM(495,2515) = 1244925 / 5
LCM(495,2515) = 248985
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 3614/495, 6378/2515?
Answer: GCF of Numerators as per given numbers 3614/495, 6378/2515 is
GCF of Numerators i.e. for 3614,6378 is 2
LCM of denominators i.e. for 495,2515 is 248985.
Thus, GCF of Fractions is 2/248985.Finally, GCF of Fractions for 3614/495, 6378/2515 is 2/248985.