Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6465/650,3513/938
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 6465,3513
Greatest Common Factor of Numerators i.e. GCF of 6465,3513 is 3 .
LCM of Denominators means LCM of 650,938 as per the given fractions.
LCM of 650,938 is 304850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6465,3513
3 | 6465, 3513 |
2155, 1171 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6465
List of positive integer factors of 6465 that divides 6465 without a remainder.
1,3,5,15,431,1293,2155,6465
Factors of 3513
List of positive integer factors of 3513 that divides 3513 without a remainder.
1,3,1171,3513
Greatest Common Factor
We found the factors 6465,3513 . The biggest common factor number is the GCF number.
So the greatest common factor 6465,3513 is 3.
Lets's calculate LCM of 650,938
2 | 650, 938 |
325, 469 |
∴ So the LCM of the given numbers is 2 x 325 x 469 = 304850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/304850
Therefore, the GCF of Fractions 6465/650,3513/938 is 3/304850
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 650,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,938) x common factors =2 x 1 = 2
LCM(650,938) = ( 650 × 938 ) / 2
LCM(650,938) = 609700 / 2
LCM(650,938) = 304850
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 6465/650, 3513/938?
Answer: GCF of Numerators as per given numbers 6465/650, 3513/938 is
GCF of Numerators i.e. for 6465,3513 is 3
LCM of denominators i.e. for 650,938 is 304850.
Thus, GCF of Fractions is 3/304850.Finally, GCF of Fractions for 6465/650, 3513/938 is 3/304850.