Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1713/550,5232/907
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 1713,5232
Greatest Common Factor of Numerators i.e. GCF of 1713,5232 is 3 .
LCM of Denominators means LCM of 550,907 as per the given fractions.
LCM of 550,907 is 498850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1713,5232
3 | 1713, 5232 |
571, 1744 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1713
List of positive integer factors of 1713 that divides 1713 without a remainder.
1,3,571,1713
Factors of 5232
List of positive integer factors of 5232 that divides 5232 without a remainder.
1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
Greatest Common Factor
We found the factors 1713,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 1713,5232 is 3.
Lets's calculate LCM of 550,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 498850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/498850
Therefore, the GCF of Fractions 1713/550,5232/907 is 3/498850
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 550,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(550,907) x common factors =1 x 1 = 1
LCM(550,907) = ( 550 × 907 ) / 1
LCM(550,907) = 498850 / 1
LCM(550,907) = 498850
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 1713/550, 5232/907?
Answer: GCF of Numerators as per given numbers 1713/550, 5232/907 is
GCF of Numerators i.e. for 1713,5232 is 3
LCM of denominators i.e. for 550,907 is 498850.
Thus, GCF of Fractions is 3/498850.Finally, GCF of Fractions for 1713/550, 5232/907 is 3/498850.