Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 459/222,702/505
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 459,702
Greatest Common Factor of Numerators i.e. GCF of 459,702 is 27 .
LCM of Denominators means LCM of 222,505 as per the given fractions.
LCM of 222,505 is 112110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 459,702
3 | 459, 702 |
3 | 153, 234 |
3 | 51, 78 |
17, 26 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 459,702 . The biggest common factor number is the GCF number.
So the greatest common factor 459,702 is 27.
Lets's calculate LCM of 222,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 112110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/112110
Therefore, the GCF of Fractions 459/222,702/505 is 27/112110
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 222,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,505) x common factors =1 x 1 = 1
LCM(222,505) = ( 222 × 505 ) / 1
LCM(222,505) = 112110 / 1
LCM(222,505) = 112110
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 459/222, 702/505?
Answer: GCF of Numerators as per given numbers 459/222, 702/505 is
GCF of Numerators i.e. for 459,702 is 27
LCM of denominators i.e. for 222,505 is 112110.
Thus, GCF of Fractions is 27/112110.Finally, GCF of Fractions for 459/222, 702/505 is 27/112110.