Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 919/661,942/509
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 919,942
Greatest Common Factor of Numerators i.e. GCF of 919,942 is 1 .
LCM of Denominators means LCM of 661,509 as per the given fractions.
LCM of 661,509 is 336449 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 919,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 919,942 . The biggest common factor number is the GCF number.
So the greatest common factor 919,942 is 1.
Lets's calculate LCM of 661,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 336449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336449
Therefore, the GCF of Fractions 919/661,942/509 is 1/336449
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 661,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,509) x common factors =1 x 1 = 1
LCM(661,509) = ( 661 × 509 ) / 1
LCM(661,509) = 336449 / 1
LCM(661,509) = 336449
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 919/661, 942/509?
Answer: GCF of Numerators as per given numbers 919/661, 942/509 is
GCF of Numerators i.e. for 919,942 is 1
LCM of denominators i.e. for 661,509 is 336449.
Thus, GCF of Fractions is 1/336449.Finally, GCF of Fractions for 919/661, 942/509 is 1/336449.