Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1985/926,9626/159
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 1985,9626
Greatest Common Factor of Numerators i.e. GCF of 1985,9626 is 1 .
LCM of Denominators means LCM of 926,159 as per the given fractions.
LCM of 926,159 is 147234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1985,9626
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1985
List of positive integer factors of 1985 that divides 1985 without a remainder.
1,5,397,1985
Factors of 9626
List of positive integer factors of 9626 that divides 9626 without a remainder.
1,2,4813,9626
Greatest Common Factor
We found the factors 1985,9626 . The biggest common factor number is the GCF number.
So the greatest common factor 1985,9626 is 1.
Lets's calculate LCM of 926,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 147234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147234
Therefore, the GCF of Fractions 1985/926,9626/159 is 1/147234
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 926,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(926,159) x common factors =1 x 1 = 1
LCM(926,159) = ( 926 × 159 ) / 1
LCM(926,159) = 147234 / 1
LCM(926,159) = 147234
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 1985/926, 9626/159?
Answer: GCF of Numerators as per given numbers 1985/926, 9626/159 is
GCF of Numerators i.e. for 1985,9626 is 1
LCM of denominators i.e. for 926,159 is 147234.
Thus, GCF of Fractions is 1/147234.Finally, GCF of Fractions for 1985/926, 9626/159 is 1/147234.