Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 567/1468,944/9665
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 567,944
Greatest Common Factor of Numerators i.e. GCF of 567,944 is 1 .
LCM of Denominators means LCM of 1468,9665 as per the given fractions.
LCM of 1468,9665 is 14188220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 567,944
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Greatest Common Factor
We found the factors 567,944 . The biggest common factor number is the GCF number.
So the greatest common factor 567,944 is 1.
Lets's calculate LCM of 1468,9665
Given numbers has no common factors except 1. So, there LCM is their product i.e 14188220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14188220
Therefore, the GCF of Fractions 567/1468,944/9665 is 1/14188220
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 1468,9665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1468,9665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1468,9665) x common factors =1 x 1 = 1
LCM(1468,9665) = ( 1468 × 9665 ) / 1
LCM(1468,9665) = 14188220 / 1
LCM(1468,9665) = 14188220
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 567/1468, 944/9665?
Answer: GCF of Numerators as per given numbers 567/1468, 944/9665 is
GCF of Numerators i.e. for 567,944 is 1
LCM of denominators i.e. for 1468,9665 is 14188220.
Thus, GCF of Fractions is 1/14188220.Finally, GCF of Fractions for 567/1468, 944/9665 is 1/14188220.