Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4619/584,3207/1771
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 4619,3207
Greatest Common Factor of Numerators i.e. GCF of 4619,3207 is 1 .
LCM of Denominators means LCM of 584,1771 as per the given fractions.
LCM of 584,1771 is 1034264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4619,3207
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4619
List of positive integer factors of 4619 that divides 4619 without a remainder.
1,31,149,4619
Factors of 3207
List of positive integer factors of 3207 that divides 3207 without a remainder.
1,3,1069,3207
Greatest Common Factor
We found the factors 4619,3207 . The biggest common factor number is the GCF number.
So the greatest common factor 4619,3207 is 1.
Lets's calculate LCM of 584,1771
Given numbers has no common factors except 1. So, there LCM is their product i.e 1034264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1034264
Therefore, the GCF of Fractions 4619/584,3207/1771 is 1/1034264
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 584,1771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,1771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,1771) x common factors =1 x 1 = 1
LCM(584,1771) = ( 584 × 1771 ) / 1
LCM(584,1771) = 1034264 / 1
LCM(584,1771) = 1034264
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 4619/584, 3207/1771?
Answer: GCF of Numerators as per given numbers 4619/584, 3207/1771 is
GCF of Numerators i.e. for 4619,3207 is 1
LCM of denominators i.e. for 584,1771 is 1034264.
Thus, GCF of Fractions is 1/1034264.Finally, GCF of Fractions for 4619/584, 3207/1771 is 1/1034264.