Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3631/709,1386/9824
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 3631,1386
Greatest Common Factor of Numerators i.e. GCF of 3631,1386 is 1 .
LCM of Denominators means LCM of 709,9824 as per the given fractions.
LCM of 709,9824 is 6965216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3631,1386
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3631
List of positive integer factors of 3631 that divides 3631 without a remainder.
1,3631
Factors of 1386
List of positive integer factors of 1386 that divides 1386 without a remainder.
1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386
Greatest Common Factor
We found the factors 3631,1386 . The biggest common factor number is the GCF number.
So the greatest common factor 3631,1386 is 1.
Lets's calculate LCM of 709,9824
Given numbers has no common factors except 1. So, there LCM is their product i.e 6965216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6965216
Therefore, the GCF of Fractions 3631/709,1386/9824 is 1/6965216
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 709,9824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,9824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,9824) x common factors =1 x 1 = 1
LCM(709,9824) = ( 709 × 9824 ) / 1
LCM(709,9824) = 6965216 / 1
LCM(709,9824) = 6965216
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 3631/709, 1386/9824?
Answer: GCF of Numerators as per given numbers 3631/709, 1386/9824 is
GCF of Numerators i.e. for 3631,1386 is 1
LCM of denominators i.e. for 709,9824 is 6965216.
Thus, GCF of Fractions is 1/6965216.Finally, GCF of Fractions for 3631/709, 1386/9824 is 1/6965216.