Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9656/325,5963/679
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 9656,5963
Greatest Common Factor of Numerators i.e. GCF of 9656,5963 is 1 .
LCM of Denominators means LCM of 325,679 as per the given fractions.
LCM of 325,679 is 220675 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9656,5963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9656
List of positive integer factors of 9656 that divides 9656 without a remainder.
1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656
Factors of 5963
List of positive integer factors of 5963 that divides 5963 without a remainder.
1,67,89,5963
Greatest Common Factor
We found the factors 9656,5963 . The biggest common factor number is the GCF number.
So the greatest common factor 9656,5963 is 1.
Lets's calculate LCM of 325,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 220675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220675
Therefore, the GCF of Fractions 9656/325,5963/679 is 1/220675
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 325,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,679) x common factors =1 x 1 = 1
LCM(325,679) = ( 325 × 679 ) / 1
LCM(325,679) = 220675 / 1
LCM(325,679) = 220675
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 9656/325, 5963/679?
Answer: GCF of Numerators as per given numbers 9656/325, 5963/679 is
GCF of Numerators i.e. for 9656,5963 is 1
LCM of denominators i.e. for 325,679 is 220675.
Thus, GCF of Fractions is 1/220675.Finally, GCF of Fractions for 9656/325, 5963/679 is 1/220675.