Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9496/93,6363/964
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 9496,6363
Greatest Common Factor of Numerators i.e. GCF of 9496,6363 is 1 .
LCM of Denominators means LCM of 93,964 as per the given fractions.
LCM of 93,964 is 89652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9496,6363
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9496
List of positive integer factors of 9496 that divides 9496 without a remainder.
1,2,4,8,1187,2374,4748,9496
Factors of 6363
List of positive integer factors of 6363 that divides 6363 without a remainder.
1,3,7,9,21,63,101,303,707,909,2121,6363
Greatest Common Factor
We found the factors 9496,6363 . The biggest common factor number is the GCF number.
So the greatest common factor 9496,6363 is 1.
Lets's calculate LCM of 93,964
Given numbers has no common factors except 1. So, there LCM is their product i.e 89652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89652
Therefore, the GCF of Fractions 9496/93,6363/964 is 1/89652
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 93,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,964) x common factors =1 x 1 = 1
LCM(93,964) = ( 93 × 964 ) / 1
LCM(93,964) = 89652 / 1
LCM(93,964) = 89652
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 9496/93, 6363/964?
Answer: GCF of Numerators as per given numbers 9496/93, 6363/964 is
GCF of Numerators i.e. for 9496,6363 is 1
LCM of denominators i.e. for 93,964 is 89652.
Thus, GCF of Fractions is 1/89652.Finally, GCF of Fractions for 9496/93, 6363/964 is 1/89652.