Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9566/85,7996/662
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 9566,7996
Greatest Common Factor of Numerators i.e. GCF of 9566,7996 is 2 .
LCM of Denominators means LCM of 85,662 as per the given fractions.
LCM of 85,662 is 56270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9566,7996
2 | 9566, 7996 |
4783, 3998 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9566
List of positive integer factors of 9566 that divides 9566 without a remainder.
1,2,4783,9566
Factors of 7996
List of positive integer factors of 7996 that divides 7996 without a remainder.
1,2,4,1999,3998,7996
Greatest Common Factor
We found the factors 9566,7996 . The biggest common factor number is the GCF number.
So the greatest common factor 9566,7996 is 2.
Lets's calculate LCM of 85,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 56270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56270
Therefore, the GCF of Fractions 9566/85,7996/662 is 2/56270
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 85,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,662) x common factors =1 x 1 = 1
LCM(85,662) = ( 85 × 662 ) / 1
LCM(85,662) = 56270 / 1
LCM(85,662) = 56270
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 9566/85, 7996/662?
Answer: GCF of Numerators as per given numbers 9566/85, 7996/662 is
GCF of Numerators i.e. for 9566,7996 is 2
LCM of denominators i.e. for 85,662 is 56270.
Thus, GCF of Fractions is 2/56270.Finally, GCF of Fractions for 9566/85, 7996/662 is 2/56270.