Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4221/92,8995/568
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 4221,8995
Greatest Common Factor of Numerators i.e. GCF of 4221,8995 is 7 .
LCM of Denominators means LCM of 92,568 as per the given fractions.
LCM of 92,568 is 13064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4221,8995
7 | 4221, 8995 |
603, 1285 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 4221
List of positive integer factors of 4221 that divides 4221 without a remainder.
1,3,7,9,21,63,67,201,469,603,1407,4221
Factors of 8995
List of positive integer factors of 8995 that divides 8995 without a remainder.
1,5,7,35,257,1285,1799,8995
Greatest Common Factor
We found the factors 4221,8995 . The biggest common factor number is the GCF number.
So the greatest common factor 4221,8995 is 7.
Lets's calculate LCM of 92,568
2 | 92, 568 |
2 | 46, 284 |
23, 142 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 142 = 13064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/13064
Therefore, the GCF of Fractions 4221/92,8995/568 is 7/13064
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 92,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,568) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(92,568) x common factors =4 x 1 = 4
LCM(92,568) = ( 92 × 568 ) / 4
LCM(92,568) = 52256 / 4
LCM(92,568) = 13064
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 4221/92, 8995/568?
Answer: GCF of Numerators as per given numbers 4221/92, 8995/568 is
GCF of Numerators i.e. for 4221,8995 is 7
LCM of denominators i.e. for 92,568 is 13064.
Thus, GCF of Fractions is 7/13064.Finally, GCF of Fractions for 4221/92, 8995/568 is 7/13064.