Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/76,810/9702
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 220,810
Greatest Common Factor of Numerators i.e. GCF of 220,810 is 10 .
LCM of Denominators means LCM of 76,9702 as per the given fractions.
LCM of 76,9702 is 368676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 220,810
2 | 220, 810 |
5 | 110, 405 |
22, 81 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 220,810 . The biggest common factor number is the GCF number.
So the greatest common factor 220,810 is 10.
Lets's calculate LCM of 76,9702
2 | 76, 9702 |
38, 4851 |
∴ So the LCM of the given numbers is 2 x 38 x 4851 = 368676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/368676
Therefore, the GCF of Fractions 220/76,810/9702 is 10/368676
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 76,9702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,9702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,9702) x common factors =2 x 1 = 2
LCM(76,9702) = ( 76 × 9702 ) / 2
LCM(76,9702) = 737352 / 2
LCM(76,9702) = 368676
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 220/76, 810/9702?
Answer: GCF of Numerators as per given numbers 220/76, 810/9702 is
GCF of Numerators i.e. for 220,810 is 10
LCM of denominators i.e. for 76,9702 is 368676.
Thus, GCF of Fractions is 10/368676.Finally, GCF of Fractions for 220/76, 810/9702 is 10/368676.