Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/990,221/740
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 78,221
Greatest Common Factor of Numerators i.e. GCF of 78,221 is 13 .
LCM of Denominators means LCM of 990,740 as per the given fractions.
LCM of 990,740 is 73260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,221
13 | 78, 221 |
6, 17 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 78,221 . The biggest common factor number is the GCF number.
So the greatest common factor 78,221 is 13.
Lets's calculate LCM of 990,740
2 | 990, 740 |
5 | 495, 370 |
99, 74 |
∴ So the LCM of the given numbers is 2 x 5 x 99 x 74 = 73260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/73260
Therefore, the GCF of Fractions 78/990,221/740 is 13/73260
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 990,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,740) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(990,740) x common factors =10 x 1 = 10
LCM(990,740) = ( 990 × 740 ) / 10
LCM(990,740) = 732600 / 10
LCM(990,740) = 73260
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 78/990, 221/740?
Answer: GCF of Numerators as per given numbers 78/990, 221/740 is
GCF of Numerators i.e. for 78,221 is 13
LCM of denominators i.e. for 990,740 is 73260.
Thus, GCF of Fractions is 13/73260.Finally, GCF of Fractions for 78/990, 221/740 is 13/73260.