Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7150/73,1238/221
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 7150,1238
Greatest Common Factor of Numerators i.e. GCF of 7150,1238 is 2 .
LCM of Denominators means LCM of 73,221 as per the given fractions.
LCM of 73,221 is 16133 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7150,1238
2 | 7150, 1238 |
3575, 619 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7150
List of positive integer factors of 7150 that divides 7150 without a remainder.
1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Factors of 1238
List of positive integer factors of 1238 that divides 1238 without a remainder.
1,2,619,1238
Greatest Common Factor
We found the factors 7150,1238 . The biggest common factor number is the GCF number.
So the greatest common factor 7150,1238 is 2.
Lets's calculate LCM of 73,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 16133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16133
Therefore, the GCF of Fractions 7150/73,1238/221 is 2/16133
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 73,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,221) x common factors =1 x 1 = 1
LCM(73,221) = ( 73 × 221 ) / 1
LCM(73,221) = 16133 / 1
LCM(73,221) = 16133
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 7150/73, 1238/221?
Answer: GCF of Numerators as per given numbers 7150/73, 1238/221 is
GCF of Numerators i.e. for 7150,1238 is 2
LCM of denominators i.e. for 73,221 is 16133.
Thus, GCF of Fractions is 2/16133.Finally, GCF of Fractions for 7150/73, 1238/221 is 2/16133.