Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3187/724,1244/830
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 3187,1244
Greatest Common Factor of Numerators i.e. GCF of 3187,1244 is 1 .
LCM of Denominators means LCM of 724,830 as per the given fractions.
LCM of 724,830 is 300460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3187,1244
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3187
List of positive integer factors of 3187 that divides 3187 without a remainder.
1,3187
Factors of 1244
List of positive integer factors of 1244 that divides 1244 without a remainder.
1,2,4,311,622,1244
Greatest Common Factor
We found the factors 3187,1244 . The biggest common factor number is the GCF number.
So the greatest common factor 3187,1244 is 1.
Lets's calculate LCM of 724,830
2 | 724, 830 |
362, 415 |
∴ So the LCM of the given numbers is 2 x 362 x 415 = 300460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300460
Therefore, the GCF of Fractions 3187/724,1244/830 is 1/300460
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 724,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,830) x common factors =2 x 1 = 2
LCM(724,830) = ( 724 × 830 ) / 2
LCM(724,830) = 600920 / 2
LCM(724,830) = 300460
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 3187/724, 1244/830?
Answer: GCF of Numerators as per given numbers 3187/724, 1244/830 is
GCF of Numerators i.e. for 3187,1244 is 1
LCM of denominators i.e. for 724,830 is 300460.
Thus, GCF of Fractions is 1/300460.Finally, GCF of Fractions for 3187/724, 1244/830 is 1/300460.