Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1543/468,9029/1330
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 1543,9029
Greatest Common Factor of Numerators i.e. GCF of 1543,9029 is 1 .
LCM of Denominators means LCM of 468,1330 as per the given fractions.
LCM of 468,1330 is 311220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1543,9029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1543
List of positive integer factors of 1543 that divides 1543 without a remainder.
1,1543
Factors of 9029
List of positive integer factors of 9029 that divides 9029 without a remainder.
1,9029
Greatest Common Factor
We found the factors 1543,9029 . The biggest common factor number is the GCF number.
So the greatest common factor 1543,9029 is 1.
Lets's calculate LCM of 468,1330
2 | 468, 1330 |
234, 665 |
∴ So the LCM of the given numbers is 2 x 234 x 665 = 311220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311220
Therefore, the GCF of Fractions 1543/468,9029/1330 is 1/311220
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 468,1330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,1330) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(468,1330) x common factors =2 x 1 = 2
LCM(468,1330) = ( 468 × 1330 ) / 2
LCM(468,1330) = 622440 / 2
LCM(468,1330) = 311220
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 1543/468, 9029/1330?
Answer: GCF of Numerators as per given numbers 1543/468, 9029/1330 is
GCF of Numerators i.e. for 1543,9029 is 1
LCM of denominators i.e. for 468,1330 is 311220.
Thus, GCF of Fractions is 1/311220.Finally, GCF of Fractions for 1543/468, 9029/1330 is 1/311220.