Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2942/556,4001/252
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 2942,4001
Greatest Common Factor of Numerators i.e. GCF of 2942,4001 is 1 .
LCM of Denominators means LCM of 556,252 as per the given fractions.
LCM of 556,252 is 35028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2942,4001
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2942
List of positive integer factors of 2942 that divides 2942 without a remainder.
1,2,1471,2942
Factors of 4001
List of positive integer factors of 4001 that divides 4001 without a remainder.
1,4001
Greatest Common Factor
We found the factors 2942,4001 . The biggest common factor number is the GCF number.
So the greatest common factor 2942,4001 is 1.
Lets's calculate LCM of 556,252
2 | 556, 252 |
2 | 278, 126 |
139, 63 |
∴ So the LCM of the given numbers is 2 x 2 x 139 x 63 = 35028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35028
Therefore, the GCF of Fractions 2942/556,4001/252 is 1/35028
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 556,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,252) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(556,252) x common factors =4 x 1 = 4
LCM(556,252) = ( 556 × 252 ) / 4
LCM(556,252) = 140112 / 4
LCM(556,252) = 35028
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 2942/556, 4001/252?
Answer: GCF of Numerators as per given numbers 2942/556, 4001/252 is
GCF of Numerators i.e. for 2942,4001 is 1
LCM of denominators i.e. for 556,252 is 35028.
Thus, GCF of Fractions is 1/35028.Finally, GCF of Fractions for 2942/556, 4001/252 is 1/35028.