Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/498,847/237,280/631
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 741,847,280
Greatest Common Factor of Numerators i.e. GCF of 741,847,280 is 1 .
LCM of Denominators means LCM of 498,237,631 as per the given fractions.
LCM of 498,237,631 is 24824802 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 741,847,280
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 741,847,280 . The biggest common factor number is the GCF number.
So the greatest common factor 741,847,280 is 1.
Lets's calculate LCM of 498,237,631
3 | 498, 237, 631 |
166, 79, 631 |
∴ So the LCM of the given numbers is 3 x 166 x 79 x 631 = 24824802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24824802
Therefore, the GCF of Fractions 741/498,847/237,280/631 is 1/24824802
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 498,237,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,237,631) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(498,237,631) x common factors =1 x 3 = 3
LCM(498,237,631) = ( 498 × 237 × 631 ) / 3
LCM(498,237,631) = 74474406 / 3
LCM(498,237,631) = 24824802
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 741/498, 847/237, 280/631?
Answer: GCF of Numerators as per given numbers 741/498, 847/237, 280/631 is
GCF of Numerators i.e. for 741,847,280 is 1
LCM of denominators i.e. for 498,237,631 is 24824802.
Thus, GCF of Fractions is 1/24824802.Finally, GCF of Fractions for 741/498, 847/237, 280/631 is 1/24824802.