Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/874,525/729,710/468
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 58,525,710
Greatest Common Factor of Numerators i.e. GCF of 58,525,710 is 1 .
LCM of Denominators means LCM of 874,729,468 as per the given fractions.
LCM of 874,729,468 is 16565796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,525,710
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 58,525,710 . The biggest common factor number is the GCF number.
So the greatest common factor 58,525,710 is 1.
Lets's calculate LCM of 874,729,468
2 | 874, 729, 468 |
3 | 437, 729, 234 |
3 | 437, 243, 78 |
437, 81, 26 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 437 x 81 x 26 = 16565796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16565796
Therefore, the GCF of Fractions 58/874,525/729,710/468 is 1/16565796
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 874,729,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,729,468) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(874,729,468) x common factors =1 x 18 = 18
LCM(874,729,468) = ( 874 × 729 × 468 ) / 18
LCM(874,729,468) = 298184328 / 18
LCM(874,729,468) = 16565796
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 58/874, 525/729, 710/468?
Answer: GCF of Numerators as per given numbers 58/874, 525/729, 710/468 is
GCF of Numerators i.e. for 58,525,710 is 1
LCM of denominators i.e. for 874,729,468 is 16565796.
Thus, GCF of Fractions is 1/16565796.Finally, GCF of Fractions for 58/874, 525/729, 710/468 is 1/16565796.