Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 587/46,942/23,652/699
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 587,942,652
Greatest Common Factor of Numerators i.e. GCF of 587,942,652 is 1 .
LCM of Denominators means LCM of 46,23,699 as per the given fractions.
LCM of 46,23,699 is 32154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 587,942,652
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 587,942,652 . The biggest common factor number is the GCF number.
So the greatest common factor 587,942,652 is 1.
Lets's calculate LCM of 46,23,699
23 | 46, 23, 699 |
2, 1, 699 |
∴ So the LCM of the given numbers is 23 x 2 x 1 x 699 = 32154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32154
Therefore, the GCF of Fractions 587/46,942/23,652/699 is 1/32154
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 46,23,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,23,699) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(46,23,699) x common factors =1 x 23 = 23
LCM(46,23,699) = ( 46 × 23 × 699 ) / 23
LCM(46,23,699) = 739542 / 23
LCM(46,23,699) = 32154
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 587/46, 942/23, 652/699?
Answer: GCF of Numerators as per given numbers 587/46, 942/23, 652/699 is
GCF of Numerators i.e. for 587,942,652 is 1
LCM of denominators i.e. for 46,23,699 is 32154.
Thus, GCF of Fractions is 1/32154.Finally, GCF of Fractions for 587/46, 942/23, 652/699 is 1/32154.