Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 782/15,500/34,465/212
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 782,500,465
Greatest Common Factor of Numerators i.e. GCF of 782,500,465 is 1 .
LCM of Denominators means LCM of 15,34,212 as per the given fractions.
LCM of 15,34,212 is 54060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 782,500,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 782,500,465 . The biggest common factor number is the GCF number.
So the greatest common factor 782,500,465 is 1.
Lets's calculate LCM of 15,34,212
2 | 15, 34, 212 |
15, 17, 106 |
∴ So the LCM of the given numbers is 2 x 15 x 17 x 106 = 54060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54060
Therefore, the GCF of Fractions 782/15,500/34,465/212 is 1/54060
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 15,34,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,34,212) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(15,34,212) x common factors =1 x 2 = 2
LCM(15,34,212) = ( 15 × 34 × 212 ) / 2
LCM(15,34,212) = 108120 / 2
LCM(15,34,212) = 54060
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 782/15, 500/34, 465/212?
Answer: GCF of Numerators as per given numbers 782/15, 500/34, 465/212 is
GCF of Numerators i.e. for 782,500,465 is 1
LCM of denominators i.e. for 15,34,212 is 54060.
Thus, GCF of Fractions is 1/54060.Finally, GCF of Fractions for 782/15, 500/34, 465/212 is 1/54060.