Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/810,136/570,566/504
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 47,136,566
Greatest Common Factor of Numerators i.e. GCF of 47,136,566 is 1 .
LCM of Denominators means LCM of 810,570,504 as per the given fractions.
LCM of 810,570,504 is 430920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,136,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 47,136,566 . The biggest common factor number is the GCF number.
So the greatest common factor 47,136,566 is 1.
Lets's calculate LCM of 810,570,504
2 | 810, 570, 504 |
3 | 405, 285, 252 |
3 | 135, 95, 84 |
5 | 45, 95, 28 |
9, 19, 28 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 9 x 19 x 28 = 430920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430920
Therefore, the GCF of Fractions 47/810,136/570,566/504 is 1/430920
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 810,570,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,570,504) = 6
common factors(in case of two or more numbers have common factors) = 90
GCF(810,570,504) x common factors =6 x 90 = 540
LCM(810,570,504) = ( 810 × 570 × 504 ) / 540
LCM(810,570,504) = 232696800 / 540
LCM(810,570,504) = 430920
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 47/810, 136/570, 566/504?
Answer: GCF of Numerators as per given numbers 47/810, 136/570, 566/504 is
GCF of Numerators i.e. for 47,136,566 is 1
LCM of denominators i.e. for 810,570,504 is 430920.
Thus, GCF of Fractions is 1/430920.Finally, GCF of Fractions for 47/810, 136/570, 566/504 is 1/430920.