Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/82,44/41,81/58,52/510
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 70,44,81,52
Greatest Common Factor of Numerators i.e. GCF of 70,44,81,52 is 1 .
LCM of Denominators means LCM of 82,41,58,510 as per the given fractions.
LCM of 82,41,58,510 is 606390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,44,81,52
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Greatest Common Factor
We found the factors 70,44,81,52 . The biggest common factor number is the GCF number.
So the greatest common factor 70,44,81,52 is 1.
Lets's calculate LCM of 82,41,58,510
2 | 82, 41, 58, 510 |
41 | 41, 41, 29, 255 |
1, 1, 29, 255 |
∴ So the LCM of the given numbers is 2 x 41 x 1 x 1 x 29 x 255 = 606390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/606390
Therefore, the GCF of Fractions 70/82,44/41,81/58,52/510 is 1/606390
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 82,41,58,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,41,58,510) = 1
common factors(in case of two or more numbers have common factors) = 164
GCF(82,41,58,510) x common factors =1 x 164 = 164
LCM(82,41,58,510) = ( 82 × 41 × 58 × 510 ) / 164
LCM(82,41,58,510) = 99447960 / 164
LCM(82,41,58,510) = 606390
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 70/82, 44/41, 81/58, 52/510?
Answer: GCF of Numerators as per given numbers 70/82, 44/41, 81/58, 52/510 is
GCF of Numerators i.e. for 70,44,81,52 is 1
LCM of denominators i.e. for 82,41,58,510 is 606390.
Thus, GCF of Fractions is 1/606390.Finally, GCF of Fractions for 70/82, 44/41, 81/58, 52/510 is 1/606390.