Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 316/58,687/94,108/225
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 316,687,108
Greatest Common Factor of Numerators i.e. GCF of 316,687,108 is 1 .
LCM of Denominators means LCM of 58,94,225 as per the given fractions.
LCM of 58,94,225 is 613350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 316,687,108
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 316,687,108 . The biggest common factor number is the GCF number.
So the greatest common factor 316,687,108 is 1.
Lets's calculate LCM of 58,94,225
2 | 58, 94, 225 |
29, 47, 225 |
∴ So the LCM of the given numbers is 2 x 29 x 47 x 225 = 613350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/613350
Therefore, the GCF of Fractions 316/58,687/94,108/225 is 1/613350
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 58,94,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,94,225) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,94,225) x common factors =1 x 2 = 2
LCM(58,94,225) = ( 58 × 94 × 225 ) / 2
LCM(58,94,225) = 1226700 / 2
LCM(58,94,225) = 613350
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 316/58, 687/94, 108/225?
Answer: GCF of Numerators as per given numbers 316/58, 687/94, 108/225 is
GCF of Numerators i.e. for 316,687,108 is 1
LCM of denominators i.e. for 58,94,225 is 613350.
Thus, GCF of Fractions is 1/613350.Finally, GCF of Fractions for 316/58, 687/94, 108/225 is 1/613350.