Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 135/116,332/621,387/688
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 135,332,387
Greatest Common Factor of Numerators i.e. GCF of 135,332,387 is 1 .
LCM of Denominators means LCM of 116,621,688 as per the given fractions.
LCM of 116,621,688 is 12390192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 135,332,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 135,332,387 . The biggest common factor number is the GCF number.
So the greatest common factor 135,332,387 is 1.
Lets's calculate LCM of 116,621,688
2 | 116, 621, 688 |
2 | 58, 621, 344 |
29, 621, 172 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 621 x 172 = 12390192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12390192
Therefore, the GCF of Fractions 135/116,332/621,387/688 is 1/12390192
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 116,621,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,621,688) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(116,621,688) x common factors =1 x 4 = 4
LCM(116,621,688) = ( 116 × 621 × 688 ) / 4
LCM(116,621,688) = 49560768 / 4
LCM(116,621,688) = 12390192
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 135/116, 332/621, 387/688?
Answer: GCF of Numerators as per given numbers 135/116, 332/621, 387/688 is
GCF of Numerators i.e. for 135,332,387 is 1
LCM of denominators i.e. for 116,621,688 is 12390192.
Thus, GCF of Fractions is 1/12390192.Finally, GCF of Fractions for 135/116, 332/621, 387/688 is 1/12390192.