Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/660,265/375,150/352
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 39,265,150
Greatest Common Factor of Numerators i.e. GCF of 39,265,150 is 1 .
LCM of Denominators means LCM of 660,375,352 as per the given fractions.
LCM of 660,375,352 is 132000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,265,150
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 39,265,150 . The biggest common factor number is the GCF number.
So the greatest common factor 39,265,150 is 1.
Lets's calculate LCM of 660,375,352
2 | 660, 375, 352 |
2 | 330, 375, 176 |
3 | 165, 375, 88 |
5 | 55, 125, 88 |
11 | 11, 25, 88 |
1, 25, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 1 x 25 x 8 = 132000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132000
Therefore, the GCF of Fractions 39/660,265/375,150/352 is 1/132000
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 660,375,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,375,352) = 1
common factors(in case of two or more numbers have common factors) = 660
GCF(660,375,352) x common factors =1 x 660 = 660
LCM(660,375,352) = ( 660 × 375 × 352 ) / 660
LCM(660,375,352) = 87120000 / 660
LCM(660,375,352) = 132000
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 39/660, 265/375, 150/352?
Answer: GCF of Numerators as per given numbers 39/660, 265/375, 150/352 is
GCF of Numerators i.e. for 39,265,150 is 1
LCM of denominators i.e. for 660,375,352 is 132000.
Thus, GCF of Fractions is 1/132000.Finally, GCF of Fractions for 39/660, 265/375, 150/352 is 1/132000.