Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 134/24,460/10,264/725
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 134,460,264
Greatest Common Factor of Numerators i.e. GCF of 134,460,264 is 2 .
LCM of Denominators means LCM of 24,10,725 as per the given fractions.
LCM of 24,10,725 is 17400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 134,460,264
2 | 134, 460, 264 |
67, 230, 132 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 134,460,264 . The biggest common factor number is the GCF number.
So the greatest common factor 134,460,264 is 2.
Lets's calculate LCM of 24,10,725
2 | 24, 10, 725 |
5 | 12, 5, 725 |
12, 1, 145 |
∴ So the LCM of the given numbers is 2 x 5 x 12 x 1 x 145 = 17400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17400
Therefore, the GCF of Fractions 134/24,460/10,264/725 is 2/17400
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 24,10,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,10,725) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(24,10,725) x common factors =1 x 10 = 10
LCM(24,10,725) = ( 24 × 10 × 725 ) / 10
LCM(24,10,725) = 174000 / 10
LCM(24,10,725) = 17400
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 134/24, 460/10, 264/725?
Answer: GCF of Numerators as per given numbers 134/24, 460/10, 264/725 is
GCF of Numerators i.e. for 134,460,264 is 2
LCM of denominators i.e. for 24,10,725 is 17400.
Thus, GCF of Fractions is 2/17400.Finally, GCF of Fractions for 134/24, 460/10, 264/725 is 2/17400.