Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 325/865,295/794,134/257
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 325,295,134
Greatest Common Factor of Numerators i.e. GCF of 325,295,134 is 1 .
LCM of Denominators means LCM of 865,794,257 as per the given fractions.
LCM of 865,794,257 is 176510170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 325,295,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 325,295,134 . The biggest common factor number is the GCF number.
So the greatest common factor 325,295,134 is 1.
Lets's calculate LCM of 865,794,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 176510170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176510170
Therefore, the GCF of Fractions 325/865,295/794,134/257 is 1/176510170
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 865,794,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,794,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,794,257) x common factors =1 x 1 = 1
LCM(865,794,257) = ( 865 × 794 × 257 ) / 1
LCM(865,794,257) = 176510170 / 1
LCM(865,794,257) = 176510170
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 325/865, 295/794, 134/257?
Answer: GCF of Numerators as per given numbers 325/865, 295/794, 134/257 is
GCF of Numerators i.e. for 325,295,134 is 1
LCM of denominators i.e. for 865,794,257 is 176510170.
Thus, GCF of Fractions is 1/176510170.Finally, GCF of Fractions for 325/865, 295/794, 134/257 is 1/176510170.