Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 134/71,914/85,925/63
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 134,914,925
Greatest Common Factor of Numerators i.e. GCF of 134,914,925 is 1 .
LCM of Denominators means LCM of 71,85,63 as per the given fractions.
LCM of 71,85,63 is 380205 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 134,914,925
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Greatest Common Factor
We found the factors 134,914,925 . The biggest common factor number is the GCF number.
So the greatest common factor 134,914,925 is 1.
Lets's calculate LCM of 71,85,63
Given numbers has no common factors except 1. So, there LCM is their product i.e 380205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/380205
Therefore, the GCF of Fractions 134/71,914/85,925/63 is 1/380205
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 71,85,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,85,63) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,85,63) x common factors =1 x 1 = 1
LCM(71,85,63) = ( 71 × 85 × 63 ) / 1
LCM(71,85,63) = 380205 / 1
LCM(71,85,63) = 380205
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 134/71, 914/85, 925/63?
Answer: GCF of Numerators as per given numbers 134/71, 914/85, 925/63 is
GCF of Numerators i.e. for 134,914,925 is 1
LCM of denominators i.e. for 71,85,63 is 380205.
Thus, GCF of Fractions is 1/380205.Finally, GCF of Fractions for 134/71, 914/85, 925/63 is 1/380205.