Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4575/50,4534/967
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 4575,4534
Greatest Common Factor of Numerators i.e. GCF of 4575,4534 is 1 .
LCM of Denominators means LCM of 50,967 as per the given fractions.
LCM of 50,967 is 48350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4575,4534
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4575
List of positive integer factors of 4575 that divides 4575 without a remainder.
1,3,5,15,25,61,75,183,305,915,1525,4575
Factors of 4534
List of positive integer factors of 4534 that divides 4534 without a remainder.
1,2,2267,4534
Greatest Common Factor
We found the factors 4575,4534 . The biggest common factor number is the GCF number.
So the greatest common factor 4575,4534 is 1.
Lets's calculate LCM of 50,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 48350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48350
Therefore, the GCF of Fractions 4575/50,4534/967 is 1/48350
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 50,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,967) x common factors =1 x 1 = 1
LCM(50,967) = ( 50 × 967 ) / 1
LCM(50,967) = 48350 / 1
LCM(50,967) = 48350
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 4575/50, 4534/967?
Answer: GCF of Numerators as per given numbers 4575/50, 4534/967 is
GCF of Numerators i.e. for 4575,4534 is 1
LCM of denominators i.e. for 50,967 is 48350.
Thus, GCF of Fractions is 1/48350.Finally, GCF of Fractions for 4575/50, 4534/967 is 1/48350.