Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7465/89,4778/153
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 7465,4778
Greatest Common Factor of Numerators i.e. GCF of 7465,4778 is 1 .
LCM of Denominators means LCM of 89,153 as per the given fractions.
LCM of 89,153 is 13617 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7465,4778
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7465
List of positive integer factors of 7465 that divides 7465 without a remainder.
1,5,1493,7465
Factors of 4778
List of positive integer factors of 4778 that divides 4778 without a remainder.
1,2,2389,4778
Greatest Common Factor
We found the factors 7465,4778 . The biggest common factor number is the GCF number.
So the greatest common factor 7465,4778 is 1.
Lets's calculate LCM of 89,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 13617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13617
Therefore, the GCF of Fractions 7465/89,4778/153 is 1/13617
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 89,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,153) x common factors =1 x 1 = 1
LCM(89,153) = ( 89 × 153 ) / 1
LCM(89,153) = 13617 / 1
LCM(89,153) = 13617
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 7465/89, 4778/153?
Answer: GCF of Numerators as per given numbers 7465/89, 4778/153 is
GCF of Numerators i.e. for 7465,4778 is 1
LCM of denominators i.e. for 89,153 is 13617.
Thus, GCF of Fractions is 1/13617.Finally, GCF of Fractions for 7465/89, 4778/153 is 1/13617.