Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7445/164,9091/995
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 7445,9091
Greatest Common Factor of Numerators i.e. GCF of 7445,9091 is 1 .
LCM of Denominators means LCM of 164,995 as per the given fractions.
LCM of 164,995 is 163180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7445,9091
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7445
List of positive integer factors of 7445 that divides 7445 without a remainder.
1,5,1489,7445
Factors of 9091
List of positive integer factors of 9091 that divides 9091 without a remainder.
1,9091
Greatest Common Factor
We found the factors 7445,9091 . The biggest common factor number is the GCF number.
So the greatest common factor 7445,9091 is 1.
Lets's calculate LCM of 164,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 163180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163180
Therefore, the GCF of Fractions 7445/164,9091/995 is 1/163180
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 164,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,995) x common factors =1 x 1 = 1
LCM(164,995) = ( 164 × 995 ) / 1
LCM(164,995) = 163180 / 1
LCM(164,995) = 163180
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 7445/164, 9091/995?
Answer: GCF of Numerators as per given numbers 7445/164, 9091/995 is
GCF of Numerators i.e. for 7445,9091 is 1
LCM of denominators i.e. for 164,995 is 163180.
Thus, GCF of Fractions is 1/163180.Finally, GCF of Fractions for 7445/164, 9091/995 is 1/163180.