Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7623/314,8150/4095
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 7623,8150
Greatest Common Factor of Numerators i.e. GCF of 7623,8150 is 1 .
LCM of Denominators means LCM of 314,4095 as per the given fractions.
LCM of 314,4095 is 1285830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7623,8150
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7623
List of positive integer factors of 7623 that divides 7623 without a remainder.
1,3,7,9,11,21,33,63,77,99,121,231,363,693,847,1089,2541,7623
Factors of 8150
List of positive integer factors of 8150 that divides 8150 without a remainder.
1,2,5,10,25,50,163,326,815,1630,4075,8150
Greatest Common Factor
We found the factors 7623,8150 . The biggest common factor number is the GCF number.
So the greatest common factor 7623,8150 is 1.
Lets's calculate LCM of 314,4095
Given numbers has no common factors except 1. So, there LCM is their product i.e 1285830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1285830
Therefore, the GCF of Fractions 7623/314,8150/4095 is 1/1285830
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 314,4095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,4095) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,4095) x common factors =1 x 1 = 1
LCM(314,4095) = ( 314 × 4095 ) / 1
LCM(314,4095) = 1285830 / 1
LCM(314,4095) = 1285830
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 7623/314, 8150/4095?
Answer: GCF of Numerators as per given numbers 7623/314, 8150/4095 is
GCF of Numerators i.e. for 7623,8150 is 1
LCM of denominators i.e. for 314,4095 is 1285830.
Thus, GCF of Fractions is 1/1285830.Finally, GCF of Fractions for 7623/314, 8150/4095 is 1/1285830.