Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1313/181,7761/473
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 1313,7761
Greatest Common Factor of Numerators i.e. GCF of 1313,7761 is 13 .
LCM of Denominators means LCM of 181,473 as per the given fractions.
LCM of 181,473 is 85613 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1313,7761
13 | 1313, 7761 |
101, 597 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 1313
List of positive integer factors of 1313 that divides 1313 without a remainder.
1,13,101,1313
Factors of 7761
List of positive integer factors of 7761 that divides 7761 without a remainder.
1,3,13,39,199,597,2587,7761
Greatest Common Factor
We found the factors 1313,7761 . The biggest common factor number is the GCF number.
So the greatest common factor 1313,7761 is 13.
Lets's calculate LCM of 181,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 85613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/85613
Therefore, the GCF of Fractions 1313/181,7761/473 is 13/85613
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 181,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,473) x common factors =1 x 1 = 1
LCM(181,473) = ( 181 × 473 ) / 1
LCM(181,473) = 85613 / 1
LCM(181,473) = 85613
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 1313/181, 7761/473?
Answer: GCF of Numerators as per given numbers 1313/181, 7761/473 is
GCF of Numerators i.e. for 1313,7761 is 13
LCM of denominators i.e. for 181,473 is 85613.
Thus, GCF of Fractions is 13/85613.Finally, GCF of Fractions for 1313/181, 7761/473 is 13/85613.