Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1481/63,9588/556
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 1481,9588
Greatest Common Factor of Numerators i.e. GCF of 1481,9588 is 1 .
LCM of Denominators means LCM of 63,556 as per the given fractions.
LCM of 63,556 is 35028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1481,9588
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1481
List of positive integer factors of 1481 that divides 1481 without a remainder.
1,1481
Factors of 9588
List of positive integer factors of 9588 that divides 9588 without a remainder.
1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588
Greatest Common Factor
We found the factors 1481,9588 . The biggest common factor number is the GCF number.
So the greatest common factor 1481,9588 is 1.
Lets's calculate LCM of 63,556
Given numbers has no common factors except 1. So, there LCM is their product i.e 35028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35028
Therefore, the GCF of Fractions 1481/63,9588/556 is 1/35028
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 63,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,556) x common factors =1 x 1 = 1
LCM(63,556) = ( 63 × 556 ) / 1
LCM(63,556) = 35028 / 1
LCM(63,556) = 35028
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 1481/63, 9588/556?
Answer: GCF of Numerators as per given numbers 1481/63, 9588/556 is
GCF of Numerators i.e. for 1481,9588 is 1
LCM of denominators i.e. for 63,556 is 35028.
Thus, GCF of Fractions is 1/35028.Finally, GCF of Fractions for 1481/63, 9588/556 is 1/35028.