Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9652/604,7533/6021
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 9652,7533
Greatest Common Factor of Numerators i.e. GCF of 9652,7533 is 1 .
LCM of Denominators means LCM of 604,6021 as per the given fractions.
LCM of 604,6021 is 3636684 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9652,7533
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9652
List of positive integer factors of 9652 that divides 9652 without a remainder.
1,2,4,19,38,76,127,254,508,2413,4826,9652
Factors of 7533
List of positive integer factors of 7533 that divides 7533 without a remainder.
1,3,9,27,31,81,93,243,279,837,2511,7533
Greatest Common Factor
We found the factors 9652,7533 . The biggest common factor number is the GCF number.
So the greatest common factor 9652,7533 is 1.
Lets's calculate LCM of 604,6021
Given numbers has no common factors except 1. So, there LCM is their product i.e 3636684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3636684
Therefore, the GCF of Fractions 9652/604,7533/6021 is 1/3636684
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 604,6021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,6021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(604,6021) x common factors =1 x 1 = 1
LCM(604,6021) = ( 604 × 6021 ) / 1
LCM(604,6021) = 3636684 / 1
LCM(604,6021) = 3636684
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 9652/604, 7533/6021?
Answer: GCF of Numerators as per given numbers 9652/604, 7533/6021 is
GCF of Numerators i.e. for 9652,7533 is 1
LCM of denominators i.e. for 604,6021 is 3636684.
Thus, GCF of Fractions is 1/3636684.Finally, GCF of Fractions for 9652/604, 7533/6021 is 1/3636684.