Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 903/7522,592/9443
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 903,592
Greatest Common Factor of Numerators i.e. GCF of 903,592 is 1 .
LCM of Denominators means LCM of 7522,9443 as per the given fractions.
LCM of 7522,9443 is 71030246 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 903,592
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 903,592 . The biggest common factor number is the GCF number.
So the greatest common factor 903,592 is 1.
Lets's calculate LCM of 7522,9443
Given numbers has no common factors except 1. So, there LCM is their product i.e 71030246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71030246
Therefore, the GCF of Fractions 903/7522,592/9443 is 1/71030246
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 7522,9443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7522,9443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7522,9443) x common factors =1 x 1 = 1
LCM(7522,9443) = ( 7522 × 9443 ) / 1
LCM(7522,9443) = 71030246 / 1
LCM(7522,9443) = 71030246
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 903/7522, 592/9443?
Answer: GCF of Numerators as per given numbers 903/7522, 592/9443 is
GCF of Numerators i.e. for 903,592 is 1
LCM of denominators i.e. for 7522,9443 is 71030246.
Thus, GCF of Fractions is 1/71030246.Finally, GCF of Fractions for 903/7522, 592/9443 is 1/71030246.