Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9562/77,9503/323
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 9562,9503
Greatest Common Factor of Numerators i.e. GCF of 9562,9503 is 1 .
LCM of Denominators means LCM of 77,323 as per the given fractions.
LCM of 77,323 is 24871 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9562,9503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9562
List of positive integer factors of 9562 that divides 9562 without a remainder.
1,2,7,14,683,1366,4781,9562
Factors of 9503
List of positive integer factors of 9503 that divides 9503 without a remainder.
1,13,17,43,221,559,731,9503
Greatest Common Factor
We found the factors 9562,9503 . The biggest common factor number is the GCF number.
So the greatest common factor 9562,9503 is 1.
Lets's calculate LCM of 77,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 24871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24871
Therefore, the GCF of Fractions 9562/77,9503/323 is 1/24871
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 77,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,323) x common factors =1 x 1 = 1
LCM(77,323) = ( 77 × 323 ) / 1
LCM(77,323) = 24871 / 1
LCM(77,323) = 24871
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 9562/77, 9503/323?
Answer: GCF of Numerators as per given numbers 9562/77, 9503/323 is
GCF of Numerators i.e. for 9562,9503 is 1
LCM of denominators i.e. for 77,323 is 24871.
Thus, GCF of Fractions is 1/24871.Finally, GCF of Fractions for 9562/77, 9503/323 is 1/24871.