Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9243/835,9272/8623
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 9243,9272
Greatest Common Factor of Numerators i.e. GCF of 9243,9272 is 1 .
LCM of Denominators means LCM of 835,8623 as per the given fractions.
LCM of 835,8623 is 7200205 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9243,9272
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9243
List of positive integer factors of 9243 that divides 9243 without a remainder.
1,3,9,13,39,79,117,237,711,1027,3081,9243
Factors of 9272
List of positive integer factors of 9272 that divides 9272 without a remainder.
1,2,4,8,19,38,61,76,122,152,244,488,1159,2318,4636,9272
Greatest Common Factor
We found the factors 9243,9272 . The biggest common factor number is the GCF number.
So the greatest common factor 9243,9272 is 1.
Lets's calculate LCM of 835,8623
Given numbers has no common factors except 1. So, there LCM is their product i.e 7200205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7200205
Therefore, the GCF of Fractions 9243/835,9272/8623 is 1/7200205
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 835,8623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,8623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,8623) x common factors =1 x 1 = 1
LCM(835,8623) = ( 835 × 8623 ) / 1
LCM(835,8623) = 7200205 / 1
LCM(835,8623) = 7200205
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 9243/835, 9272/8623?
Answer: GCF of Numerators as per given numbers 9243/835, 9272/8623 is
GCF of Numerators i.e. for 9243,9272 is 1
LCM of denominators i.e. for 835,8623 is 7200205.
Thus, GCF of Fractions is 1/7200205.Finally, GCF of Fractions for 9243/835, 9272/8623 is 1/7200205.