Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1233/740,8652/883
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 1233,8652
Greatest Common Factor of Numerators i.e. GCF of 1233,8652 is 3 .
LCM of Denominators means LCM of 740,883 as per the given fractions.
LCM of 740,883 is 653420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1233,8652
3 | 1233, 8652 |
411, 2884 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1233
List of positive integer factors of 1233 that divides 1233 without a remainder.
1,3,9,137,411,1233
Factors of 8652
List of positive integer factors of 8652 that divides 8652 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652
Greatest Common Factor
We found the factors 1233,8652 . The biggest common factor number is the GCF number.
So the greatest common factor 1233,8652 is 3.
Lets's calculate LCM of 740,883
Given numbers has no common factors except 1. So, there LCM is their product i.e 653420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/653420
Therefore, the GCF of Fractions 1233/740,8652/883 is 3/653420
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 740,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,883) x common factors =1 x 1 = 1
LCM(740,883) = ( 740 × 883 ) / 1
LCM(740,883) = 653420 / 1
LCM(740,883) = 653420
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 1233/740, 8652/883?
Answer: GCF of Numerators as per given numbers 1233/740, 8652/883 is
GCF of Numerators i.e. for 1233,8652 is 3
LCM of denominators i.e. for 740,883 is 653420.
Thus, GCF of Fractions is 3/653420.Finally, GCF of Fractions for 1233/740, 8652/883 is 3/653420.