Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9145/759,7883/3897
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 9145,7883
Greatest Common Factor of Numerators i.e. GCF of 9145,7883 is 1 .
LCM of Denominators means LCM of 759,3897 as per the given fractions.
LCM of 759,3897 is 985941 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9145,7883
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9145
List of positive integer factors of 9145 that divides 9145 without a remainder.
1,5,31,59,155,295,1829,9145
Factors of 7883
List of positive integer factors of 7883 that divides 7883 without a remainder.
1,7883
Greatest Common Factor
We found the factors 9145,7883 . The biggest common factor number is the GCF number.
So the greatest common factor 9145,7883 is 1.
Lets's calculate LCM of 759,3897
3 | 759, 3897 |
253, 1299 |
∴ So the LCM of the given numbers is 3 x 253 x 1299 = 985941
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/985941
Therefore, the GCF of Fractions 9145/759,7883/3897 is 1/985941
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 759,3897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,3897) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,3897) x common factors =3 x 1 = 3
LCM(759,3897) = ( 759 × 3897 ) / 3
LCM(759,3897) = 2957823 / 3
LCM(759,3897) = 985941
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 9145/759, 7883/3897?
Answer: GCF of Numerators as per given numbers 9145/759, 7883/3897 is
GCF of Numerators i.e. for 9145,7883 is 1
LCM of denominators i.e. for 759,3897 is 985941.
Thus, GCF of Fractions is 1/985941.Finally, GCF of Fractions for 9145/759, 7883/3897 is 1/985941.