Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2895/935,8058/3479
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 2895,8058
Greatest Common Factor of Numerators i.e. GCF of 2895,8058 is 3 .
LCM of Denominators means LCM of 935,3479 as per the given fractions.
LCM of 935,3479 is 3252865 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2895,8058
3 | 2895, 8058 |
965, 2686 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2895
List of positive integer factors of 2895 that divides 2895 without a remainder.
1,3,5,15,193,579,965,2895
Factors of 8058
List of positive integer factors of 8058 that divides 8058 without a remainder.
1,2,3,6,17,34,51,79,102,158,237,474,1343,2686,4029,8058
Greatest Common Factor
We found the factors 2895,8058 . The biggest common factor number is the GCF number.
So the greatest common factor 2895,8058 is 3.
Lets's calculate LCM of 935,3479
Given numbers has no common factors except 1. So, there LCM is their product i.e 3252865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3252865
Therefore, the GCF of Fractions 2895/935,8058/3479 is 3/3252865
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 935,3479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,3479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,3479) x common factors =1 x 1 = 1
LCM(935,3479) = ( 935 × 3479 ) / 1
LCM(935,3479) = 3252865 / 1
LCM(935,3479) = 3252865
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 2895/935, 8058/3479?
Answer: GCF of Numerators as per given numbers 2895/935, 8058/3479 is
GCF of Numerators i.e. for 2895,8058 is 3
LCM of denominators i.e. for 935,3479 is 3252865.
Thus, GCF of Fractions is 3/3252865.Finally, GCF of Fractions for 2895/935, 8058/3479 is 3/3252865.