Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3085/826,6571/2606
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 3085,6571
Greatest Common Factor of Numerators i.e. GCF of 3085,6571 is 1 .
LCM of Denominators means LCM of 826,2606 as per the given fractions.
LCM of 826,2606 is 1076278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3085,6571
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3085
List of positive integer factors of 3085 that divides 3085 without a remainder.
1,5,617,3085
Factors of 6571
List of positive integer factors of 6571 that divides 6571 without a remainder.
1,6571
Greatest Common Factor
We found the factors 3085,6571 . The biggest common factor number is the GCF number.
So the greatest common factor 3085,6571 is 1.
Lets's calculate LCM of 826,2606
2 | 826, 2606 |
413, 1303 |
∴ So the LCM of the given numbers is 2 x 413 x 1303 = 1076278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1076278
Therefore, the GCF of Fractions 3085/826,6571/2606 is 1/1076278
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 826,2606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,2606) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,2606) x common factors =2 x 1 = 2
LCM(826,2606) = ( 826 × 2606 ) / 2
LCM(826,2606) = 2152556 / 2
LCM(826,2606) = 1076278
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 3085/826, 6571/2606?
Answer: GCF of Numerators as per given numbers 3085/826, 6571/2606 is
GCF of Numerators i.e. for 3085,6571 is 1
LCM of denominators i.e. for 826,2606 is 1076278.
Thus, GCF of Fractions is 1/1076278.Finally, GCF of Fractions for 3085/826, 6571/2606 is 1/1076278.