Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7960/346,6858/581
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 7960,6858
Greatest Common Factor of Numerators i.e. GCF of 7960,6858 is 2 .
LCM of Denominators means LCM of 346,581 as per the given fractions.
LCM of 346,581 is 201026 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7960,6858
2 | 7960, 6858 |
3980, 3429 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7960
List of positive integer factors of 7960 that divides 7960 without a remainder.
1,2,4,5,8,10,20,40,199,398,796,995,1592,1990,3980,7960
Factors of 6858
List of positive integer factors of 6858 that divides 6858 without a remainder.
1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858
Greatest Common Factor
We found the factors 7960,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 7960,6858 is 2.
Lets's calculate LCM of 346,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 201026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/201026
Therefore, the GCF of Fractions 7960/346,6858/581 is 2/201026
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 346,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,581) x common factors =1 x 1 = 1
LCM(346,581) = ( 346 × 581 ) / 1
LCM(346,581) = 201026 / 1
LCM(346,581) = 201026
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 7960/346, 6858/581?
Answer: GCF of Numerators as per given numbers 7960/346, 6858/581 is
GCF of Numerators i.e. for 7960,6858 is 2
LCM of denominators i.e. for 346,581 is 201026.
Thus, GCF of Fractions is 2/201026.Finally, GCF of Fractions for 7960/346, 6858/581 is 2/201026.