Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 652/91,6194/871
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 652,6194
Greatest Common Factor of Numerators i.e. GCF of 652,6194 is 326 .
LCM of Denominators means LCM of 91,871 as per the given fractions.
LCM of 91,871 is 6097 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 652,6194
2 | 652, 6194 |
163 | 326, 3097 |
2, 19 |
∴ So the GCF of the given numbers is 2 x 163 = 326
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 6194
List of positive integer factors of 6194 that divides 6194 without a remainder.
1,2,19,38,163,326,3097,6194
Greatest Common Factor
We found the factors 652,6194 . The biggest common factor number is the GCF number.
So the greatest common factor 652,6194 is 326.
Lets's calculate LCM of 91,871
13 | 91, 871 |
7, 67 |
∴ So the LCM of the given numbers is 13 x 7 x 67 = 6097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 326/6097
Therefore, the GCF of Fractions 652/91,6194/871 is 326/6097
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 91,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,871) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(91,871) x common factors =13 x 1 = 13
LCM(91,871) = ( 91 × 871 ) / 13
LCM(91,871) = 79261 / 13
LCM(91,871) = 6097
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 652/91, 6194/871?
Answer: GCF of Numerators as per given numbers 652/91, 6194/871 is
GCF of Numerators i.e. for 652,6194 is 326
LCM of denominators i.e. for 91,871 is 6097.
Thus, GCF of Fractions is 326/6097.Finally, GCF of Fractions for 652/91, 6194/871 is 326/6097.