Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6213/71,1292/872
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 6213,1292
Greatest Common Factor of Numerators i.e. GCF of 6213,1292 is 19 .
LCM of Denominators means LCM of 71,872 as per the given fractions.
LCM of 71,872 is 61912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6213,1292
19 | 6213, 1292 |
327, 68 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 6213
List of positive integer factors of 6213 that divides 6213 without a remainder.
1,3,19,57,109,327,2071,6213
Factors of 1292
List of positive integer factors of 1292 that divides 1292 without a remainder.
1,2,4,17,19,34,38,68,76,323,646,1292
Greatest Common Factor
We found the factors 6213,1292 . The biggest common factor number is the GCF number.
So the greatest common factor 6213,1292 is 19.
Lets's calculate LCM of 71,872
Given numbers has no common factors except 1. So, there LCM is their product i.e 61912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/61912
Therefore, the GCF of Fractions 6213/71,1292/872 is 19/61912
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 71,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,872) x common factors =1 x 1 = 1
LCM(71,872) = ( 71 × 872 ) / 1
LCM(71,872) = 61912 / 1
LCM(71,872) = 61912
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 6213/71, 1292/872?
Answer: GCF of Numerators as per given numbers 6213/71, 1292/872 is
GCF of Numerators i.e. for 6213,1292 is 19
LCM of denominators i.e. for 71,872 is 61912.
Thus, GCF of Fractions is 19/61912.Finally, GCF of Fractions for 6213/71, 1292/872 is 19/61912.