Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6326/83,1771/812
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 6326,1771
Greatest Common Factor of Numerators i.e. GCF of 6326,1771 is 1 .
LCM of Denominators means LCM of 83,812 as per the given fractions.
LCM of 83,812 is 67396 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6326,1771
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6326
List of positive integer factors of 6326 that divides 6326 without a remainder.
1,2,3163,6326
Factors of 1771
List of positive integer factors of 1771 that divides 1771 without a remainder.
1,7,11,23,77,161,253,1771
Greatest Common Factor
We found the factors 6326,1771 . The biggest common factor number is the GCF number.
So the greatest common factor 6326,1771 is 1.
Lets's calculate LCM of 83,812
Given numbers has no common factors except 1. So, there LCM is their product i.e 67396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67396
Therefore, the GCF of Fractions 6326/83,1771/812 is 1/67396
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 83,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,812) x common factors =1 x 1 = 1
LCM(83,812) = ( 83 × 812 ) / 1
LCM(83,812) = 67396 / 1
LCM(83,812) = 67396
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 6326/83, 1771/812?
Answer: GCF of Numerators as per given numbers 6326/83, 1771/812 is
GCF of Numerators i.e. for 6326,1771 is 1
LCM of denominators i.e. for 83,812 is 67396.
Thus, GCF of Fractions is 1/67396.Finally, GCF of Fractions for 6326/83, 1771/812 is 1/67396.