Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 844/28,349/6721
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 844,349
Greatest Common Factor of Numerators i.e. GCF of 844,349 is 1 .
LCM of Denominators means LCM of 28,6721 as per the given fractions.
LCM of 28,6721 is 188188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 844,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 844,349 . The biggest common factor number is the GCF number.
So the greatest common factor 844,349 is 1.
Lets's calculate LCM of 28,6721
Given numbers has no common factors except 1. So, there LCM is their product i.e 188188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188188
Therefore, the GCF of Fractions 844/28,349/6721 is 1/188188
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 28,6721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,6721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,6721) x common factors =1 x 1 = 1
LCM(28,6721) = ( 28 × 6721 ) / 1
LCM(28,6721) = 188188 / 1
LCM(28,6721) = 188188
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 844/28, 349/6721?
Answer: GCF of Numerators as per given numbers 844/28, 349/6721 is
GCF of Numerators i.e. for 844,349 is 1
LCM of denominators i.e. for 28,6721 is 188188.
Thus, GCF of Fractions is 1/188188.Finally, GCF of Fractions for 844/28, 349/6721 is 1/188188.