Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 841/37,164/5709
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 841,164
Greatest Common Factor of Numerators i.e. GCF of 841,164 is 1 .
LCM of Denominators means LCM of 37,5709 as per the given fractions.
LCM of 37,5709 is 211233 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 841,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors 841,164 . The biggest common factor number is the GCF number.
So the greatest common factor 841,164 is 1.
Lets's calculate LCM of 37,5709
Given numbers has no common factors except 1. So, there LCM is their product i.e 211233
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211233
Therefore, the GCF of Fractions 841/37,164/5709 is 1/211233
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 37,5709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,5709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,5709) x common factors =1 x 1 = 1
LCM(37,5709) = ( 37 × 5709 ) / 1
LCM(37,5709) = 211233 / 1
LCM(37,5709) = 211233
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 841/37, 164/5709?
Answer: GCF of Numerators as per given numbers 841/37, 164/5709 is
GCF of Numerators i.e. for 841,164 is 1
LCM of denominators i.e. for 37,5709 is 211233.
Thus, GCF of Fractions is 1/211233.Finally, GCF of Fractions for 841/37, 164/5709 is 1/211233.