Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3683/56,7211/404
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 3683,7211
Greatest Common Factor of Numerators i.e. GCF of 3683,7211 is 1 .
LCM of Denominators means LCM of 56,404 as per the given fractions.
LCM of 56,404 is 5656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3683,7211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3683
List of positive integer factors of 3683 that divides 3683 without a remainder.
1,29,127,3683
Factors of 7211
List of positive integer factors of 7211 that divides 7211 without a remainder.
1,7211
Greatest Common Factor
We found the factors 3683,7211 . The biggest common factor number is the GCF number.
So the greatest common factor 3683,7211 is 1.
Lets's calculate LCM of 56,404
2 | 56, 404 |
2 | 28, 202 |
14, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 14 x 101 = 5656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5656
Therefore, the GCF of Fractions 3683/56,7211/404 is 1/5656
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 56,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,404) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(56,404) x common factors =4 x 1 = 4
LCM(56,404) = ( 56 × 404 ) / 4
LCM(56,404) = 22624 / 4
LCM(56,404) = 5656
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 3683/56, 7211/404?
Answer: GCF of Numerators as per given numbers 3683/56, 7211/404 is
GCF of Numerators i.e. for 3683,7211 is 1
LCM of denominators i.e. for 56,404 is 5656.
Thus, GCF of Fractions is 1/5656.Finally, GCF of Fractions for 3683/56, 7211/404 is 1/5656.