Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6021/873,5101/201
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 6021,5101
Greatest Common Factor of Numerators i.e. GCF of 6021,5101 is 1 .
LCM of Denominators means LCM of 873,201 as per the given fractions.
LCM of 873,201 is 58491 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6021,5101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6021
List of positive integer factors of 6021 that divides 6021 without a remainder.
1,3,9,27,223,669,2007,6021
Factors of 5101
List of positive integer factors of 5101 that divides 5101 without a remainder.
1,5101
Greatest Common Factor
We found the factors 6021,5101 . The biggest common factor number is the GCF number.
So the greatest common factor 6021,5101 is 1.
Lets's calculate LCM of 873,201
3 | 873, 201 |
291, 67 |
∴ So the LCM of the given numbers is 3 x 291 x 67 = 58491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58491
Therefore, the GCF of Fractions 6021/873,5101/201 is 1/58491
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 873,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,201) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(873,201) x common factors =3 x 1 = 3
LCM(873,201) = ( 873 × 201 ) / 3
LCM(873,201) = 175473 / 3
LCM(873,201) = 58491
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 6021/873, 5101/201?
Answer: GCF of Numerators as per given numbers 6021/873, 5101/201 is
GCF of Numerators i.e. for 6021,5101 is 1
LCM of denominators i.e. for 873,201 is 58491.
Thus, GCF of Fractions is 1/58491.Finally, GCF of Fractions for 6021/873, 5101/201 is 1/58491.