Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3211/459,6262/2799
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 3211,6262
Greatest Common Factor of Numerators i.e. GCF of 3211,6262 is 1 .
LCM of Denominators means LCM of 459,2799 as per the given fractions.
LCM of 459,2799 is 142749 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3211,6262
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3211
List of positive integer factors of 3211 that divides 3211 without a remainder.
1,13,19,169,247,3211
Factors of 6262
List of positive integer factors of 6262 that divides 6262 without a remainder.
1,2,31,62,101,202,3131,6262
Greatest Common Factor
We found the factors 3211,6262 . The biggest common factor number is the GCF number.
So the greatest common factor 3211,6262 is 1.
Lets's calculate LCM of 459,2799
3 | 459, 2799 |
3 | 153, 933 |
51, 311 |
∴ So the LCM of the given numbers is 3 x 3 x 51 x 311 = 142749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142749
Therefore, the GCF of Fractions 3211/459,6262/2799 is 1/142749
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 459,2799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,2799) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(459,2799) x common factors =9 x 1 = 9
LCM(459,2799) = ( 459 × 2799 ) / 9
LCM(459,2799) = 1284741 / 9
LCM(459,2799) = 142749
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 3211/459, 6262/2799?
Answer: GCF of Numerators as per given numbers 3211/459, 6262/2799 is
GCF of Numerators i.e. for 3211,6262 is 1
LCM of denominators i.e. for 459,2799 is 142749.
Thus, GCF of Fractions is 1/142749.Finally, GCF of Fractions for 3211/459, 6262/2799 is 1/142749.