Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3668/643,3626/1840
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 3668,3626
Greatest Common Factor of Numerators i.e. GCF of 3668,3626 is 14 .
LCM of Denominators means LCM of 643,1840 as per the given fractions.
LCM of 643,1840 is 1183120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3668,3626
2 | 3668, 3626 |
7 | 1834, 1813 |
262, 259 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 3668
List of positive integer factors of 3668 that divides 3668 without a remainder.
1,2,4,7,14,28,131,262,524,917,1834,3668
Factors of 3626
List of positive integer factors of 3626 that divides 3626 without a remainder.
1,2,7,14,37,49,74,98,259,518,1813,3626
Greatest Common Factor
We found the factors 3668,3626 . The biggest common factor number is the GCF number.
So the greatest common factor 3668,3626 is 14.
Lets's calculate LCM of 643,1840
Given numbers has no common factors except 1. So, there LCM is their product i.e 1183120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1183120
Therefore, the GCF of Fractions 3668/643,3626/1840 is 14/1183120
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 643,1840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,1840) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,1840) x common factors =1 x 1 = 1
LCM(643,1840) = ( 643 × 1840 ) / 1
LCM(643,1840) = 1183120 / 1
LCM(643,1840) = 1183120
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 3668/643, 3626/1840?
Answer: GCF of Numerators as per given numbers 3668/643, 3626/1840 is
GCF of Numerators i.e. for 3668,3626 is 14
LCM of denominators i.e. for 643,1840 is 1183120.
Thus, GCF of Fractions is 14/1183120.Finally, GCF of Fractions for 3668/643, 3626/1840 is 14/1183120.