Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8234/21,1853/658
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 8234,1853
Greatest Common Factor of Numerators i.e. GCF of 8234,1853 is 1 .
LCM of Denominators means LCM of 21,658 as per the given fractions.
LCM of 21,658 is 1974 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8234,1853
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8234
List of positive integer factors of 8234 that divides 8234 without a remainder.
1,2,23,46,179,358,4117,8234
Factors of 1853
List of positive integer factors of 1853 that divides 1853 without a remainder.
1,17,109,1853
Greatest Common Factor
We found the factors 8234,1853 . The biggest common factor number is the GCF number.
So the greatest common factor 8234,1853 is 1.
Lets's calculate LCM of 21,658
7 | 21, 658 |
3, 94 |
∴ So the LCM of the given numbers is 7 x 3 x 94 = 1974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1974
Therefore, the GCF of Fractions 8234/21,1853/658 is 1/1974
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 21,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,658) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(21,658) x common factors =7 x 1 = 7
LCM(21,658) = ( 21 × 658 ) / 7
LCM(21,658) = 13818 / 7
LCM(21,658) = 1974
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 8234/21, 1853/658?
Answer: GCF of Numerators as per given numbers 8234/21, 1853/658 is
GCF of Numerators i.e. for 8234,1853 is 1
LCM of denominators i.e. for 21,658 is 1974.
Thus, GCF of Fractions is 1/1974.Finally, GCF of Fractions for 8234/21, 1853/658 is 1/1974.