Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5637/982,9693/3172
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 5637,9693
Greatest Common Factor of Numerators i.e. GCF of 5637,9693 is 3 .
LCM of Denominators means LCM of 982,3172 as per the given fractions.
LCM of 982,3172 is 1557452 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5637,9693
3 | 5637, 9693 |
1879, 3231 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5637
List of positive integer factors of 5637 that divides 5637 without a remainder.
1,3,1879,5637
Factors of 9693
List of positive integer factors of 9693 that divides 9693 without a remainder.
1,3,9,27,359,1077,3231,9693
Greatest Common Factor
We found the factors 5637,9693 . The biggest common factor number is the GCF number.
So the greatest common factor 5637,9693 is 3.
Lets's calculate LCM of 982,3172
2 | 982, 3172 |
491, 1586 |
∴ So the LCM of the given numbers is 2 x 491 x 1586 = 1557452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1557452
Therefore, the GCF of Fractions 5637/982,9693/3172 is 3/1557452
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 982,3172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,3172) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,3172) x common factors =2 x 1 = 2
LCM(982,3172) = ( 982 × 3172 ) / 2
LCM(982,3172) = 3114904 / 2
LCM(982,3172) = 1557452
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 5637/982, 9693/3172?
Answer: GCF of Numerators as per given numbers 5637/982, 9693/3172 is
GCF of Numerators i.e. for 5637,9693 is 3
LCM of denominators i.e. for 982,3172 is 1557452.
Thus, GCF of Fractions is 3/1557452.Finally, GCF of Fractions for 5637/982, 9693/3172 is 3/1557452.