Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9732/172,7778/9676
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 9732,7778
Greatest Common Factor of Numerators i.e. GCF of 9732,7778 is 2 .
LCM of Denominators means LCM of 172,9676 as per the given fractions.
LCM of 172,9676 is 416068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9732,7778
2 | 9732, 7778 |
4866, 3889 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9732
List of positive integer factors of 9732 that divides 9732 without a remainder.
1,2,3,4,6,12,811,1622,2433,3244,4866,9732
Factors of 7778
List of positive integer factors of 7778 that divides 7778 without a remainder.
1,2,3889,7778
Greatest Common Factor
We found the factors 9732,7778 . The biggest common factor number is the GCF number.
So the greatest common factor 9732,7778 is 2.
Lets's calculate LCM of 172,9676
2 | 172, 9676 |
2 | 86, 4838 |
43, 2419 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 2419 = 416068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/416068
Therefore, the GCF of Fractions 9732/172,7778/9676 is 2/416068
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 172,9676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,9676) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,9676) x common factors =4 x 1 = 4
LCM(172,9676) = ( 172 × 9676 ) / 4
LCM(172,9676) = 1664272 / 4
LCM(172,9676) = 416068
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 9732/172, 7778/9676?
Answer: GCF of Numerators as per given numbers 9732/172, 7778/9676 is
GCF of Numerators i.e. for 9732,7778 is 2
LCM of denominators i.e. for 172,9676 is 416068.
Thus, GCF of Fractions is 2/416068.Finally, GCF of Fractions for 9732/172, 7778/9676 is 2/416068.