Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9863/702,7471/2565
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 9863,7471
Greatest Common Factor of Numerators i.e. GCF of 9863,7471 is 1 .
LCM of Denominators means LCM of 702,2565 as per the given fractions.
LCM of 702,2565 is 66690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9863,7471
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9863
List of positive integer factors of 9863 that divides 9863 without a remainder.
1,7,1409,9863
Factors of 7471
List of positive integer factors of 7471 that divides 7471 without a remainder.
1,31,241,7471
Greatest Common Factor
We found the factors 9863,7471 . The biggest common factor number is the GCF number.
So the greatest common factor 9863,7471 is 1.
Lets's calculate LCM of 702,2565
3 | 702, 2565 |
3 | 234, 855 |
3 | 78, 285 |
26, 95 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 26 x 95 = 66690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66690
Therefore, the GCF of Fractions 9863/702,7471/2565 is 1/66690
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 702,2565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,2565) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(702,2565) x common factors =27 x 1 = 27
LCM(702,2565) = ( 702 × 2565 ) / 27
LCM(702,2565) = 1800630 / 27
LCM(702,2565) = 66690
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 9863/702, 7471/2565?
Answer: GCF of Numerators as per given numbers 9863/702, 7471/2565 is
GCF of Numerators i.e. for 9863,7471 is 1
LCM of denominators i.e. for 702,2565 is 66690.
Thus, GCF of Fractions is 1/66690.Finally, GCF of Fractions for 9863/702, 7471/2565 is 1/66690.