Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6765/926,2493/9573
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 6765,2493
Greatest Common Factor of Numerators i.e. GCF of 6765,2493 is 3 .
LCM of Denominators means LCM of 926,9573 as per the given fractions.
LCM of 926,9573 is 8864598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6765,2493
3 | 6765, 2493 |
2255, 831 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6765
List of positive integer factors of 6765 that divides 6765 without a remainder.
1,3,5,11,15,33,41,55,123,165,205,451,615,1353,2255,6765
Factors of 2493
List of positive integer factors of 2493 that divides 2493 without a remainder.
1,3,9,277,831,2493
Greatest Common Factor
We found the factors 6765,2493 . The biggest common factor number is the GCF number.
So the greatest common factor 6765,2493 is 3.
Lets's calculate LCM of 926,9573
Given numbers has no common factors except 1. So, there LCM is their product i.e 8864598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8864598
Therefore, the GCF of Fractions 6765/926,2493/9573 is 3/8864598
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 926,9573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,9573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(926,9573) x common factors =1 x 1 = 1
LCM(926,9573) = ( 926 × 9573 ) / 1
LCM(926,9573) = 8864598 / 1
LCM(926,9573) = 8864598
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 6765/926, 2493/9573?
Answer: GCF of Numerators as per given numbers 6765/926, 2493/9573 is
GCF of Numerators i.e. for 6765,2493 is 3
LCM of denominators i.e. for 926,9573 is 8864598.
Thus, GCF of Fractions is 3/8864598.Finally, GCF of Fractions for 6765/926, 2493/9573 is 3/8864598.