Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6755/984,7563/8756
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 6755,7563
Greatest Common Factor of Numerators i.e. GCF of 6755,7563 is 1 .
LCM of Denominators means LCM of 984,8756 as per the given fractions.
LCM of 984,8756 is 2153976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6755,7563
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6755
List of positive integer factors of 6755 that divides 6755 without a remainder.
1,5,7,35,193,965,1351,6755
Factors of 7563
List of positive integer factors of 7563 that divides 7563 without a remainder.
1,3,2521,7563
Greatest Common Factor
We found the factors 6755,7563 . The biggest common factor number is the GCF number.
So the greatest common factor 6755,7563 is 1.
Lets's calculate LCM of 984,8756
2 | 984, 8756 |
2 | 492, 4378 |
246, 2189 |
∴ So the LCM of the given numbers is 2 x 2 x 246 x 2189 = 2153976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2153976
Therefore, the GCF of Fractions 6755/984,7563/8756 is 1/2153976
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 984,8756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,8756) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(984,8756) x common factors =4 x 1 = 4
LCM(984,8756) = ( 984 × 8756 ) / 4
LCM(984,8756) = 8615904 / 4
LCM(984,8756) = 2153976
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 6755/984, 7563/8756?
Answer: GCF of Numerators as per given numbers 6755/984, 7563/8756 is
GCF of Numerators i.e. for 6755,7563 is 1
LCM of denominators i.e. for 984,8756 is 2153976.
Thus, GCF of Fractions is 1/2153976.Finally, GCF of Fractions for 6755/984, 7563/8756 is 1/2153976.