Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9915/729,6258/767
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 9915,6258
Greatest Common Factor of Numerators i.e. GCF of 9915,6258 is 3 .
LCM of Denominators means LCM of 729,767 as per the given fractions.
LCM of 729,767 is 559143 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9915,6258
3 | 9915, 6258 |
3305, 2086 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9915
List of positive integer factors of 9915 that divides 9915 without a remainder.
1,3,5,15,661,1983,3305,9915
Factors of 6258
List of positive integer factors of 6258 that divides 6258 without a remainder.
1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258
Greatest Common Factor
We found the factors 9915,6258 . The biggest common factor number is the GCF number.
So the greatest common factor 9915,6258 is 3.
Lets's calculate LCM of 729,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 559143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/559143
Therefore, the GCF of Fractions 9915/729,6258/767 is 3/559143
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 729,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,767) x common factors =1 x 1 = 1
LCM(729,767) = ( 729 × 767 ) / 1
LCM(729,767) = 559143 / 1
LCM(729,767) = 559143
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 9915/729, 6258/767?
Answer: GCF of Numerators as per given numbers 9915/729, 6258/767 is
GCF of Numerators i.e. for 9915,6258 is 3
LCM of denominators i.e. for 729,767 is 559143.
Thus, GCF of Fractions is 3/559143.Finally, GCF of Fractions for 9915/729, 6258/767 is 3/559143.