Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9651/148,9545/377
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 9651,9545
Greatest Common Factor of Numerators i.e. GCF of 9651,9545 is 1 .
LCM of Denominators means LCM of 148,377 as per the given fractions.
LCM of 148,377 is 55796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9651,9545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9651
List of positive integer factors of 9651 that divides 9651 without a remainder.
1,3,3217,9651
Factors of 9545
List of positive integer factors of 9545 that divides 9545 without a remainder.
1,5,23,83,115,415,1909,9545
Greatest Common Factor
We found the factors 9651,9545 . The biggest common factor number is the GCF number.
So the greatest common factor 9651,9545 is 1.
Lets's calculate LCM of 148,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 55796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55796
Therefore, the GCF of Fractions 9651/148,9545/377 is 1/55796
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 148,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,377) x common factors =1 x 1 = 1
LCM(148,377) = ( 148 × 377 ) / 1
LCM(148,377) = 55796 / 1
LCM(148,377) = 55796
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 9651/148, 9545/377?
Answer: GCF of Numerators as per given numbers 9651/148, 9545/377 is
GCF of Numerators i.e. for 9651,9545 is 1
LCM of denominators i.e. for 148,377 is 55796.
Thus, GCF of Fractions is 1/55796.Finally, GCF of Fractions for 9651/148, 9545/377 is 1/55796.