Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9575/935,6171/566
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 9575,6171
Greatest Common Factor of Numerators i.e. GCF of 9575,6171 is 1 .
LCM of Denominators means LCM of 935,566 as per the given fractions.
LCM of 935,566 is 529210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9575,6171
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9575
List of positive integer factors of 9575 that divides 9575 without a remainder.
1,5,25,383,1915,9575
Factors of 6171
List of positive integer factors of 6171 that divides 6171 without a remainder.
1,3,11,17,33,51,121,187,363,561,2057,6171
Greatest Common Factor
We found the factors 9575,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 9575,6171 is 1.
Lets's calculate LCM of 935,566
Given numbers has no common factors except 1. So, there LCM is their product i.e 529210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/529210
Therefore, the GCF of Fractions 9575/935,6171/566 is 1/529210
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 935,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,566) x common factors =1 x 1 = 1
LCM(935,566) = ( 935 × 566 ) / 1
LCM(935,566) = 529210 / 1
LCM(935,566) = 529210
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 9575/935, 6171/566?
Answer: GCF of Numerators as per given numbers 9575/935, 6171/566 is
GCF of Numerators i.e. for 9575,6171 is 1
LCM of denominators i.e. for 935,566 is 529210.
Thus, GCF of Fractions is 1/529210.Finally, GCF of Fractions for 9575/935, 6171/566 is 1/529210.