Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6795/471,9206/7276
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 6795,9206
Greatest Common Factor of Numerators i.e. GCF of 6795,9206 is 1 .
LCM of Denominators means LCM of 471,7276 as per the given fractions.
LCM of 471,7276 is 3426996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6795,9206
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6795
List of positive integer factors of 6795 that divides 6795 without a remainder.
1,3,5,9,15,45,151,453,755,1359,2265,6795
Factors of 9206
List of positive integer factors of 9206 that divides 9206 without a remainder.
1,2,4603,9206
Greatest Common Factor
We found the factors 6795,9206 . The biggest common factor number is the GCF number.
So the greatest common factor 6795,9206 is 1.
Lets's calculate LCM of 471,7276
Given numbers has no common factors except 1. So, there LCM is their product i.e 3426996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3426996
Therefore, the GCF of Fractions 6795/471,9206/7276 is 1/3426996
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 471,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,7276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,7276) x common factors =1 x 1 = 1
LCM(471,7276) = ( 471 × 7276 ) / 1
LCM(471,7276) = 3426996 / 1
LCM(471,7276) = 3426996
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 6795/471, 9206/7276?
Answer: GCF of Numerators as per given numbers 6795/471, 9206/7276 is
GCF of Numerators i.e. for 6795,9206 is 1
LCM of denominators i.e. for 471,7276 is 3426996.
Thus, GCF of Fractions is 1/3426996.Finally, GCF of Fractions for 6795/471, 9206/7276 is 1/3426996.