Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6610/85,7301/332
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 6610,7301
Greatest Common Factor of Numerators i.e. GCF of 6610,7301 is 1 .
LCM of Denominators means LCM of 85,332 as per the given fractions.
LCM of 85,332 is 28220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6610,7301
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6610
List of positive integer factors of 6610 that divides 6610 without a remainder.
1,2,5,10,661,1322,3305,6610
Factors of 7301
List of positive integer factors of 7301 that divides 7301 without a remainder.
1,7,49,149,1043,7301
Greatest Common Factor
We found the factors 6610,7301 . The biggest common factor number is the GCF number.
So the greatest common factor 6610,7301 is 1.
Lets's calculate LCM of 85,332
Given numbers has no common factors except 1. So, there LCM is their product i.e 28220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28220
Therefore, the GCF of Fractions 6610/85,7301/332 is 1/28220
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 85,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,332) x common factors =1 x 1 = 1
LCM(85,332) = ( 85 × 332 ) / 1
LCM(85,332) = 28220 / 1
LCM(85,332) = 28220
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 6610/85, 7301/332?
Answer: GCF of Numerators as per given numbers 6610/85, 7301/332 is
GCF of Numerators i.e. for 6610,7301 is 1
LCM of denominators i.e. for 85,332 is 28220.
Thus, GCF of Fractions is 1/28220.Finally, GCF of Fractions for 6610/85, 7301/332 is 1/28220.