Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3681/985,3283/7773
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 3681,3283
Greatest Common Factor of Numerators i.e. GCF of 3681,3283 is 1 .
LCM of Denominators means LCM of 985,7773 as per the given fractions.
LCM of 985,7773 is 7656405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3681,3283
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3681
List of positive integer factors of 3681 that divides 3681 without a remainder.
1,3,9,409,1227,3681
Factors of 3283
List of positive integer factors of 3283 that divides 3283 without a remainder.
1,7,49,67,469,3283
Greatest Common Factor
We found the factors 3681,3283 . The biggest common factor number is the GCF number.
So the greatest common factor 3681,3283 is 1.
Lets's calculate LCM of 985,7773
Given numbers has no common factors except 1. So, there LCM is their product i.e 7656405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7656405
Therefore, the GCF of Fractions 3681/985,3283/7773 is 1/7656405
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 985,7773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,7773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,7773) x common factors =1 x 1 = 1
LCM(985,7773) = ( 985 × 7773 ) / 1
LCM(985,7773) = 7656405 / 1
LCM(985,7773) = 7656405
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 3681/985, 3283/7773?
Answer: GCF of Numerators as per given numbers 3681/985, 3283/7773 is
GCF of Numerators i.e. for 3681,3283 is 1
LCM of denominators i.e. for 985,7773 is 7656405.
Thus, GCF of Fractions is 1/7656405.Finally, GCF of Fractions for 3681/985, 3283/7773 is 1/7656405.