Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7207/829,3481/9556
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 7207,3481
Greatest Common Factor of Numerators i.e. GCF of 7207,3481 is 1 .
LCM of Denominators means LCM of 829,9556 as per the given fractions.
LCM of 829,9556 is 7921924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7207,3481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7207
List of positive integer factors of 7207 that divides 7207 without a remainder.
1,7207
Factors of 3481
List of positive integer factors of 3481 that divides 3481 without a remainder.
1,59,3481
Greatest Common Factor
We found the factors 7207,3481 . The biggest common factor number is the GCF number.
So the greatest common factor 7207,3481 is 1.
Lets's calculate LCM of 829,9556
Given numbers has no common factors except 1. So, there LCM is their product i.e 7921924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7921924
Therefore, the GCF of Fractions 7207/829,3481/9556 is 1/7921924
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 829,9556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,9556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,9556) x common factors =1 x 1 = 1
LCM(829,9556) = ( 829 × 9556 ) / 1
LCM(829,9556) = 7921924 / 1
LCM(829,9556) = 7921924
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 7207/829, 3481/9556?
Answer: GCF of Numerators as per given numbers 7207/829, 3481/9556 is
GCF of Numerators i.e. for 7207,3481 is 1
LCM of denominators i.e. for 829,9556 is 7921924.
Thus, GCF of Fractions is 1/7921924.Finally, GCF of Fractions for 7207/829, 3481/9556 is 1/7921924.