Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/82,7397/772
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 663,7397
Greatest Common Factor of Numerators i.e. GCF of 663,7397 is 13 .
LCM of Denominators means LCM of 82,772 as per the given fractions.
LCM of 82,772 is 31652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,7397
13 | 663, 7397 |
51, 569 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 7397
List of positive integer factors of 7397 that divides 7397 without a remainder.
1,13,569,7397
Greatest Common Factor
We found the factors 663,7397 . The biggest common factor number is the GCF number.
So the greatest common factor 663,7397 is 13.
Lets's calculate LCM of 82,772
2 | 82, 772 |
41, 386 |
∴ So the LCM of the given numbers is 2 x 41 x 386 = 31652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/31652
Therefore, the GCF of Fractions 663/82,7397/772 is 13/31652
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 82,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,772) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,772) x common factors =2 x 1 = 2
LCM(82,772) = ( 82 × 772 ) / 2
LCM(82,772) = 63304 / 2
LCM(82,772) = 31652
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 663/82, 7397/772?
Answer: GCF of Numerators as per given numbers 663/82, 7397/772 is
GCF of Numerators i.e. for 663,7397 is 13
LCM of denominators i.e. for 82,772 is 31652.
Thus, GCF of Fractions is 13/31652.Finally, GCF of Fractions for 663/82, 7397/772 is 13/31652.