Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 713/885,449/196,641/213
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 713,449,641
Greatest Common Factor of Numerators i.e. GCF of 713,449,641 is 1 .
LCM of Denominators means LCM of 885,196,213 as per the given fractions.
LCM of 885,196,213 is 12315660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 713,449,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 713,449,641 . The biggest common factor number is the GCF number.
So the greatest common factor 713,449,641 is 1.
Lets's calculate LCM of 885,196,213
3 | 885, 196, 213 |
295, 196, 71 |
∴ So the LCM of the given numbers is 3 x 295 x 196 x 71 = 12315660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12315660
Therefore, the GCF of Fractions 713/885,449/196,641/213 is 1/12315660
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 885,196,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,196,213) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(885,196,213) x common factors =1 x 3 = 3
LCM(885,196,213) = ( 885 × 196 × 213 ) / 3
LCM(885,196,213) = 36946980 / 3
LCM(885,196,213) = 12315660
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 713/885, 449/196, 641/213?
Answer: GCF of Numerators as per given numbers 713/885, 449/196, 641/213 is
GCF of Numerators i.e. for 713,449,641 is 1
LCM of denominators i.e. for 885,196,213 is 12315660.
Thus, GCF of Fractions is 1/12315660.Finally, GCF of Fractions for 713/885, 449/196, 641/213 is 1/12315660.