Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 497/93,687/20,351/747
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 497,687,351
Greatest Common Factor of Numerators i.e. GCF of 497,687,351 is 1 .
LCM of Denominators means LCM of 93,20,747 as per the given fractions.
LCM of 93,20,747 is 463140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 497,687,351
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 497,687,351 . The biggest common factor number is the GCF number.
So the greatest common factor 497,687,351 is 1.
Lets's calculate LCM of 93,20,747
3 | 93, 20, 747 |
31, 20, 249 |
∴ So the LCM of the given numbers is 3 x 31 x 20 x 249 = 463140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/463140
Therefore, the GCF of Fractions 497/93,687/20,351/747 is 1/463140
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 93,20,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,20,747) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,20,747) x common factors =1 x 3 = 3
LCM(93,20,747) = ( 93 × 20 × 747 ) / 3
LCM(93,20,747) = 1389420 / 3
LCM(93,20,747) = 463140
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 497/93, 687/20, 351/747?
Answer: GCF of Numerators as per given numbers 497/93, 687/20, 351/747 is
GCF of Numerators i.e. for 497,687,351 is 1
LCM of denominators i.e. for 93,20,747 is 463140.
Thus, GCF of Fractions is 1/463140.Finally, GCF of Fractions for 497/93, 687/20, 351/747 is 1/463140.