Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 418/717,1769/918
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 418,1769
Greatest Common Factor of Numerators i.e. GCF of 418,1769 is 1 .
LCM of Denominators means LCM of 717,918 as per the given fractions.
LCM of 717,918 is 219402 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 418,1769
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 1769
List of positive integer factors of 1769 that divides 1769 without a remainder.
1,29,61,1769
Greatest Common Factor
We found the factors 418,1769 . The biggest common factor number is the GCF number.
So the greatest common factor 418,1769 is 1.
Lets's calculate LCM of 717,918
3 | 717, 918 |
239, 306 |
∴ So the LCM of the given numbers is 3 x 239 x 306 = 219402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219402
Therefore, the GCF of Fractions 418/717,1769/918 is 1/219402
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 717,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,918) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,918) x common factors =3 x 1 = 3
LCM(717,918) = ( 717 × 918 ) / 3
LCM(717,918) = 658206 / 3
LCM(717,918) = 219402
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 418/717, 1769/918?
Answer: GCF of Numerators as per given numbers 418/717, 1769/918 is
GCF of Numerators i.e. for 418,1769 is 1
LCM of denominators i.e. for 717,918 is 219402.
Thus, GCF of Fractions is 1/219402.Finally, GCF of Fractions for 418/717, 1769/918 is 1/219402.