Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/398,43/778,777/645
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 39,43,777
Greatest Common Factor of Numerators i.e. GCF of 39,43,777 is 1 .
LCM of Denominators means LCM of 398,778,645 as per the given fractions.
LCM of 398,778,645 is 99860190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,43,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 39,43,777 . The biggest common factor number is the GCF number.
So the greatest common factor 39,43,777 is 1.
Lets's calculate LCM of 398,778,645
2 | 398, 778, 645 |
199, 389, 645 |
∴ So the LCM of the given numbers is 2 x 199 x 389 x 645 = 99860190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99860190
Therefore, the GCF of Fractions 39/398,43/778,777/645 is 1/99860190
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 398,778,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,778,645) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(398,778,645) x common factors =1 x 2 = 2
LCM(398,778,645) = ( 398 × 778 × 645 ) / 2
LCM(398,778,645) = 199720380 / 2
LCM(398,778,645) = 99860190
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 39/398, 43/778, 777/645?
Answer: GCF of Numerators as per given numbers 39/398, 43/778, 777/645 is
GCF of Numerators i.e. for 39,43,777 is 1
LCM of denominators i.e. for 398,778,645 is 99860190.
Thus, GCF of Fractions is 1/99860190.Finally, GCF of Fractions for 39/398, 43/778, 777/645 is 1/99860190.