Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 839/32,307/86,110/602
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 839,307,110
Greatest Common Factor of Numerators i.e. GCF of 839,307,110 is 1 .
LCM of Denominators means LCM of 32,86,602 as per the given fractions.
LCM of 32,86,602 is 9632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 839,307,110
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 839,307,110 . The biggest common factor number is the GCF number.
So the greatest common factor 839,307,110 is 1.
Lets's calculate LCM of 32,86,602
2 | 32, 86, 602 |
43 | 16, 43, 301 |
16, 1, 7 |
∴ So the LCM of the given numbers is 2 x 43 x 16 x 1 x 7 = 9632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9632
Therefore, the GCF of Fractions 839/32,307/86,110/602 is 1/9632
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 32,86,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,86,602) = 2
common factors(in case of two or more numbers have common factors) = 86
GCF(32,86,602) x common factors =2 x 86 = 172
LCM(32,86,602) = ( 32 × 86 × 602 ) / 172
LCM(32,86,602) = 1656704 / 172
LCM(32,86,602) = 9632
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 839/32, 307/86, 110/602?
Answer: GCF of Numerators as per given numbers 839/32, 307/86, 110/602 is
GCF of Numerators i.e. for 839,307,110 is 1
LCM of denominators i.e. for 32,86,602 is 9632.
Thus, GCF of Fractions is 1/9632.Finally, GCF of Fractions for 839/32, 307/86, 110/602 is 1/9632.