Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 467/50,837/96,677/855
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 467,837,677
Greatest Common Factor of Numerators i.e. GCF of 467,837,677 is 1 .
LCM of Denominators means LCM of 50,96,855 as per the given fractions.
LCM of 50,96,855 is 136800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 467,837,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Greatest Common Factor
We found the factors 467,837,677 . The biggest common factor number is the GCF number.
So the greatest common factor 467,837,677 is 1.
Lets's calculate LCM of 50,96,855
2 | 50, 96, 855 |
3 | 25, 48, 855 |
5 | 25, 16, 285 |
5, 16, 57 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 16 x 57 = 136800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136800
Therefore, the GCF of Fractions 467/50,837/96,677/855 is 1/136800
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 50,96,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,96,855) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(50,96,855) x common factors =1 x 30 = 30
LCM(50,96,855) = ( 50 × 96 × 855 ) / 30
LCM(50,96,855) = 4104000 / 30
LCM(50,96,855) = 136800
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 467/50, 837/96, 677/855?
Answer: GCF of Numerators as per given numbers 467/50, 837/96, 677/855 is
GCF of Numerators i.e. for 467,837,677 is 1
LCM of denominators i.e. for 50,96,855 is 136800.
Thus, GCF of Fractions is 1/136800.Finally, GCF of Fractions for 467/50, 837/96, 677/855 is 1/136800.