Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 401/778,552/923,447/334
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 401,552,447
Greatest Common Factor of Numerators i.e. GCF of 401,552,447 is 1 .
LCM of Denominators means LCM of 778,923,334 as per the given fractions.
LCM of 778,923,334 is 119921698 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 401,552,447
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Greatest Common Factor
We found the factors 401,552,447 . The biggest common factor number is the GCF number.
So the greatest common factor 401,552,447 is 1.
Lets's calculate LCM of 778,923,334
2 | 778, 923, 334 |
389, 923, 167 |
∴ So the LCM of the given numbers is 2 x 389 x 923 x 167 = 119921698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119921698
Therefore, the GCF of Fractions 401/778,552/923,447/334 is 1/119921698
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 778,923,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,923,334) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(778,923,334) x common factors =1 x 2 = 2
LCM(778,923,334) = ( 778 × 923 × 334 ) / 2
LCM(778,923,334) = 239843396 / 2
LCM(778,923,334) = 119921698
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 401/778, 552/923, 447/334?
Answer: GCF of Numerators as per given numbers 401/778, 552/923, 447/334 is
GCF of Numerators i.e. for 401,552,447 is 1
LCM of denominators i.e. for 778,923,334 is 119921698.
Thus, GCF of Fractions is 1/119921698.Finally, GCF of Fractions for 401/778, 552/923, 447/334 is 1/119921698.