Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/791,484/700,357/353
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 90,484,357
Greatest Common Factor of Numerators i.e. GCF of 90,484,357 is 1 .
LCM of Denominators means LCM of 791,700,353 as per the given fractions.
LCM of 791,700,353 is 27922300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,484,357
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 90,484,357 . The biggest common factor number is the GCF number.
So the greatest common factor 90,484,357 is 1.
Lets's calculate LCM of 791,700,353
7 | 791, 700, 353 |
113, 100, 353 |
∴ So the LCM of the given numbers is 7 x 113 x 100 x 353 = 27922300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27922300
Therefore, the GCF of Fractions 90/791,484/700,357/353 is 1/27922300
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 791,700,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,700,353) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(791,700,353) x common factors =1 x 7 = 7
LCM(791,700,353) = ( 791 × 700 × 353 ) / 7
LCM(791,700,353) = 195456100 / 7
LCM(791,700,353) = 27922300
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 90/791, 484/700, 357/353?
Answer: GCF of Numerators as per given numbers 90/791, 484/700, 357/353 is
GCF of Numerators i.e. for 90,484,357 is 1
LCM of denominators i.e. for 791,700,353 is 27922300.
Thus, GCF of Fractions is 1/27922300.Finally, GCF of Fractions for 90/791, 484/700, 357/353 is 1/27922300.