Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 373/20,626/35,385/357
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 373,626,385
Greatest Common Factor of Numerators i.e. GCF of 373,626,385 is 1 .
LCM of Denominators means LCM of 20,35,357 as per the given fractions.
LCM of 20,35,357 is 7140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 373,626,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 373,626,385 . The biggest common factor number is the GCF number.
So the greatest common factor 373,626,385 is 1.
Lets's calculate LCM of 20,35,357
5 | 20, 35, 357 |
7 | 4, 7, 357 |
4, 1, 51 |
∴ So the LCM of the given numbers is 5 x 7 x 4 x 1 x 51 = 7140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7140
Therefore, the GCF of Fractions 373/20,626/35,385/357 is 1/7140
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 20,35,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,35,357) = 1
common factors(in case of two or more numbers have common factors) = 35
GCF(20,35,357) x common factors =1 x 35 = 35
LCM(20,35,357) = ( 20 × 35 × 357 ) / 35
LCM(20,35,357) = 249900 / 35
LCM(20,35,357) = 7140
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 373/20, 626/35, 385/357?
Answer: GCF of Numerators as per given numbers 373/20, 626/35, 385/357 is
GCF of Numerators i.e. for 373,626,385 is 1
LCM of denominators i.e. for 20,35,357 is 7140.
Thus, GCF of Fractions is 1/7140.Finally, GCF of Fractions for 373/20, 626/35, 385/357 is 1/7140.