Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 571/75,290/8457
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 571,290
Greatest Common Factor of Numerators i.e. GCF of 571,290 is 1 .
LCM of Denominators means LCM of 75,8457 as per the given fractions.
LCM of 75,8457 is 211425 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 571,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 571,290 . The biggest common factor number is the GCF number.
So the greatest common factor 571,290 is 1.
Lets's calculate LCM of 75,8457
3 | 75, 8457 |
25, 2819 |
∴ So the LCM of the given numbers is 3 x 25 x 2819 = 211425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211425
Therefore, the GCF of Fractions 571/75,290/8457 is 1/211425
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 75,8457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,8457) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,8457) x common factors =3 x 1 = 3
LCM(75,8457) = ( 75 × 8457 ) / 3
LCM(75,8457) = 634275 / 3
LCM(75,8457) = 211425
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 571/75, 290/8457?
Answer: GCF of Numerators as per given numbers 571/75, 290/8457 is
GCF of Numerators i.e. for 571,290 is 1
LCM of denominators i.e. for 75,8457 is 211425.
Thus, GCF of Fractions is 1/211425.Finally, GCF of Fractions for 571/75, 290/8457 is 1/211425.