Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/45,11/282,350/687
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 52,11,350
Greatest Common Factor of Numerators i.e. GCF of 52,11,350 is 1 .
LCM of Denominators means LCM of 45,282,687 as per the given fractions.
LCM of 45,282,687 is 968670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,11,350
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 52,11,350 . The biggest common factor number is the GCF number.
So the greatest common factor 52,11,350 is 1.
Lets's calculate LCM of 45,282,687
3 | 45, 282, 687 |
15, 94, 229 |
∴ So the LCM of the given numbers is 3 x 15 x 94 x 229 = 968670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/968670
Therefore, the GCF of Fractions 52/45,11/282,350/687 is 1/968670
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 45,282,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,282,687) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(45,282,687) x common factors =3 x 3 = 9
LCM(45,282,687) = ( 45 × 282 × 687 ) / 9
LCM(45,282,687) = 8718030 / 9
LCM(45,282,687) = 968670
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 52/45, 11/282, 350/687?
Answer: GCF of Numerators as per given numbers 52/45, 11/282, 350/687 is
GCF of Numerators i.e. for 52,11,350 is 1
LCM of denominators i.e. for 45,282,687 is 968670.
Thus, GCF of Fractions is 1/968670.Finally, GCF of Fractions for 52/45, 11/282, 350/687 is 1/968670.