Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 856/1330,341/2022
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 856,341
Greatest Common Factor of Numerators i.e. GCF of 856,341 is 1 .
LCM of Denominators means LCM of 1330,2022 as per the given fractions.
LCM of 1330,2022 is 1344630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 856,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 856,341 . The biggest common factor number is the GCF number.
So the greatest common factor 856,341 is 1.
Lets's calculate LCM of 1330,2022
2 | 1330, 2022 |
665, 1011 |
∴ So the LCM of the given numbers is 2 x 665 x 1011 = 1344630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1344630
Therefore, the GCF of Fractions 856/1330,341/2022 is 1/1344630
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 1330,2022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1330,2022) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1330,2022) x common factors =2 x 1 = 2
LCM(1330,2022) = ( 1330 × 2022 ) / 2
LCM(1330,2022) = 2689260 / 2
LCM(1330,2022) = 1344630
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 856/1330, 341/2022?
Answer: GCF of Numerators as per given numbers 856/1330, 341/2022 is
GCF of Numerators i.e. for 856,341 is 1
LCM of denominators i.e. for 1330,2022 is 1344630.
Thus, GCF of Fractions is 1/1344630.Finally, GCF of Fractions for 856/1330, 341/2022 is 1/1344630.