Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 833/975,1713/340
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 833,1713
Greatest Common Factor of Numerators i.e. GCF of 833,1713 is 1 .
LCM of Denominators means LCM of 975,340 as per the given fractions.
LCM of 975,340 is 66300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 833,1713
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 1713
List of positive integer factors of 1713 that divides 1713 without a remainder.
1,3,571,1713
Greatest Common Factor
We found the factors 833,1713 . The biggest common factor number is the GCF number.
So the greatest common factor 833,1713 is 1.
Lets's calculate LCM of 975,340
5 | 975, 340 |
195, 68 |
∴ So the LCM of the given numbers is 5 x 195 x 68 = 66300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66300
Therefore, the GCF of Fractions 833/975,1713/340 is 1/66300
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 975,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,340) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(975,340) x common factors =5 x 1 = 5
LCM(975,340) = ( 975 × 340 ) / 5
LCM(975,340) = 331500 / 5
LCM(975,340) = 66300
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 833/975, 1713/340?
Answer: GCF of Numerators as per given numbers 833/975, 1713/340 is
GCF of Numerators i.e. for 833,1713 is 1
LCM of denominators i.e. for 975,340 is 66300.
Thus, GCF of Fractions is 1/66300.Finally, GCF of Fractions for 833/975, 1713/340 is 1/66300.