GCF of 1303/217, 6674/358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1303/217, 6674/358 i.e 1/77686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1303/217, 6674/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1303/217,6674/358?
Given fractions are 1303/217,6674/358
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1303/217,6674/358, numerators are 1303,6674
Denominators are 217,358
The GCF of 1303,6674 is 1 .
LCM of 217,358 is 77686.
The greatest common factor of 1303/217,6674/358 = [GCF of 1303,6674]/[LCM of 217,358]= 1/77686
Therefore, the GCF of 1303/217,6674/358 is 1/77686.
To find the highest common factor of 1303,6674, we have to find the factors of both numbers and list the highest common factor.
The factors of 1303 are 1, 1303
The factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674
The HCF of 1303,6674 is 1.
Lets's calculate GCF of 1303,6674
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1303,6674 By Matching Biggest Common Factor Method
Now, list down the factors of 1303
:1,1303
Now, list down the factors of 6674
:1,2,47,71,94,142,3337,6674
Greatest Common Factor
We found the factors 1303,6674 . The biggest common factor number is the GCF number.
So the greatest common factor 1303,6674 is 1.
Lets's calculate LCM of 217,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 77686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77686
Therefore, the GCF of Fractions 1303/217,6674/358 is 1/77686
Least Common Multiple of 217,358 with GCF Formula
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 217,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,358) x common factors =1 x 1 = 1
LCM(217,358) = ( 217 × 358 ) / 1
LCM(217,358) = 77686 / 1
LCM(217,358) = 77686
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1303/217, 6674/358
1. What is the HCF of 1303,6674?
The HCF of 1303,6674 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 1303/217, 6674/358?
Answer: GCF of Numerators as per given numbers 1303/217, 6674/358 is
GCF of Numerators i.e. for 1303,6674 is 1
LCM of denominators i.e. for 217,358 is 77686.
Thus, GCF of Fractions is 1/77686.Finally, GCF of Fractions for 1303/217, 6674/358 is 1/77686.