GCF of 783/17, 217/8838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 783/17, 217/8838 i.e 1/150246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 783/17, 217/8838.
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 783/17,217/8838?
Given fractions are 783/17,217/8838
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 783/17,217/8838, numerators are 783,217
Denominators are 17,8838
The GCF of 783,217 is 1 .
LCM of 17,8838 is 150246.
The greatest common factor of 783/17,217/8838 = [GCF of 783,217]/[LCM of 17,8838]= 1/150246
Therefore, the GCF of 783/17,217/8838 is 1/150246.
To find the highest common factor of 783,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The factors of 217 are 1, 7, 31, 217
The HCF of 783,217 is 1.
Lets's calculate GCF of 783,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 783,217 By Matching Biggest Common Factor Method
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 783,217 . The biggest common factor number is the GCF number.
So the greatest common factor 783,217 is 1.
Lets's calculate LCM of 17,8838
Given numbers has no common factors except 1. So, there LCM is their product i.e 150246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150246
Therefore, the GCF of Fractions 783/17,217/8838 is 1/150246
Least Common Multiple of 17,8838 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 17,8838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,8838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,8838) x common factors =1 x 1 = 1
LCM(17,8838) = ( 17 × 8838 ) / 1
LCM(17,8838) = 150246 / 1
LCM(17,8838) = 150246
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 783/17, 217/8838
1. What is the HCF of 783,217?
The HCF of 783,217 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 783/17, 217/8838?
Answer: GCF of Numerators as per given numbers 783/17, 217/8838 is
GCF of Numerators i.e. for 783,217 is 1
LCM of denominators i.e. for 17,8838 is 150246.
Thus, GCF of Fractions is 1/150246.Finally, GCF of Fractions for 783/17, 217/8838 is 1/150246.