GCF of 1882/717, 8271/1912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1882/717, 8271/1912 i.e 1/5736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1882/717, 8271/1912.
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 1882/717,8271/1912?
Given fractions are 1882/717,8271/1912
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 1882/717,8271/1912, numerators are 1882,8271
Denominators are 717,1912
The GCF of 1882,8271 is 1 .
LCM of 717,1912 is 5736.
The greatest common factor of 1882/717,8271/1912 = [GCF of 1882,8271]/[LCM of 717,1912]= 1/5736
Therefore, the GCF of 1882/717,8271/1912 is 1/5736.
To find the highest common factor of 1882,8271, we have to find the factors of both numbers and list the highest common factor.
The factors of 1882 are 1, 2, 941, 1882
The factors of 8271 are 1, 3, 9, 919, 2757, 8271
The HCF of 1882,8271 is 1.
Lets's calculate GCF of 1882,8271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1882,8271 By Matching Biggest Common Factor Method
Now, list down the factors of 1882
:1,2,941,1882
Now, list down the factors of 8271
:1,3,9,919,2757,8271
Greatest Common Factor
We found the factors 1882,8271 . The biggest common factor number is the GCF number.
So the greatest common factor 1882,8271 is 1.
Lets's calculate LCM of 717,1912
| 239 | 717, 1912 |
| 3, 8 |
∴ So the LCM of the given numbers is 239 x 3 x 8 = 5736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5736
Therefore, the GCF of Fractions 1882/717,8271/1912 is 1/5736
Least Common Multiple of 717,1912 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 717,1912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,1912) = 239
common factors(in case of two or more numbers have common factors) = 1
GCF(717,1912) x common factors =239 x 1 = 239
LCM(717,1912) = ( 717 × 1912 ) / 239
LCM(717,1912) = 1370904 / 239
LCM(717,1912) = 5736
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1882/717, 8271/1912
1. What is the HCF of 1882,8271?
The HCF of 1882,8271 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 1882/717, 8271/1912?
Answer: GCF of Numerators as per given numbers 1882/717, 8271/1912 is
GCF of Numerators i.e. for 1882,8271 is 1
LCM of denominators i.e. for 717,1912 is 5736.
Thus, GCF of Fractions is 1/5736.Finally, GCF of Fractions for 1882/717, 8271/1912 is 1/5736.