GCF of 110/891, 283/551, 519/873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 110/891, 283/551, 519/873 i.e 1/47621277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/891, 283/551, 519/873.
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 110/891,283/551,519/873?
Given fractions are 110/891,283/551,519/873
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 110/891,283/551,519/873, numerators are 110,283,519
Denominators are 891,551,873
The GCF of 110,283,519 is 1 .
LCM of 891,551,873 is 47621277.
The greatest common factor of 110/891,283/551,519/873 = [GCF of 110,283,519]/[LCM of 891,551,873]= 1/47621277
Therefore, the GCF of 110/891,283/551,519/873 is 1/47621277.
To find the highest common factor of 110,283,519, we have to find the factors of both numbers and list the highest common factor.
The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110
The factors of 283 are 1, 283
The factors of 519 are 1, 3, 173, 519
The HCF of 110,283,519 is 1.
Lets's calculate GCF of 110,283,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 110,283,519 By Matching Biggest Common Factor Method
Now, list down the factors of 110
:1,2,5,10,11,22,55,110
Now, list down the factors of 283
:1,283
Now, list down the factors of 519
:1,3,173,519
Greatest Common Factor
We found the factors 110,283,519 . The biggest common factor number is the GCF number.
So the greatest common factor 110,283,519 is 1.
Lets's calculate LCM of 891,551,873
| 3 | 891, 551, 873 |
| 3 | 297, 551, 291 |
| 99, 551, 97 |
∴ So the LCM of the given numbers is 3 x 3 x 99 x 551 x 97 = 47621277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47621277
Therefore, the GCF of Fractions 110/891,283/551,519/873 is 1/47621277
Least Common Multiple of 891,551,873 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 891,551,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,551,873) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(891,551,873) x common factors =1 x 9 = 9
LCM(891,551,873) = ( 891 × 551 × 873 ) / 9
LCM(891,551,873) = 428591493 / 9
LCM(891,551,873) = 47621277
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 110/891, 283/551, 519/873
1. What is the HCF of 110,283,519?
The HCF of 110,283,519 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 110/891, 283/551, 519/873?
Answer: GCF of Numerators as per given numbers 110/891, 283/551, 519/873 is
GCF of Numerators i.e. for 110,283,519 is 1
LCM of denominators i.e. for 891,551,873 is 47621277.
Thus, GCF of Fractions is 1/47621277.Finally, GCF of Fractions for 110/891, 283/551, 519/873 is 1/47621277.