GCF of 996/887, 383/209, 170/911
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 996/887, 383/209, 170/911 i.e 1/168883913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/887, 383/209, 170/911.
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 996/887,383/209,170/911?
Given fractions are 996/887,383/209,170/911
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 996/887,383/209,170/911, numerators are 996,383,170
Denominators are 887,209,911
The GCF of 996,383,170 is 1 .
LCM of 887,209,911 is 168883913.
The greatest common factor of 996/887,383/209,170/911 = [GCF of 996,383,170]/[LCM of 887,209,911]= 1/168883913
Therefore, the GCF of 996/887,383/209,170/911 is 1/168883913.
To find the highest common factor of 996,383,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The factors of 383 are 1, 383
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 996,383,170 is 1.
Lets's calculate GCF of 996,383,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 996,383,170 By Matching Biggest Common Factor Method
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Now, list down the factors of 383
:1,383
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 996,383,170 . The biggest common factor number is the GCF number.
So the greatest common factor 996,383,170 is 1.
Lets's calculate LCM of 887,209,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 168883913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168883913
Therefore, the GCF of Fractions 996/887,383/209,170/911 is 1/168883913
Least Common Multiple of 887,209,911 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 887,209,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,209,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,209,911) x common factors =1 x 1 = 1
LCM(887,209,911) = ( 887 × 209 × 911 ) / 1
LCM(887,209,911) = 168883913 / 1
LCM(887,209,911) = 168883913
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 996/887, 383/209, 170/911
1. What is the HCF of 996,383,170?
The HCF of 996,383,170 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 996/887, 383/209, 170/911?
Answer: GCF of Numerators as per given numbers 996/887, 383/209, 170/911 is
GCF of Numerators i.e. for 996,383,170 is 1
LCM of denominators i.e. for 887,209,911 is 168883913.
Thus, GCF of Fractions is 1/168883913.Finally, GCF of Fractions for 996/887, 383/209, 170/911 is 1/168883913.