GCF of 1762/917, 1843/906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1762/917, 1843/906 i.e 1/830802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1762/917, 1843/906.
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 1762/917,1843/906?
Given fractions are 1762/917,1843/906
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 1762/917,1843/906, numerators are 1762,1843
Denominators are 917,906
The GCF of 1762,1843 is 1 .
LCM of 917,906 is 830802.
The greatest common factor of 1762/917,1843/906 = [GCF of 1762,1843]/[LCM of 917,906]= 1/830802
Therefore, the GCF of 1762/917,1843/906 is 1/830802.
To find the highest common factor of 1762,1843, we have to find the factors of both numbers and list the highest common factor.
The factors of 1762 are 1, 2, 881, 1762
The factors of 1843 are 1, 19, 97, 1843
The HCF of 1762,1843 is 1.
Lets's calculate GCF of 1762,1843
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1762,1843 By Matching Biggest Common Factor Method
Now, list down the factors of 1762
:1,2,881,1762
Now, list down the factors of 1843
:1,19,97,1843
Greatest Common Factor
We found the factors 1762,1843 . The biggest common factor number is the GCF number.
So the greatest common factor 1762,1843 is 1.
Lets's calculate LCM of 917,906
Given numbers has no common factors except 1. So, there LCM is their product i.e 830802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/830802
Therefore, the GCF of Fractions 1762/917,1843/906 is 1/830802
Least Common Multiple of 917,906 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 917,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,906) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,906) x common factors =1 x 1 = 1
LCM(917,906) = ( 917 × 906 ) / 1
LCM(917,906) = 830802 / 1
LCM(917,906) = 830802
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1762/917, 1843/906
1. What is the HCF of 1762,1843?
The HCF of 1762,1843 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 1762/917, 1843/906?
Answer: GCF of Numerators as per given numbers 1762/917, 1843/906 is
GCF of Numerators i.e. for 1762,1843 is 1
LCM of denominators i.e. for 917,906 is 830802.
Thus, GCF of Fractions is 1/830802.Finally, GCF of Fractions for 1762/917, 1843/906 is 1/830802.