GCF of 867/994, 5810/6077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 867/994, 5810/6077 i.e 1/6040538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/994, 5810/6077.
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 867/994,5810/6077?
Given fractions are 867/994,5810/6077
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 867/994,5810/6077, numerators are 867,5810
Denominators are 994,6077
The GCF of 867,5810 is 1 .
LCM of 994,6077 is 6040538.
The greatest common factor of 867/994,5810/6077 = [GCF of 867,5810]/[LCM of 994,6077]= 1/6040538
Therefore, the GCF of 867/994,5810/6077 is 1/6040538.
To find the highest common factor of 867,5810, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810
The HCF of 867,5810 is 1.
Lets's calculate GCF of 867,5810
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 867,5810 By Matching Biggest Common Factor Method
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 5810
:1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810
Greatest Common Factor
We found the factors 867,5810 . The biggest common factor number is the GCF number.
So the greatest common factor 867,5810 is 1.
Lets's calculate LCM of 994,6077
Given numbers has no common factors except 1. So, there LCM is their product i.e 6040538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6040538
Therefore, the GCF of Fractions 867/994,5810/6077 is 1/6040538
Least Common Multiple of 994,6077 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 994,6077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,6077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(994,6077) x common factors =1 x 1 = 1
LCM(994,6077) = ( 994 × 6077 ) / 1
LCM(994,6077) = 6040538 / 1
LCM(994,6077) = 6040538
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 867/994, 5810/6077
1. What is the HCF of 867,5810?
The HCF of 867,5810 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 867/994, 5810/6077?
Answer: GCF of Numerators as per given numbers 867/994, 5810/6077 is
GCF of Numerators i.e. for 867,5810 is 1
LCM of denominators i.e. for 994,6077 is 6040538.
Thus, GCF of Fractions is 1/6040538.Finally, GCF of Fractions for 867/994, 5810/6077 is 1/6040538.