GCF of 8292/691, 2110/5868
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8292/691, 2110/5868 i.e 2/4054788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8292/691, 2110/5868.
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 8292/691,2110/5868?
Given fractions are 8292/691,2110/5868
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 8292/691,2110/5868, numerators are 8292,2110
Denominators are 691,5868
The GCF of 8292,2110 is 2 .
LCM of 691,5868 is 4054788.
The greatest common factor of 8292/691,2110/5868 = [GCF of 8292,2110]/[LCM of 691,5868]= 2/4054788
Therefore, the GCF of 8292/691,2110/5868 is 2/4054788.
To find the highest common factor of 8292,2110, we have to find the factors of both numbers and list the highest common factor.
The factors of 8292 are 1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146, 8292
The factors of 2110 are 1, 2, 5, 10, 211, 422, 1055, 2110
The HCF of 8292,2110 is 2.
Lets's calculate GCF of 8292,2110
| 2 | 8292, 2110 |
| 4146, 1055 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8292,2110 By Matching Biggest Common Factor Method
Now, list down the factors of 8292
:1,2,3,4,6,12,691,1382,2073,2764,4146,8292
Now, list down the factors of 2110
:1,2,5,10,211,422,1055,2110
Greatest Common Factor
We found the factors 8292,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 8292,2110 is 2.
Lets's calculate LCM of 691,5868
Given numbers has no common factors except 1. So, there LCM is their product i.e 4054788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4054788
Therefore, the GCF of Fractions 8292/691,2110/5868 is 2/4054788
Least Common Multiple of 691,5868 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 691,5868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,5868) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,5868) x common factors =1 x 1 = 1
LCM(691,5868) = ( 691 × 5868 ) / 1
LCM(691,5868) = 4054788 / 1
LCM(691,5868) = 4054788
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8292/691, 2110/5868
1. What is the HCF of 8292,2110?
The HCF of 8292,2110 is 2
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 8292/691, 2110/5868?
Answer: GCF of Numerators as per given numbers 8292/691, 2110/5868 is
GCF of Numerators i.e. for 8292,2110 is 2
LCM of denominators i.e. for 691,5868 is 4054788.
Thus, GCF of Fractions is 2/4054788.Finally, GCF of Fractions for 8292/691, 2110/5868 is 2/4054788.