GCF of 2702/514, 8668/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2702/514, 8668/823 i.e 2/423022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2702/514, 8668/823.
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 2702/514,8668/823?
Given fractions are 2702/514,8668/823
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 2702/514,8668/823, numerators are 2702,8668
Denominators are 514,823
The GCF of 2702,8668 is 2 .
LCM of 514,823 is 423022.
The greatest common factor of 2702/514,8668/823 = [GCF of 2702,8668]/[LCM of 514,823]= 2/423022
Therefore, the GCF of 2702/514,8668/823 is 2/423022.
To find the highest common factor of 2702,8668, we have to find the factors of both numbers and list the highest common factor.
The factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702
The factors of 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668
The HCF of 2702,8668 is 2.
Lets's calculate GCF of 2702,8668
| 2 | 2702, 8668 |
| 1351, 4334 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2702,8668 By Matching Biggest Common Factor Method
Now, list down the factors of 2702
:1,2,7,14,193,386,1351,2702
Now, list down the factors of 8668
:1,2,4,11,22,44,197,394,788,2167,4334,8668
Greatest Common Factor
We found the factors 2702,8668 . The biggest common factor number is the GCF number.
So the greatest common factor 2702,8668 is 2.
Lets's calculate LCM of 514,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 423022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/423022
Therefore, the GCF of Fractions 2702/514,8668/823 is 2/423022
Least Common Multiple of 514,823 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 514,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,823) x common factors =1 x 1 = 1
LCM(514,823) = ( 514 × 823 ) / 1
LCM(514,823) = 423022 / 1
LCM(514,823) = 423022
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2702/514, 8668/823
1. What is the HCF of 2702,8668?
The HCF of 2702,8668 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 2702/514, 8668/823?
Answer: GCF of Numerators as per given numbers 2702/514, 8668/823 is
GCF of Numerators i.e. for 2702,8668 is 2
LCM of denominators i.e. for 514,823 is 423022.
Thus, GCF of Fractions is 2/423022.Finally, GCF of Fractions for 2702/514, 8668/823 is 2/423022.