GCF of 8023/813, 7682/2652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8023/813, 7682/2652 i.e 1/718692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8023/813, 7682/2652.
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 8023/813,7682/2652?
Given fractions are 8023/813,7682/2652
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 8023/813,7682/2652, numerators are 8023,7682
Denominators are 813,2652
The GCF of 8023,7682 is 1 .
LCM of 813,2652 is 718692.
The greatest common factor of 8023/813,7682/2652 = [GCF of 8023,7682]/[LCM of 813,2652]= 1/718692
Therefore, the GCF of 8023/813,7682/2652 is 1/718692.
To find the highest common factor of 8023,7682, we have to find the factors of both numbers and list the highest common factor.
The factors of 8023 are 1, 71, 113, 8023
The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682
The HCF of 8023,7682 is 1.
Lets's calculate GCF of 8023,7682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8023,7682 By Matching Biggest Common Factor Method
Now, list down the factors of 8023
:1,71,113,8023
Now, list down the factors of 7682
:1,2,23,46,167,334,3841,7682
Greatest Common Factor
We found the factors 8023,7682 . The biggest common factor number is the GCF number.
So the greatest common factor 8023,7682 is 1.
Lets's calculate LCM of 813,2652
| 3 | 813, 2652 |
| 271, 884 |
∴ So the LCM of the given numbers is 3 x 271 x 884 = 718692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/718692
Therefore, the GCF of Fractions 8023/813,7682/2652 is 1/718692
Least Common Multiple of 813,2652 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 813,2652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,2652) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,2652) x common factors =3 x 1 = 3
LCM(813,2652) = ( 813 × 2652 ) / 3
LCM(813,2652) = 2156076 / 3
LCM(813,2652) = 718692
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FAQs on GCF of Fractions of 8023/813, 7682/2652
1. What is the HCF of 8023,7682?
The HCF of 8023,7682 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 8023/813, 7682/2652?
Answer: GCF of Numerators as per given numbers 8023/813, 7682/2652 is
GCF of Numerators i.e. for 8023,7682 is 1
LCM of denominators i.e. for 813,2652 is 718692.
Thus, GCF of Fractions is 1/718692.Finally, GCF of Fractions for 8023/813, 7682/2652 is 1/718692.