GCF of 8023/595, 7374/4369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8023/595, 7374/4369 i.e 1/152915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8023/595, 7374/4369.
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 8023/595,7374/4369?
Given fractions are 8023/595,7374/4369
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 8023/595,7374/4369, numerators are 8023,7374
Denominators are 595,4369
The GCF of 8023,7374 is 1 .
LCM of 595,4369 is 152915.
The greatest common factor of 8023/595,7374/4369 = [GCF of 8023,7374]/[LCM of 595,4369]= 1/152915
Therefore, the GCF of 8023/595,7374/4369 is 1/152915.
To find the highest common factor of 8023,7374, 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 7374 are 1, 2, 3, 6, 1229, 2458, 3687, 7374
The HCF of 8023,7374 is 1.
Lets's calculate GCF of 8023,7374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8023,7374 By Matching Biggest Common Factor Method
Now, list down the factors of 8023
:1,71,113,8023
Now, list down the factors of 7374
:1,2,3,6,1229,2458,3687,7374
Greatest Common Factor
We found the factors 8023,7374 . The biggest common factor number is the GCF number.
So the greatest common factor 8023,7374 is 1.
Lets's calculate LCM of 595,4369
| 17 | 595, 4369 |
| 35, 257 |
∴ So the LCM of the given numbers is 17 x 35 x 257 = 152915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152915
Therefore, the GCF of Fractions 8023/595,7374/4369 is 1/152915
Least Common Multiple of 595,4369 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 595,4369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,4369) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(595,4369) x common factors =17 x 1 = 17
LCM(595,4369) = ( 595 × 4369 ) / 17
LCM(595,4369) = 2599555 / 17
LCM(595,4369) = 152915
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FAQs on GCF of Fractions of 8023/595, 7374/4369
1. What is the HCF of 8023,7374?
The HCF of 8023,7374 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 8023/595, 7374/4369?
Answer: GCF of Numerators as per given numbers 8023/595, 7374/4369 is
GCF of Numerators i.e. for 8023,7374 is 1
LCM of denominators i.e. for 595,4369 is 152915.
Thus, GCF of Fractions is 1/152915.Finally, GCF of Fractions for 8023/595, 7374/4369 is 1/152915.