GCF of 1339/454, 8017/2386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1339/454, 8017/2386 i.e 1/541622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1339/454, 8017/2386.
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 1339/454,8017/2386?
Given fractions are 1339/454,8017/2386
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 1339/454,8017/2386, numerators are 1339,8017
Denominators are 454,2386
The GCF of 1339,8017 is 1 .
LCM of 454,2386 is 541622.
The greatest common factor of 1339/454,8017/2386 = [GCF of 1339,8017]/[LCM of 454,2386]= 1/541622
Therefore, the GCF of 1339/454,8017/2386 is 1/541622.
To find the highest common factor of 1339,8017, we have to find the factors of both numbers and list the highest common factor.
The factors of 1339 are 1, 13, 103, 1339
The factors of 8017 are 1, 8017
The HCF of 1339,8017 is 1.
Lets's calculate GCF of 1339,8017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1339,8017 By Matching Biggest Common Factor Method
Now, list down the factors of 1339
:1,13,103,1339
Now, list down the factors of 8017
:1,8017
Greatest Common Factor
We found the factors 1339,8017 . The biggest common factor number is the GCF number.
So the greatest common factor 1339,8017 is 1.
Lets's calculate LCM of 454,2386
| 2 | 454, 2386 |
| 227, 1193 |
∴ So the LCM of the given numbers is 2 x 227 x 1193 = 541622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541622
Therefore, the GCF of Fractions 1339/454,8017/2386 is 1/541622
Least Common Multiple of 454,2386 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 454,2386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,2386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,2386) x common factors =2 x 1 = 2
LCM(454,2386) = ( 454 × 2386 ) / 2
LCM(454,2386) = 1083244 / 2
LCM(454,2386) = 541622
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FAQs on GCF of Fractions of 1339/454, 8017/2386
1. What is the HCF of 1339,8017?
The HCF of 1339,8017 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 1339/454, 8017/2386?
Answer: GCF of Numerators as per given numbers 1339/454, 8017/2386 is
GCF of Numerators i.e. for 1339,8017 is 1
LCM of denominators i.e. for 454,2386 is 541622.
Thus, GCF of Fractions is 1/541622.Finally, GCF of Fractions for 1339/454, 8017/2386 is 1/541622.