GCF of 8046/534, 7582/6089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8046/534, 7582/6089 i.e 2/3251526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8046/534, 7582/6089.
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 8046/534,7582/6089?
Given fractions are 8046/534,7582/6089
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 8046/534,7582/6089, numerators are 8046,7582
Denominators are 534,6089
The GCF of 8046,7582 is 2 .
LCM of 534,6089 is 3251526.
The greatest common factor of 8046/534,7582/6089 = [GCF of 8046,7582]/[LCM of 534,6089]= 2/3251526
Therefore, the GCF of 8046/534,7582/6089 is 2/3251526.
To find the highest common factor of 8046,7582, we have to find the factors of both numbers and list the highest common factor.
The factors of 8046 are 1, 2, 3, 6, 9, 18, 27, 54, 149, 298, 447, 894, 1341, 2682, 4023, 8046
The factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582
The HCF of 8046,7582 is 2.
Lets's calculate GCF of 8046,7582
| 2 | 8046, 7582 |
| 4023, 3791 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8046,7582 By Matching Biggest Common Factor Method
Now, list down the factors of 8046
:1,2,3,6,9,18,27,54,149,298,447,894,1341,2682,4023,8046
Now, list down the factors of 7582
:1,2,17,34,223,446,3791,7582
Greatest Common Factor
We found the factors 8046,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 8046,7582 is 2.
Lets's calculate LCM of 534,6089
Given numbers has no common factors except 1. So, there LCM is their product i.e 3251526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3251526
Therefore, the GCF of Fractions 8046/534,7582/6089 is 2/3251526
Least Common Multiple of 534,6089 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 534,6089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,6089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(534,6089) x common factors =1 x 1 = 1
LCM(534,6089) = ( 534 × 6089 ) / 1
LCM(534,6089) = 3251526 / 1
LCM(534,6089) = 3251526
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FAQs on GCF of Fractions of 8046/534, 7582/6089
1. What is the HCF of 8046,7582?
The HCF of 8046,7582 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 8046/534, 7582/6089?
Answer: GCF of Numerators as per given numbers 8046/534, 7582/6089 is
GCF of Numerators i.e. for 8046,7582 is 2
LCM of denominators i.e. for 534,6089 is 3251526.
Thus, GCF of Fractions is 2/3251526.Finally, GCF of Fractions for 8046/534, 7582/6089 is 2/3251526.