GCF of 3074/860, 7482/589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3074/860, 7482/589 i.e 58/506540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3074/860, 7482/589.
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 3074/860,7482/589?
Given fractions are 3074/860,7482/589
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 3074/860,7482/589, numerators are 3074,7482
Denominators are 860,589
The GCF of 3074,7482 is 58 .
LCM of 860,589 is 506540.
The greatest common factor of 3074/860,7482/589 = [GCF of 3074,7482]/[LCM of 860,589]= 58/506540
Therefore, the GCF of 3074/860,7482/589 is 58/506540.
To find the highest common factor of 3074,7482, we have to find the factors of both numbers and list the highest common factor.
The factors of 3074 are 1, 2, 29, 53, 58, 106, 1537, 3074
The factors of 7482 are 1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482
The HCF of 3074,7482 is 58.
Lets's calculate GCF of 3074,7482
| 2 | 3074, 7482 |
| 29 | 1537, 3741 |
| 53, 129 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 3074,7482 By Matching Biggest Common Factor Method
Now, list down the factors of 3074
:1,2,29,53,58,106,1537,3074
Now, list down the factors of 7482
:1,2,3,6,29,43,58,86,87,129,174,258,1247,2494,3741,7482
Greatest Common Factor
We found the factors 3074,7482 . The biggest common factor number is the GCF number.
So the greatest common factor 3074,7482 is 58.
Lets's calculate LCM of 860,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 506540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/506540
Therefore, the GCF of Fractions 3074/860,7482/589 is 58/506540
Least Common Multiple of 860,589 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 860,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(860,589) x common factors =1 x 1 = 1
LCM(860,589) = ( 860 × 589 ) / 1
LCM(860,589) = 506540 / 1
LCM(860,589) = 506540
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FAQs on GCF of Fractions of 3074/860, 7482/589
1. What is the HCF of 3074,7482?
The HCF of 3074,7482 is 58
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 3074/860, 7482/589?
Answer: GCF of Numerators as per given numbers 3074/860, 7482/589 is
GCF of Numerators i.e. for 3074,7482 is 58
LCM of denominators i.e. for 860,589 is 506540.
Thus, GCF of Fractions is 58/506540.Finally, GCF of Fractions for 3074/860, 7482/589 is 58/506540.