GCF of 8058/564, 7452/5638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8058/564, 7452/5638 i.e 6/1589916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8058/564, 7452/5638.
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 8058/564,7452/5638?
Given fractions are 8058/564,7452/5638
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 8058/564,7452/5638, numerators are 8058,7452
Denominators are 564,5638
The GCF of 8058,7452 is 6 .
LCM of 564,5638 is 1589916.
The greatest common factor of 8058/564,7452/5638 = [GCF of 8058,7452]/[LCM of 564,5638]= 6/1589916
Therefore, the GCF of 8058/564,7452/5638 is 6/1589916.
To find the highest common factor of 8058,7452, we have to find the factors of both numbers and list the highest common factor.
The factors of 8058 are 1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058
The factors of 7452 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452
The HCF of 8058,7452 is 6.
Lets's calculate GCF of 8058,7452
| 2 | 8058, 7452 |
| 3 | 4029, 3726 |
| 1343, 1242 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8058,7452 By Matching Biggest Common Factor Method
Now, list down the factors of 8058
:1,2,3,6,17,34,51,79,102,158,237,474,1343,2686,4029,8058
Now, list down the factors of 7452
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,81,92,108,138,162,207,276,324,414,621,828,1242,1863,2484,3726,7452
Greatest Common Factor
We found the factors 8058,7452 . The biggest common factor number is the GCF number.
So the greatest common factor 8058,7452 is 6.
Lets's calculate LCM of 564,5638
| 2 | 564, 5638 |
| 282, 2819 |
∴ So the LCM of the given numbers is 2 x 282 x 2819 = 1589916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1589916
Therefore, the GCF of Fractions 8058/564,7452/5638 is 6/1589916
Least Common Multiple of 564,5638 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 564,5638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,5638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,5638) x common factors =2 x 1 = 2
LCM(564,5638) = ( 564 × 5638 ) / 2
LCM(564,5638) = 3179832 / 2
LCM(564,5638) = 1589916
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8058/564, 7452/5638
1. What is the HCF of 8058,7452?
The HCF of 8058,7452 is 6
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 8058/564, 7452/5638?
Answer: GCF of Numerators as per given numbers 8058/564, 7452/5638 is
GCF of Numerators i.e. for 8058,7452 is 6
LCM of denominators i.e. for 564,5638 is 1589916.
Thus, GCF of Fractions is 6/1589916.Finally, GCF of Fractions for 8058/564, 7452/5638 is 6/1589916.