GCF of 5022/797, 4482/3451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5022/797, 4482/3451 i.e 54/2750447 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5022/797, 4482/3451.
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 5022/797,4482/3451?
Given fractions are 5022/797,4482/3451
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 5022/797,4482/3451, numerators are 5022,4482
Denominators are 797,3451
The GCF of 5022,4482 is 54 .
LCM of 797,3451 is 2750447.
The greatest common factor of 5022/797,4482/3451 = [GCF of 5022,4482]/[LCM of 797,3451]= 54/2750447
Therefore, the GCF of 5022/797,4482/3451 is 54/2750447.
To find the highest common factor of 5022,4482, we have to find the factors of both numbers and list the highest common factor.
The factors of 5022 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511, 5022
The factors of 4482 are 1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482
The HCF of 5022,4482 is 54.
Lets's calculate GCF of 5022,4482
| 2 | 5022, 4482 |
| 3 | 2511, 2241 |
| 3 | 837, 747 |
| 3 | 279, 249 |
| 93, 83 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Greatest Common Factor of 5022,4482 By Matching Biggest Common Factor Method
Now, list down the factors of 5022
:1,2,3,6,9,18,27,31,54,62,81,93,162,186,279,558,837,1674,2511,5022
Now, list down the factors of 4482
:1,2,3,6,9,18,27,54,83,166,249,498,747,1494,2241,4482
Greatest Common Factor
We found the factors 5022,4482 . The biggest common factor number is the GCF number.
So the greatest common factor 5022,4482 is 54.
Lets's calculate LCM of 797,3451
Given numbers has no common factors except 1. So, there LCM is their product i.e 2750447
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/2750447
Therefore, the GCF of Fractions 5022/797,4482/3451 is 54/2750447
Least Common Multiple of 797,3451 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 797,3451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,3451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,3451) x common factors =1 x 1 = 1
LCM(797,3451) = ( 797 × 3451 ) / 1
LCM(797,3451) = 2750447 / 1
LCM(797,3451) = 2750447
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FAQs on GCF of Fractions of 5022/797, 4482/3451
1. What is the HCF of 5022,4482?
The HCF of 5022,4482 is 54
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 5022/797, 4482/3451?
Answer: GCF of Numerators as per given numbers 5022/797, 4482/3451 is
GCF of Numerators i.e. for 5022,4482 is 54
LCM of denominators i.e. for 797,3451 is 2750447.
Thus, GCF of Fractions is 54/2750447.Finally, GCF of Fractions for 5022/797, 4482/3451 is 54/2750447.