GCF of 4622/524, 5094/1472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4622/524, 5094/1472 i.e 2/192832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4622/524, 5094/1472.
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 4622/524,5094/1472?
Given fractions are 4622/524,5094/1472
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 4622/524,5094/1472, numerators are 4622,5094
Denominators are 524,1472
The GCF of 4622,5094 is 2 .
LCM of 524,1472 is 192832.
The greatest common factor of 4622/524,5094/1472 = [GCF of 4622,5094]/[LCM of 524,1472]= 2/192832
Therefore, the GCF of 4622/524,5094/1472 is 2/192832.
To find the highest common factor of 4622,5094, we have to find the factors of both numbers and list the highest common factor.
The factors of 4622 are 1, 2, 2311, 4622
The factors of 5094 are 1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094
The HCF of 4622,5094 is 2.
Lets's calculate GCF of 4622,5094
| 2 | 4622, 5094 |
| 2311, 2547 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4622,5094 By Matching Biggest Common Factor Method
Now, list down the factors of 4622
:1,2,2311,4622
Now, list down the factors of 5094
:1,2,3,6,9,18,283,566,849,1698,2547,5094
Greatest Common Factor
We found the factors 4622,5094 . The biggest common factor number is the GCF number.
So the greatest common factor 4622,5094 is 2.
Lets's calculate LCM of 524,1472
| 2 | 524, 1472 |
| 2 | 262, 736 |
| 131, 368 |
∴ So the LCM of the given numbers is 2 x 2 x 131 x 368 = 192832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192832
Therefore, the GCF of Fractions 4622/524,5094/1472 is 2/192832
Least Common Multiple of 524,1472 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 524,1472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,1472) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(524,1472) x common factors =4 x 1 = 4
LCM(524,1472) = ( 524 × 1472 ) / 4
LCM(524,1472) = 771328 / 4
LCM(524,1472) = 192832
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FAQs on GCF of Fractions of 4622/524, 5094/1472
1. What is the HCF of 4622,5094?
The HCF of 4622,5094 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 4622/524, 5094/1472?
Answer: GCF of Numerators as per given numbers 4622/524, 5094/1472 is
GCF of Numerators i.e. for 4622,5094 is 2
LCM of denominators i.e. for 524,1472 is 192832.
Thus, GCF of Fractions is 2/192832.Finally, GCF of Fractions for 4622/524, 5094/1472 is 2/192832.