GCF of 4084/570, 8412/5524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4084/570, 8412/5524 i.e 4/1574340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4084/570, 8412/5524.
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 4084/570,8412/5524?
Given fractions are 4084/570,8412/5524
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 4084/570,8412/5524, numerators are 4084,8412
Denominators are 570,5524
The GCF of 4084,8412 is 4 .
LCM of 570,5524 is 1574340.
The greatest common factor of 4084/570,8412/5524 = [GCF of 4084,8412]/[LCM of 570,5524]= 4/1574340
Therefore, the GCF of 4084/570,8412/5524 is 4/1574340.
To find the highest common factor of 4084,8412, we have to find the factors of both numbers and list the highest common factor.
The factors of 4084 are 1, 2, 4, 1021, 2042, 4084
The factors of 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412
The HCF of 4084,8412 is 4.
Lets's calculate GCF of 4084,8412
| 2 | 4084, 8412 |
| 2 | 2042, 4206 |
| 1021, 2103 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4084,8412 By Matching Biggest Common Factor Method
Now, list down the factors of 4084
:1,2,4,1021,2042,4084
Now, list down the factors of 8412
:1,2,3,4,6,12,701,1402,2103,2804,4206,8412
Greatest Common Factor
We found the factors 4084,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 4084,8412 is 4.
Lets's calculate LCM of 570,5524
| 2 | 570, 5524 |
| 285, 2762 |
∴ So the LCM of the given numbers is 2 x 285 x 2762 = 1574340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1574340
Therefore, the GCF of Fractions 4084/570,8412/5524 is 4/1574340
Least Common Multiple of 570,5524 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 570,5524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,5524) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(570,5524) x common factors =2 x 1 = 2
LCM(570,5524) = ( 570 × 5524 ) / 2
LCM(570,5524) = 3148680 / 2
LCM(570,5524) = 1574340
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FAQs on GCF of Fractions of 4084/570, 8412/5524
1. What is the HCF of 4084,8412?
The HCF of 4084,8412 is 4
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 4084/570, 8412/5524?
Answer: GCF of Numerators as per given numbers 4084/570, 8412/5524 is
GCF of Numerators i.e. for 4084,8412 is 4
LCM of denominators i.e. for 570,5524 is 1574340.
Thus, GCF of Fractions is 4/1574340.Finally, GCF of Fractions for 4084/570, 8412/5524 is 4/1574340.