GCF of 5607/522, 6585/4582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5607/522, 6585/4582 i.e 3/41238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5607/522, 6585/4582.
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 5607/522,6585/4582?
Given fractions are 5607/522,6585/4582
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 5607/522,6585/4582, numerators are 5607,6585
Denominators are 522,4582
The GCF of 5607,6585 is 3 .
LCM of 522,4582 is 41238.
The greatest common factor of 5607/522,6585/4582 = [GCF of 5607,6585]/[LCM of 522,4582]= 3/41238
Therefore, the GCF of 5607/522,6585/4582 is 3/41238.
To find the highest common factor of 5607,6585, we have to find the factors of both numbers and list the highest common factor.
The factors of 5607 are 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607
The factors of 6585 are 1, 3, 5, 15, 439, 1317, 2195, 6585
The HCF of 5607,6585 is 3.
Lets's calculate GCF of 5607,6585
| 3 | 5607, 6585 |
| 1869, 2195 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5607,6585 By Matching Biggest Common Factor Method
Now, list down the factors of 5607
:1,3,7,9,21,63,89,267,623,801,1869,5607
Now, list down the factors of 6585
:1,3,5,15,439,1317,2195,6585
Greatest Common Factor
We found the factors 5607,6585 . The biggest common factor number is the GCF number.
So the greatest common factor 5607,6585 is 3.
Lets's calculate LCM of 522,4582
| 2 | 522, 4582 |
| 29 | 261, 2291 |
| 9, 79 |
∴ So the LCM of the given numbers is 2 x 29 x 9 x 79 = 41238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41238
Therefore, the GCF of Fractions 5607/522,6585/4582 is 3/41238
Least Common Multiple of 522,4582 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 522,4582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,4582) = 58
common factors(in case of two or more numbers have common factors) = 1
GCF(522,4582) x common factors =58 x 1 = 58
LCM(522,4582) = ( 522 × 4582 ) / 58
LCM(522,4582) = 2391804 / 58
LCM(522,4582) = 41238
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FAQs on GCF of Fractions of 5607/522, 6585/4582
1. What is the HCF of 5607,6585?
The HCF of 5607,6585 is 3
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 5607/522, 6585/4582?
Answer: GCF of Numerators as per given numbers 5607/522, 6585/4582 is
GCF of Numerators i.e. for 5607,6585 is 3
LCM of denominators i.e. for 522,4582 is 41238.
Thus, GCF of Fractions is 3/41238.Finally, GCF of Fractions for 5607/522, 6585/4582 is 3/41238.