GCF of 7632/561, 5798/6042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7632/561, 5798/6042 i.e 2/1129854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7632/561, 5798/6042.
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 7632/561,5798/6042?
Given fractions are 7632/561,5798/6042
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 7632/561,5798/6042, numerators are 7632,5798
Denominators are 561,6042
The GCF of 7632,5798 is 2 .
LCM of 561,6042 is 1129854.
The greatest common factor of 7632/561,5798/6042 = [GCF of 7632,5798]/[LCM of 561,6042]= 2/1129854
Therefore, the GCF of 7632/561,5798/6042 is 2/1129854.
To find the highest common factor of 7632,5798, we have to find the factors of both numbers and list the highest common factor.
The factors of 7632 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 53, 72, 106, 144, 159, 212, 318, 424, 477, 636, 848, 954, 1272, 1908, 2544, 3816, 7632
The factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798
The HCF of 7632,5798 is 2.
Lets's calculate GCF of 7632,5798
| 2 | 7632, 5798 |
| 3816, 2899 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7632,5798 By Matching Biggest Common Factor Method
Now, list down the factors of 7632
:1,2,3,4,6,8,9,12,16,18,24,36,48,53,72,106,144,159,212,318,424,477,636,848,954,1272,1908,2544,3816,7632
Now, list down the factors of 5798
:1,2,13,26,223,446,2899,5798
Greatest Common Factor
We found the factors 7632,5798 . The biggest common factor number is the GCF number.
So the greatest common factor 7632,5798 is 2.
Lets's calculate LCM of 561,6042
| 3 | 561, 6042 |
| 187, 2014 |
∴ So the LCM of the given numbers is 3 x 187 x 2014 = 1129854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1129854
Therefore, the GCF of Fractions 7632/561,5798/6042 is 2/1129854
Least Common Multiple of 561,6042 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 561,6042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,6042) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,6042) x common factors =3 x 1 = 3
LCM(561,6042) = ( 561 × 6042 ) / 3
LCM(561,6042) = 3389562 / 3
LCM(561,6042) = 1129854
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FAQs on GCF of Fractions of 7632/561, 5798/6042
1. What is the HCF of 7632,5798?
The HCF of 7632,5798 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 7632/561, 5798/6042?
Answer: GCF of Numerators as per given numbers 7632/561, 5798/6042 is
GCF of Numerators i.e. for 7632,5798 is 2
LCM of denominators i.e. for 561,6042 is 1129854.
Thus, GCF of Fractions is 2/1129854.Finally, GCF of Fractions for 7632/561, 5798/6042 is 2/1129854.