GCF of 7929/930, 5844/6664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7929/930, 5844/6664 i.e 3/3098760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7929/930, 5844/6664.
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 7929/930,5844/6664?
Given fractions are 7929/930,5844/6664
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 7929/930,5844/6664, numerators are 7929,5844
Denominators are 930,6664
The GCF of 7929,5844 is 3 .
LCM of 930,6664 is 3098760.
The greatest common factor of 7929/930,5844/6664 = [GCF of 7929,5844]/[LCM of 930,6664]= 3/3098760
Therefore, the GCF of 7929/930,5844/6664 is 3/3098760.
To find the highest common factor of 7929,5844, we have to find the factors of both numbers and list the highest common factor.
The factors of 7929 are 1, 3, 9, 881, 2643, 7929
The factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844
The HCF of 7929,5844 is 3.
Lets's calculate GCF of 7929,5844
| 3 | 7929, 5844 |
| 2643, 1948 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7929,5844 By Matching Biggest Common Factor Method
Now, list down the factors of 7929
:1,3,9,881,2643,7929
Now, list down the factors of 5844
:1,2,3,4,6,12,487,974,1461,1948,2922,5844
Greatest Common Factor
We found the factors 7929,5844 . The biggest common factor number is the GCF number.
So the greatest common factor 7929,5844 is 3.
Lets's calculate LCM of 930,6664
| 2 | 930, 6664 |
| 465, 3332 |
∴ So the LCM of the given numbers is 2 x 465 x 3332 = 3098760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3098760
Therefore, the GCF of Fractions 7929/930,5844/6664 is 3/3098760
Least Common Multiple of 930,6664 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 930,6664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,6664) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(930,6664) x common factors =2 x 1 = 2
LCM(930,6664) = ( 930 × 6664 ) / 2
LCM(930,6664) = 6197520 / 2
LCM(930,6664) = 3098760
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FAQs on GCF of Fractions of 7929/930, 5844/6664
1. What is the HCF of 7929,5844?
The HCF of 7929,5844 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 7929/930, 5844/6664?
Answer: GCF of Numerators as per given numbers 7929/930, 5844/6664 is
GCF of Numerators i.e. for 7929,5844 is 3
LCM of denominators i.e. for 930,6664 is 3098760.
Thus, GCF of Fractions is 3/3098760.Finally, GCF of Fractions for 7929/930, 5844/6664 is 3/3098760.