GCF of 8124/929, 5778/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8124/929, 5778/249 i.e 6/231321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8124/929, 5778/249.
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 8124/929,5778/249?
Given fractions are 8124/929,5778/249
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 8124/929,5778/249, numerators are 8124,5778
Denominators are 929,249
The GCF of 8124,5778 is 6 .
LCM of 929,249 is 231321.
The greatest common factor of 8124/929,5778/249 = [GCF of 8124,5778]/[LCM of 929,249]= 6/231321
Therefore, the GCF of 8124/929,5778/249 is 6/231321.
To find the highest common factor of 8124,5778, we have to find the factors of both numbers and list the highest common factor.
The factors of 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124
The factors of 5778 are 1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778
The HCF of 8124,5778 is 6.
Lets's calculate GCF of 8124,5778
| 2 | 8124, 5778 |
| 3 | 4062, 2889 |
| 1354, 963 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8124,5778 By Matching Biggest Common Factor Method
Now, list down the factors of 8124
:1,2,3,4,6,12,677,1354,2031,2708,4062,8124
Now, list down the factors of 5778
:1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778
Greatest Common Factor
We found the factors 8124,5778 . The biggest common factor number is the GCF number.
So the greatest common factor 8124,5778 is 6.
Lets's calculate LCM of 929,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 231321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/231321
Therefore, the GCF of Fractions 8124/929,5778/249 is 6/231321
Least Common Multiple of 929,249 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 929,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,249) x common factors =1 x 1 = 1
LCM(929,249) = ( 929 × 249 ) / 1
LCM(929,249) = 231321 / 1
LCM(929,249) = 231321
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FAQs on GCF of Fractions of 8124/929, 5778/249
1. What is the HCF of 8124,5778?
The HCF of 8124,5778 is 6
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 8124/929, 5778/249?
Answer: GCF of Numerators as per given numbers 8124/929, 5778/249 is
GCF of Numerators i.e. for 8124,5778 is 6
LCM of denominators i.e. for 929,249 is 231321.
Thus, GCF of Fractions is 6/231321.Finally, GCF of Fractions for 8124/929, 5778/249 is 6/231321.