GCF of 8793/377, 5928/529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8793/377, 5928/529 i.e 3/199433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8793/377, 5928/529.
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 8793/377,5928/529?
Given fractions are 8793/377,5928/529
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 8793/377,5928/529, numerators are 8793,5928
Denominators are 377,529
The GCF of 8793,5928 is 3 .
LCM of 377,529 is 199433.
The greatest common factor of 8793/377,5928/529 = [GCF of 8793,5928]/[LCM of 377,529]= 3/199433
Therefore, the GCF of 8793/377,5928/529 is 3/199433.
To find the highest common factor of 8793,5928, we have to find the factors of both numbers and list the highest common factor.
The factors of 8793 are 1, 3, 9, 977, 2931, 8793
The factors of 5928 are 1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928
The HCF of 8793,5928 is 3.
Lets's calculate GCF of 8793,5928
| 3 | 8793, 5928 |
| 2931, 1976 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8793,5928 By Matching Biggest Common Factor Method
Now, list down the factors of 8793
:1,3,9,977,2931,8793
Now, list down the factors of 5928
:1,2,3,4,6,8,12,13,19,24,26,38,39,52,57,76,78,104,114,152,156,228,247,312,456,494,741,988,1482,1976,2964,5928
Greatest Common Factor
We found the factors 8793,5928 . The biggest common factor number is the GCF number.
So the greatest common factor 8793,5928 is 3.
Lets's calculate LCM of 377,529
Given numbers has no common factors except 1. So, there LCM is their product i.e 199433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/199433
Therefore, the GCF of Fractions 8793/377,5928/529 is 3/199433
Least Common Multiple of 377,529 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 377,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,529) x common factors =1 x 1 = 1
LCM(377,529) = ( 377 × 529 ) / 1
LCM(377,529) = 199433 / 1
LCM(377,529) = 199433
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FAQs on GCF of Fractions of 8793/377, 5928/529
1. What is the HCF of 8793,5928?
The HCF of 8793,5928 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 8793/377, 5928/529?
Answer: GCF of Numerators as per given numbers 8793/377, 5928/529 is
GCF of Numerators i.e. for 8793,5928 is 3
LCM of denominators i.e. for 377,529 is 199433.
Thus, GCF of Fractions is 3/199433.Finally, GCF of Fractions for 8793/377, 5928/529 is 3/199433.