GCF of 7143/583, 8814/854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7143/583, 8814/854 i.e 3/497882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7143/583, 8814/854.
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 7143/583,8814/854?
Given fractions are 7143/583,8814/854
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 7143/583,8814/854, numerators are 7143,8814
Denominators are 583,854
The GCF of 7143,8814 is 3 .
LCM of 583,854 is 497882.
The greatest common factor of 7143/583,8814/854 = [GCF of 7143,8814]/[LCM of 583,854]= 3/497882
Therefore, the GCF of 7143/583,8814/854 is 3/497882.
To find the highest common factor of 7143,8814, we have to find the factors of both numbers and list the highest common factor.
The factors of 7143 are 1, 3, 2381, 7143
The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814
The HCF of 7143,8814 is 3.
Lets's calculate GCF of 7143,8814
| 3 | 7143, 8814 |
| 2381, 2938 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7143,8814 By Matching Biggest Common Factor Method
Now, list down the factors of 7143
:1,3,2381,7143
Now, list down the factors of 8814
:1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814
Greatest Common Factor
We found the factors 7143,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 7143,8814 is 3.
Lets's calculate LCM of 583,854
Given numbers has no common factors except 1. So, there LCM is their product i.e 497882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/497882
Therefore, the GCF of Fractions 7143/583,8814/854 is 3/497882
Least Common Multiple of 583,854 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 583,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,854) x common factors =1 x 1 = 1
LCM(583,854) = ( 583 × 854 ) / 1
LCM(583,854) = 497882 / 1
LCM(583,854) = 497882
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FAQs on GCF of Fractions of 7143/583, 8814/854
1. What is the HCF of 7143,8814?
The HCF of 7143,8814 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 7143/583, 8814/854?
Answer: GCF of Numerators as per given numbers 7143/583, 8814/854 is
GCF of Numerators i.e. for 7143,8814 is 3
LCM of denominators i.e. for 583,854 is 497882.
Thus, GCF of Fractions is 3/497882.Finally, GCF of Fractions for 7143/583, 8814/854 is 3/497882.