GCF of 4866/677, 8823/6859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4866/677, 8823/6859 i.e 3/4643543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4866/677, 8823/6859.
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 4866/677,8823/6859?
Given fractions are 4866/677,8823/6859
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 4866/677,8823/6859, numerators are 4866,8823
Denominators are 677,6859
The GCF of 4866,8823 is 3 .
LCM of 677,6859 is 4643543.
The greatest common factor of 4866/677,8823/6859 = [GCF of 4866,8823]/[LCM of 677,6859]= 3/4643543
Therefore, the GCF of 4866/677,8823/6859 is 3/4643543.
To find the highest common factor of 4866,8823, we have to find the factors of both numbers and list the highest common factor.
The factors of 4866 are 1, 2, 3, 6, 811, 1622, 2433, 4866
The factors of 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823
The HCF of 4866,8823 is 3.
Lets's calculate GCF of 4866,8823
| 3 | 4866, 8823 |
| 1622, 2941 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4866,8823 By Matching Biggest Common Factor Method
Now, list down the factors of 4866
:1,2,3,6,811,1622,2433,4866
Now, list down the factors of 8823
:1,3,17,51,173,519,2941,8823
Greatest Common Factor
We found the factors 4866,8823 . The biggest common factor number is the GCF number.
So the greatest common factor 4866,8823 is 3.
Lets's calculate LCM of 677,6859
Given numbers has no common factors except 1. So, there LCM is their product i.e 4643543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4643543
Therefore, the GCF of Fractions 4866/677,8823/6859 is 3/4643543
Least Common Multiple of 677,6859 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 677,6859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,6859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,6859) x common factors =1 x 1 = 1
LCM(677,6859) = ( 677 × 6859 ) / 1
LCM(677,6859) = 4643543 / 1
LCM(677,6859) = 4643543
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FAQs on GCF of Fractions of 4866/677, 8823/6859
1. What is the HCF of 4866,8823?
The HCF of 4866,8823 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 4866/677, 8823/6859?
Answer: GCF of Numerators as per given numbers 4866/677, 8823/6859 is
GCF of Numerators i.e. for 4866,8823 is 3
LCM of denominators i.e. for 677,6859 is 4643543.
Thus, GCF of Fractions is 3/4643543.Finally, GCF of Fractions for 4866/677, 8823/6859 is 3/4643543.