GCF of 4806/922, 6874/4977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4806/922, 6874/4977 i.e 2/4588794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4806/922, 6874/4977.
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 4806/922,6874/4977?
Given fractions are 4806/922,6874/4977
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 4806/922,6874/4977, numerators are 4806,6874
Denominators are 922,4977
The GCF of 4806,6874 is 2 .
LCM of 922,4977 is 4588794.
The greatest common factor of 4806/922,6874/4977 = [GCF of 4806,6874]/[LCM of 922,4977]= 2/4588794
Therefore, the GCF of 4806/922,6874/4977 is 2/4588794.
To find the highest common factor of 4806,6874, we have to find the factors of both numbers and list the highest common factor.
The factors of 4806 are 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403, 4806
The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874
The HCF of 4806,6874 is 2.
Lets's calculate GCF of 4806,6874
| 2 | 4806, 6874 |
| 2403, 3437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4806,6874 By Matching Biggest Common Factor Method
Now, list down the factors of 4806
:1,2,3,6,9,18,27,54,89,178,267,534,801,1602,2403,4806
Now, list down the factors of 6874
:1,2,7,14,491,982,3437,6874
Greatest Common Factor
We found the factors 4806,6874 . The biggest common factor number is the GCF number.
So the greatest common factor 4806,6874 is 2.
Lets's calculate LCM of 922,4977
Given numbers has no common factors except 1. So, there LCM is their product i.e 4588794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4588794
Therefore, the GCF of Fractions 4806/922,6874/4977 is 2/4588794
Least Common Multiple of 922,4977 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 922,4977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,4977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,4977) x common factors =1 x 1 = 1
LCM(922,4977) = ( 922 × 4977 ) / 1
LCM(922,4977) = 4588794 / 1
LCM(922,4977) = 4588794
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FAQs on GCF of Fractions of 4806/922, 6874/4977
1. What is the HCF of 4806,6874?
The HCF of 4806,6874 is 2
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 4806/922, 6874/4977?
Answer: GCF of Numerators as per given numbers 4806/922, 6874/4977 is
GCF of Numerators i.e. for 4806,6874 is 2
LCM of denominators i.e. for 922,4977 is 4588794.
Thus, GCF of Fractions is 2/4588794.Finally, GCF of Fractions for 4806/922, 6874/4977 is 2/4588794.