GCF of 4821/472, 4974/8173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4821/472, 4974/8173 i.e 3/3857656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4821/472, 4974/8173.
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 4821/472,4974/8173?
Given fractions are 4821/472,4974/8173
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 4821/472,4974/8173, numerators are 4821,4974
Denominators are 472,8173
The GCF of 4821,4974 is 3 .
LCM of 472,8173 is 3857656.
The greatest common factor of 4821/472,4974/8173 = [GCF of 4821,4974]/[LCM of 472,8173]= 3/3857656
Therefore, the GCF of 4821/472,4974/8173 is 3/3857656.
To find the highest common factor of 4821,4974, we have to find the factors of both numbers and list the highest common factor.
The factors of 4821 are 1, 3, 1607, 4821
The factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974
The HCF of 4821,4974 is 3.
Lets's calculate GCF of 4821,4974
| 3 | 4821, 4974 |
| 1607, 1658 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4821,4974 By Matching Biggest Common Factor Method
Now, list down the factors of 4821
:1,3,1607,4821
Now, list down the factors of 4974
:1,2,3,6,829,1658,2487,4974
Greatest Common Factor
We found the factors 4821,4974 . The biggest common factor number is the GCF number.
So the greatest common factor 4821,4974 is 3.
Lets's calculate LCM of 472,8173
Given numbers has no common factors except 1. So, there LCM is their product i.e 3857656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3857656
Therefore, the GCF of Fractions 4821/472,4974/8173 is 3/3857656
Least Common Multiple of 472,8173 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 472,8173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,8173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,8173) x common factors =1 x 1 = 1
LCM(472,8173) = ( 472 × 8173 ) / 1
LCM(472,8173) = 3857656 / 1
LCM(472,8173) = 3857656
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FAQs on GCF of Fractions of 4821/472, 4974/8173
1. What is the HCF of 4821,4974?
The HCF of 4821,4974 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 4821/472, 4974/8173?
Answer: GCF of Numerators as per given numbers 4821/472, 4974/8173 is
GCF of Numerators i.e. for 4821,4974 is 3
LCM of denominators i.e. for 472,8173 is 3857656.
Thus, GCF of Fractions is 3/3857656.Finally, GCF of Fractions for 4821/472, 4974/8173 is 3/3857656.