GCF of 4946/879, 4232/2453
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4946/879, 4232/2453 i.e 2/2156187 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4946/879, 4232/2453.
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 4946/879,4232/2453?
Given fractions are 4946/879,4232/2453
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 4946/879,4232/2453, numerators are 4946,4232
Denominators are 879,2453
The GCF of 4946,4232 is 2 .
LCM of 879,2453 is 2156187.
The greatest common factor of 4946/879,4232/2453 = [GCF of 4946,4232]/[LCM of 879,2453]= 2/2156187
Therefore, the GCF of 4946/879,4232/2453 is 2/2156187.
To find the highest common factor of 4946,4232, we have to find the factors of both numbers and list the highest common factor.
The factors of 4946 are 1, 2, 2473, 4946
The factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232
The HCF of 4946,4232 is 2.
Lets's calculate GCF of 4946,4232
| 2 | 4946, 4232 |
| 2473, 2116 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4946,4232 By Matching Biggest Common Factor Method
Now, list down the factors of 4946
:1,2,2473,4946
Now, list down the factors of 4232
:1,2,4,8,23,46,92,184,529,1058,2116,4232
Greatest Common Factor
We found the factors 4946,4232 . The biggest common factor number is the GCF number.
So the greatest common factor 4946,4232 is 2.
Lets's calculate LCM of 879,2453
Given numbers has no common factors except 1. So, there LCM is their product i.e 2156187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2156187
Therefore, the GCF of Fractions 4946/879,4232/2453 is 2/2156187
Least Common Multiple of 879,2453 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 879,2453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,2453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,2453) x common factors =1 x 1 = 1
LCM(879,2453) = ( 879 × 2453 ) / 1
LCM(879,2453) = 2156187 / 1
LCM(879,2453) = 2156187
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FAQs on GCF of Fractions of 4946/879, 4232/2453
1. What is the HCF of 4946,4232?
The HCF of 4946,4232 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 4946/879, 4232/2453?
Answer: GCF of Numerators as per given numbers 4946/879, 4232/2453 is
GCF of Numerators i.e. for 4946,4232 is 2
LCM of denominators i.e. for 879,2453 is 2156187.
Thus, GCF of Fractions is 2/2156187.Finally, GCF of Fractions for 4946/879, 4232/2453 is 2/2156187.