GCF of 4661/254, 3420/2164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4661/254, 3420/2164 i.e 1/274828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4661/254, 3420/2164.
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 4661/254,3420/2164?
Given fractions are 4661/254,3420/2164
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 4661/254,3420/2164, numerators are 4661,3420
Denominators are 254,2164
The GCF of 4661,3420 is 1 .
LCM of 254,2164 is 274828.
The greatest common factor of 4661/254,3420/2164 = [GCF of 4661,3420]/[LCM of 254,2164]= 1/274828
Therefore, the GCF of 4661/254,3420/2164 is 1/274828.
To find the highest common factor of 4661,3420, we have to find the factors of both numbers and list the highest common factor.
The factors of 4661 are 1, 59, 79, 4661
The factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420
The HCF of 4661,3420 is 1.
Lets's calculate GCF of 4661,3420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4661,3420 By Matching Biggest Common Factor Method
Now, list down the factors of 4661
:1,59,79,4661
Now, list down the factors of 3420
:1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420
Greatest Common Factor
We found the factors 4661,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 4661,3420 is 1.
Lets's calculate LCM of 254,2164
| 2 | 254, 2164 |
| 127, 1082 |
∴ So the LCM of the given numbers is 2 x 127 x 1082 = 274828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274828
Therefore, the GCF of Fractions 4661/254,3420/2164 is 1/274828
Least Common Multiple of 254,2164 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 254,2164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,2164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,2164) x common factors =2 x 1 = 2
LCM(254,2164) = ( 254 × 2164 ) / 2
LCM(254,2164) = 549656 / 2
LCM(254,2164) = 274828
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4661/254, 3420/2164
1. What is the HCF of 4661,3420?
The HCF of 4661,3420 is 1
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 4661/254, 3420/2164?
Answer: GCF of Numerators as per given numbers 4661/254, 3420/2164 is
GCF of Numerators i.e. for 4661,3420 is 1
LCM of denominators i.e. for 254,2164 is 274828.
Thus, GCF of Fractions is 1/274828.Finally, GCF of Fractions for 4661/254, 3420/2164 is 1/274828.