GCF of 2166/674, 4746/5155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2166/674, 4746/5155 i.e 6/3474470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2166/674, 4746/5155.
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 2166/674,4746/5155?
Given fractions are 2166/674,4746/5155
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 2166/674,4746/5155, numerators are 2166,4746
Denominators are 674,5155
The GCF of 2166,4746 is 6 .
LCM of 674,5155 is 3474470.
The greatest common factor of 2166/674,4746/5155 = [GCF of 2166,4746]/[LCM of 674,5155]= 6/3474470
Therefore, the GCF of 2166/674,4746/5155 is 6/3474470.
To find the highest common factor of 2166,4746, we have to find the factors of both numbers and list the highest common factor.
The factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166
The factors of 4746 are 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746
The HCF of 2166,4746 is 6.
Lets's calculate GCF of 2166,4746
| 2 | 2166, 4746 |
| 3 | 1083, 2373 |
| 361, 791 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2166,4746 By Matching Biggest Common Factor Method
Now, list down the factors of 2166
:1,2,3,6,19,38,57,114,361,722,1083,2166
Now, list down the factors of 4746
:1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746
Greatest Common Factor
We found the factors 2166,4746 . The biggest common factor number is the GCF number.
So the greatest common factor 2166,4746 is 6.
Lets's calculate LCM of 674,5155
Given numbers has no common factors except 1. So, there LCM is their product i.e 3474470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3474470
Therefore, the GCF of Fractions 2166/674,4746/5155 is 6/3474470
Least Common Multiple of 674,5155 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 674,5155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,5155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,5155) x common factors =1 x 1 = 1
LCM(674,5155) = ( 674 × 5155 ) / 1
LCM(674,5155) = 3474470 / 1
LCM(674,5155) = 3474470
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2166/674, 4746/5155
1. What is the HCF of 2166,4746?
The HCF of 2166,4746 is 6
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 2166/674, 4746/5155?
Answer: GCF of Numerators as per given numbers 2166/674, 4746/5155 is
GCF of Numerators i.e. for 2166,4746 is 6
LCM of denominators i.e. for 674,5155 is 3474470.
Thus, GCF of Fractions is 6/3474470.Finally, GCF of Fractions for 2166/674, 4746/5155 is 6/3474470.