GCF of 656/418, 451/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 656/418, 451/117 i.e 41/48906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 656/418, 451/117.
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 656/418,451/117?
Given fractions are 656/418,451/117
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 656/418,451/117, numerators are 656,451
Denominators are 418,117
The GCF of 656,451 is 41 .
LCM of 418,117 is 48906.
The greatest common factor of 656/418,451/117 = [GCF of 656,451]/[LCM of 418,117]= 41/48906
Therefore, the GCF of 656/418,451/117 is 41/48906.
To find the highest common factor of 656,451, we have to find the factors of both numbers and list the highest common factor.
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The factors of 451 are 1, 11, 41, 451
The HCF of 656,451 is 41.
Lets's calculate GCF of 656,451
| 41 | 656, 451 |
| 16, 11 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 656,451 By Matching Biggest Common Factor Method
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Now, list down the factors of 451
:1,11,41,451
Greatest Common Factor
We found the factors 656,451 . The biggest common factor number is the GCF number.
So the greatest common factor 656,451 is 41.
Lets's calculate LCM of 418,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 48906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/48906
Therefore, the GCF of Fractions 656/418,451/117 is 41/48906
Least Common Multiple of 418,117 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 418,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,117) x common factors =1 x 1 = 1
LCM(418,117) = ( 418 × 117 ) / 1
LCM(418,117) = 48906 / 1
LCM(418,117) = 48906
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 656/418, 451/117
1. What is the HCF of 656,451?
The HCF of 656,451 is 41
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 656/418, 451/117?
Answer: GCF of Numerators as per given numbers 656/418, 451/117 is
GCF of Numerators i.e. for 656,451 is 41
LCM of denominators i.e. for 418,117 is 48906.
Thus, GCF of Fractions is 41/48906.Finally, GCF of Fractions for 656/418, 451/117 is 41/48906.