GCF of 451/909, 656/275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 451/909, 656/275 i.e 41/249975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/909, 656/275.
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 451/909,656/275?
Given fractions are 451/909,656/275
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 451/909,656/275, numerators are 451,656
Denominators are 909,275
The GCF of 451,656 is 41 .
LCM of 909,275 is 249975.
The greatest common factor of 451/909,656/275 = [GCF of 451,656]/[LCM of 909,275]= 41/249975
Therefore, the GCF of 451/909,656/275 is 41/249975.
To find the highest common factor of 451,656, we have to find the factors of both numbers and list the highest common factor.
The factors of 451 are 1, 11, 41, 451
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The HCF of 451,656 is 41.
Lets's calculate GCF of 451,656
| 41 | 451, 656 |
| 11, 16 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 451,656 By Matching Biggest Common Factor Method
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 451,656 . The biggest common factor number is the GCF number.
So the greatest common factor 451,656 is 41.
Lets's calculate LCM of 909,275
Given numbers has no common factors except 1. So, there LCM is their product i.e 249975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/249975
Therefore, the GCF of Fractions 451/909,656/275 is 41/249975
Least Common Multiple of 909,275 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 909,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,275) x common factors =1 x 1 = 1
LCM(909,275) = ( 909 × 275 ) / 1
LCM(909,275) = 249975 / 1
LCM(909,275) = 249975
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FAQs on GCF of Fractions of 451/909, 656/275
1. What is the HCF of 451,656?
The HCF of 451,656 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 451/909, 656/275?
Answer: GCF of Numerators as per given numbers 451/909, 656/275 is
GCF of Numerators i.e. for 451,656 is 41
LCM of denominators i.e. for 909,275 is 249975.
Thus, GCF of Fractions is 41/249975.Finally, GCF of Fractions for 451/909, 656/275 is 41/249975.