GCF of 8881/455, 7975/5928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8881/455, 7975/5928 i.e 1/207480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8881/455, 7975/5928.
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 8881/455,7975/5928?
Given fractions are 8881/455,7975/5928
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 8881/455,7975/5928, numerators are 8881,7975
Denominators are 455,5928
The GCF of 8881,7975 is 1 .
LCM of 455,5928 is 207480.
The greatest common factor of 8881/455,7975/5928 = [GCF of 8881,7975]/[LCM of 455,5928]= 1/207480
Therefore, the GCF of 8881/455,7975/5928 is 1/207480.
To find the highest common factor of 8881,7975, we have to find the factors of both numbers and list the highest common factor.
The factors of 8881 are 1, 83, 107, 8881
The factors of 7975 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975
The HCF of 8881,7975 is 1.
Lets's calculate GCF of 8881,7975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8881,7975 By Matching Biggest Common Factor Method
Now, list down the factors of 8881
:1,83,107,8881
Now, list down the factors of 7975
:1,5,11,25,29,55,145,275,319,725,1595,7975
Greatest Common Factor
We found the factors 8881,7975 . The biggest common factor number is the GCF number.
So the greatest common factor 8881,7975 is 1.
Lets's calculate LCM of 455,5928
| 13 | 455, 5928 |
| 35, 456 |
∴ So the LCM of the given numbers is 13 x 35 x 456 = 207480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207480
Therefore, the GCF of Fractions 8881/455,7975/5928 is 1/207480
Least Common Multiple of 455,5928 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 455,5928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,5928) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(455,5928) x common factors =13 x 1 = 13
LCM(455,5928) = ( 455 × 5928 ) / 13
LCM(455,5928) = 2697240 / 13
LCM(455,5928) = 207480
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8881/455, 7975/5928
1. What is the HCF of 8881,7975?
The HCF of 8881,7975 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 8881/455, 7975/5928?
Answer: GCF of Numerators as per given numbers 8881/455, 7975/5928 is
GCF of Numerators i.e. for 8881,7975 is 1
LCM of denominators i.e. for 455,5928 is 207480.
Thus, GCF of Fractions is 1/207480.Finally, GCF of Fractions for 8881/455, 7975/5928 is 1/207480.