GCF of 455/911, 9093/498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 455/911, 9093/498 i.e 7/453678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/911, 9093/498.
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 455/911,9093/498?
Given fractions are 455/911,9093/498
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 455/911,9093/498, numerators are 455,9093
Denominators are 911,498
The GCF of 455,9093 is 7 .
LCM of 911,498 is 453678.
The greatest common factor of 455/911,9093/498 = [GCF of 455,9093]/[LCM of 911,498]= 7/453678
Therefore, the GCF of 455/911,9093/498 is 7/453678.
To find the highest common factor of 455,9093, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 9093 are 1, 3, 7, 21, 433, 1299, 3031, 9093
The HCF of 455,9093 is 7.
Lets's calculate GCF of 455,9093
| 7 | 455, 9093 |
| 65, 1299 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 455,9093 By Matching Biggest Common Factor Method
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 9093
:1,3,7,21,433,1299,3031,9093
Greatest Common Factor
We found the factors 455,9093 . The biggest common factor number is the GCF number.
So the greatest common factor 455,9093 is 7.
Lets's calculate LCM of 911,498
Given numbers has no common factors except 1. So, there LCM is their product i.e 453678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/453678
Therefore, the GCF of Fractions 455/911,9093/498 is 7/453678
Least Common Multiple of 911,498 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 911,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,498) x common factors =1 x 1 = 1
LCM(911,498) = ( 911 × 498 ) / 1
LCM(911,498) = 453678 / 1
LCM(911,498) = 453678
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 455/911, 9093/498
1. What is the HCF of 455,9093?
The HCF of 455,9093 is 7
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 455/911, 9093/498?
Answer: GCF of Numerators as per given numbers 455/911, 9093/498 is
GCF of Numerators i.e. for 455,9093 is 7
LCM of denominators i.e. for 911,498 is 453678.
Thus, GCF of Fractions is 7/453678.Finally, GCF of Fractions for 455/911, 9093/498 is 7/453678.