GCF of 9055/473, 2054/5995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9055/473, 2054/5995 i.e 1/257785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9055/473, 2054/5995.
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 9055/473,2054/5995?
Given fractions are 9055/473,2054/5995
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 9055/473,2054/5995, numerators are 9055,2054
Denominators are 473,5995
The GCF of 9055,2054 is 1 .
LCM of 473,5995 is 257785.
The greatest common factor of 9055/473,2054/5995 = [GCF of 9055,2054]/[LCM of 473,5995]= 1/257785
Therefore, the GCF of 9055/473,2054/5995 is 1/257785.
To find the highest common factor of 9055,2054, we have to find the factors of both numbers and list the highest common factor.
The factors of 9055 are 1, 5, 1811, 9055
The factors of 2054 are 1, 2, 13, 26, 79, 158, 1027, 2054
The HCF of 9055,2054 is 1.
Lets's calculate GCF of 9055,2054
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9055,2054 By Matching Biggest Common Factor Method
Now, list down the factors of 9055
:1,5,1811,9055
Now, list down the factors of 2054
:1,2,13,26,79,158,1027,2054
Greatest Common Factor
We found the factors 9055,2054 . The biggest common factor number is the GCF number.
So the greatest common factor 9055,2054 is 1.
Lets's calculate LCM of 473,5995
| 11 | 473, 5995 |
| 43, 545 |
∴ So the LCM of the given numbers is 11 x 43 x 545 = 257785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257785
Therefore, the GCF of Fractions 9055/473,2054/5995 is 1/257785
Least Common Multiple of 473,5995 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 473,5995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,5995) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(473,5995) x common factors =11 x 1 = 11
LCM(473,5995) = ( 473 × 5995 ) / 11
LCM(473,5995) = 2835635 / 11
LCM(473,5995) = 257785
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9055/473, 2054/5995
1. What is the HCF of 9055,2054?
The HCF of 9055,2054 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 9055/473, 2054/5995?
Answer: GCF of Numerators as per given numbers 9055/473, 2054/5995 is
GCF of Numerators i.e. for 9055,2054 is 1
LCM of denominators i.e. for 473,5995 is 257785.
Thus, GCF of Fractions is 1/257785.Finally, GCF of Fractions for 9055/473, 2054/5995 is 1/257785.