GCF of 2921/858, 9231/2145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2921/858, 9231/2145 i.e 1/4290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2921/858, 9231/2145.
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 2921/858,9231/2145?
Given fractions are 2921/858,9231/2145
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 2921/858,9231/2145, numerators are 2921,9231
Denominators are 858,2145
The GCF of 2921,9231 is 1 .
LCM of 858,2145 is 4290.
The greatest common factor of 2921/858,9231/2145 = [GCF of 2921,9231]/[LCM of 858,2145]= 1/4290
Therefore, the GCF of 2921/858,9231/2145 is 1/4290.
To find the highest common factor of 2921,9231, we have to find the factors of both numbers and list the highest common factor.
The factors of 2921 are 1, 23, 127, 2921
The factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231
The HCF of 2921,9231 is 1.
Lets's calculate GCF of 2921,9231
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2921,9231 By Matching Biggest Common Factor Method
Now, list down the factors of 2921
:1,23,127,2921
Now, list down the factors of 9231
:1,3,17,51,181,543,3077,9231
Greatest Common Factor
We found the factors 2921,9231 . The biggest common factor number is the GCF number.
So the greatest common factor 2921,9231 is 1.
Lets's calculate LCM of 858,2145
| 3 | 858, 2145 |
| 11 | 286, 715 |
| 13 | 26, 65 |
| 2, 5 |
∴ So the LCM of the given numbers is 3 x 11 x 13 x 2 x 5 = 4290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4290
Therefore, the GCF of Fractions 2921/858,9231/2145 is 1/4290
Least Common Multiple of 858,2145 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 858,2145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,2145) = 429
common factors(in case of two or more numbers have common factors) = 1
GCF(858,2145) x common factors =429 x 1 = 429
LCM(858,2145) = ( 858 × 2145 ) / 429
LCM(858,2145) = 1840410 / 429
LCM(858,2145) = 4290
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2921/858, 9231/2145
1. What is the HCF of 2921,9231?
The HCF of 2921,9231 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 2921/858, 9231/2145?
Answer: GCF of Numerators as per given numbers 2921/858, 9231/2145 is
GCF of Numerators i.e. for 2921,9231 is 1
LCM of denominators i.e. for 858,2145 is 4290.
Thus, GCF of Fractions is 1/4290.Finally, GCF of Fractions for 2921/858, 9231/2145 is 1/4290.