GCF of 43/268, 90/243, 951/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/268, 90/243, 951/831 i.e 1/18039348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/268, 90/243, 951/831.
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 43/268,90/243,951/831?
Given fractions are 43/268,90/243,951/831
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 43/268,90/243,951/831, numerators are 43,90,951
Denominators are 268,243,831
The GCF of 43,90,951 is 1 .
LCM of 268,243,831 is 18039348.
The greatest common factor of 43/268,90/243,951/831 = [GCF of 43,90,951]/[LCM of 268,243,831]= 1/18039348
Therefore, the GCF of 43/268,90/243,951/831 is 1/18039348.
To find the highest common factor of 43,90,951, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 951 are 1, 3, 317, 951
The HCF of 43,90,951 is 1.
Lets's calculate GCF of 43,90,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,90,951 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 951
:1,3,317,951
Greatest Common Factor
We found the factors 43,90,951 . The biggest common factor number is the GCF number.
So the greatest common factor 43,90,951 is 1.
Lets's calculate LCM of 268,243,831
| 3 | 268, 243, 831 |
| 268, 81, 277 |
∴ So the LCM of the given numbers is 3 x 268 x 81 x 277 = 18039348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18039348
Therefore, the GCF of Fractions 43/268,90/243,951/831 is 1/18039348
Least Common Multiple of 268,243,831 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 268,243,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,243,831) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(268,243,831) x common factors =1 x 3 = 3
LCM(268,243,831) = ( 268 × 243 × 831 ) / 3
LCM(268,243,831) = 54118044 / 3
LCM(268,243,831) = 18039348
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 43/268, 90/243, 951/831
1. What is the HCF of 43,90,951?
The HCF of 43,90,951 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 43/268, 90/243, 951/831?
Answer: GCF of Numerators as per given numbers 43/268, 90/243, 951/831 is
GCF of Numerators i.e. for 43,90,951 is 1
LCM of denominators i.e. for 268,243,831 is 18039348.
Thus, GCF of Fractions is 1/18039348.Finally, GCF of Fractions for 43/268, 90/243, 951/831 is 1/18039348.