GCF of 203/303, 431/521, 426/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 203/303, 431/521, 426/101 i.e 1/157863 easily. The following is the detailed procedure to determine the greatest common factor of fractions 203/303, 431/521, 426/101.
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 203/303,431/521,426/101?
Given fractions are 203/303,431/521,426/101
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 203/303,431/521,426/101, numerators are 203,431,426
Denominators are 303,521,101
The GCF of 203,431,426 is 1 .
LCM of 303,521,101 is 157863.
The greatest common factor of 203/303,431/521,426/101 = [GCF of 203,431,426]/[LCM of 303,521,101]= 1/157863
Therefore, the GCF of 203/303,431/521,426/101 is 1/157863.
To find the highest common factor of 203,431,426, we have to find the factors of both numbers and list the highest common factor.
The factors of 203 are 1, 7, 29, 203
The factors of 431 are 1, 431
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426
The HCF of 203,431,426 is 1.
Lets's calculate GCF of 203,431,426
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 203,431,426 By Matching Biggest Common Factor Method
Now, list down the factors of 203
:1,7,29,203
Now, list down the factors of 431
:1,431
Now, list down the factors of 426
:1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 203,431,426 . The biggest common factor number is the GCF number.
So the greatest common factor 203,431,426 is 1.
Lets's calculate LCM of 303,521,101
| 101 | 303, 521, 101 |
| 3, 521, 1 |
∴ So the LCM of the given numbers is 101 x 3 x 521 x 1 = 157863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157863
Therefore, the GCF of Fractions 203/303,431/521,426/101 is 1/157863
Least Common Multiple of 303,521,101 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 303,521,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,521,101) = 1
common factors(in case of two or more numbers have common factors) = 101
GCF(303,521,101) x common factors =1 x 101 = 101
LCM(303,521,101) = ( 303 × 521 × 101 ) / 101
LCM(303,521,101) = 15944163 / 101
LCM(303,521,101) = 157863
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 203/303, 431/521, 426/101
1. What is the HCF of 203,431,426?
The HCF of 203,431,426 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 203/303, 431/521, 426/101?
Answer: GCF of Numerators as per given numbers 203/303, 431/521, 426/101 is
GCF of Numerators i.e. for 203,431,426 is 1
LCM of denominators i.e. for 303,521,101 is 157863.
Thus, GCF of Fractions is 1/157863.Finally, GCF of Fractions for 203/303, 431/521, 426/101 is 1/157863.