GCF of 451/372, 431/428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 451/372, 431/428 i.e 1/39804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/372, 431/428.
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 451/372,431/428?
Given fractions are 451/372,431/428
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 451/372,431/428, numerators are 451,431
Denominators are 372,428
The GCF of 451,431 is 1 .
LCM of 372,428 is 39804.
The greatest common factor of 451/372,431/428 = [GCF of 451,431]/[LCM of 372,428]= 1/39804
Therefore, the GCF of 451/372,431/428 is 1/39804.
To find the highest common factor of 451,431, we have to find the factors of both numbers and list the highest common factor.
The factors of 451 are 1, 11, 41, 451
The factors of 431 are 1, 431
The HCF of 451,431 is 1.
Lets's calculate GCF of 451,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 451,431 By Matching Biggest Common Factor Method
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 431
:1,431
Greatest Common Factor
We found the factors 451,431 . The biggest common factor number is the GCF number.
So the greatest common factor 451,431 is 1.
Lets's calculate LCM of 372,428
| 2 | 372, 428 |
| 2 | 186, 214 |
| 93, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 93 x 107 = 39804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39804
Therefore, the GCF of Fractions 451/372,431/428 is 1/39804
Least Common Multiple of 372,428 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 372,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,428) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(372,428) x common factors =4 x 1 = 4
LCM(372,428) = ( 372 × 428 ) / 4
LCM(372,428) = 159216 / 4
LCM(372,428) = 39804
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FAQs on GCF of Fractions of 451/372, 431/428
1. What is the HCF of 451,431?
The HCF of 451,431 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 451/372, 431/428?
Answer: GCF of Numerators as per given numbers 451/372, 431/428 is
GCF of Numerators i.e. for 451,431 is 1
LCM of denominators i.e. for 372,428 is 39804.
Thus, GCF of Fractions is 1/39804.Finally, GCF of Fractions for 451/372, 431/428 is 1/39804.