GCF of 431/125, 7982/845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 431/125, 7982/845 i.e 1/21125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 431/125, 7982/845.
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 431/125,7982/845?
Given fractions are 431/125,7982/845
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 431/125,7982/845, numerators are 431,7982
Denominators are 125,845
The GCF of 431,7982 is 1 .
LCM of 125,845 is 21125.
The greatest common factor of 431/125,7982/845 = [GCF of 431,7982]/[LCM of 125,845]= 1/21125
Therefore, the GCF of 431/125,7982/845 is 1/21125.
To find the highest common factor of 431,7982, we have to find the factors of both numbers and list the highest common factor.
The factors of 431 are 1, 431
The factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982
The HCF of 431,7982 is 1.
Lets's calculate GCF of 431,7982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 431,7982 By Matching Biggest Common Factor Method
Now, list down the factors of 431
:1,431
Now, list down the factors of 7982
:1,2,13,26,307,614,3991,7982
Greatest Common Factor
We found the factors 431,7982 . The biggest common factor number is the GCF number.
So the greatest common factor 431,7982 is 1.
Lets's calculate LCM of 125,845
| 5 | 125, 845 |
| 25, 169 |
∴ So the LCM of the given numbers is 5 x 25 x 169 = 21125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21125
Therefore, the GCF of Fractions 431/125,7982/845 is 1/21125
Least Common Multiple of 125,845 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 125,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,845) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(125,845) x common factors =5 x 1 = 5
LCM(125,845) = ( 125 × 845 ) / 5
LCM(125,845) = 105625 / 5
LCM(125,845) = 21125
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FAQs on GCF of Fractions of 431/125, 7982/845
1. What is the HCF of 431,7982?
The HCF of 431,7982 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 431/125, 7982/845?
Answer: GCF of Numerators as per given numbers 431/125, 7982/845 is
GCF of Numerators i.e. for 431,7982 is 1
LCM of denominators i.e. for 125,845 is 21125.
Thus, GCF of Fractions is 1/21125.Finally, GCF of Fractions for 431/125, 7982/845 is 1/21125.