GCF of 501/431, 5082/370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 501/431, 5082/370 i.e 3/159470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/431, 5082/370.
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 501/431,5082/370?
Given fractions are 501/431,5082/370
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 501/431,5082/370, numerators are 501,5082
Denominators are 431,370
The GCF of 501,5082 is 3 .
LCM of 431,370 is 159470.
The greatest common factor of 501/431,5082/370 = [GCF of 501,5082]/[LCM of 431,370]= 3/159470
Therefore, the GCF of 501/431,5082/370 is 3/159470.
To find the highest common factor of 501,5082, we have to find the factors of both numbers and list the highest common factor.
The factors of 501 are 1, 3, 167, 501
The factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082
The HCF of 501,5082 is 3.
Lets's calculate GCF of 501,5082
| 3 | 501, 5082 |
| 167, 1694 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 501,5082 By Matching Biggest Common Factor Method
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 5082
:1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082
Greatest Common Factor
We found the factors 501,5082 . The biggest common factor number is the GCF number.
So the greatest common factor 501,5082 is 3.
Lets's calculate LCM of 431,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 159470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/159470
Therefore, the GCF of Fractions 501/431,5082/370 is 3/159470
Least Common Multiple of 431,370 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 431,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,370) x common factors =1 x 1 = 1
LCM(431,370) = ( 431 × 370 ) / 1
LCM(431,370) = 159470 / 1
LCM(431,370) = 159470
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FAQs on GCF of Fractions of 501/431, 5082/370
1. What is the HCF of 501,5082?
The HCF of 501,5082 is 3
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 501/431, 5082/370?
Answer: GCF of Numerators as per given numbers 501/431, 5082/370 is
GCF of Numerators i.e. for 501,5082 is 3
LCM of denominators i.e. for 431,370 is 159470.
Thus, GCF of Fractions is 3/159470.Finally, GCF of Fractions for 501/431, 5082/370 is 3/159470.