GCF of 8040/141, 5431/1995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8040/141, 5431/1995 i.e 1/93765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8040/141, 5431/1995.
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 8040/141,5431/1995?
Given fractions are 8040/141,5431/1995
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 8040/141,5431/1995, numerators are 8040,5431
Denominators are 141,1995
The GCF of 8040,5431 is 1 .
LCM of 141,1995 is 93765.
The greatest common factor of 8040/141,5431/1995 = [GCF of 8040,5431]/[LCM of 141,1995]= 1/93765
Therefore, the GCF of 8040/141,5431/1995 is 1/93765.
To find the highest common factor of 8040,5431, we have to find the factors of both numbers and list the highest common factor.
The factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040
The factors of 5431 are 1, 5431
The HCF of 8040,5431 is 1.
Lets's calculate GCF of 8040,5431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8040,5431 By Matching Biggest Common Factor Method
Now, list down the factors of 8040
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040
Now, list down the factors of 5431
:1,5431
Greatest Common Factor
We found the factors 8040,5431 . The biggest common factor number is the GCF number.
So the greatest common factor 8040,5431 is 1.
Lets's calculate LCM of 141,1995
| 3 | 141, 1995 |
| 47, 665 |
∴ So the LCM of the given numbers is 3 x 47 x 665 = 93765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93765
Therefore, the GCF of Fractions 8040/141,5431/1995 is 1/93765
Least Common Multiple of 141,1995 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 141,1995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,1995) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(141,1995) x common factors =3 x 1 = 3
LCM(141,1995) = ( 141 × 1995 ) / 3
LCM(141,1995) = 281295 / 3
LCM(141,1995) = 93765
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FAQs on GCF of Fractions of 8040/141, 5431/1995
1. What is the HCF of 8040,5431?
The HCF of 8040,5431 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 8040/141, 5431/1995?
Answer: GCF of Numerators as per given numbers 8040/141, 5431/1995 is
GCF of Numerators i.e. for 8040,5431 is 1
LCM of denominators i.e. for 141,1995 is 93765.
Thus, GCF of Fractions is 1/93765.Finally, GCF of Fractions for 8040/141, 5431/1995 is 1/93765.