GCF of 141/17, 984/95, 408/31
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 141/17, 984/95, 408/31 i.e 3/50065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/17, 984/95, 408/31.
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 141/17,984/95,408/31?
Given fractions are 141/17,984/95,408/31
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 141/17,984/95,408/31, numerators are 141,984,408
Denominators are 17,95,31
The GCF of 141,984,408 is 3 .
LCM of 17,95,31 is 50065.
The greatest common factor of 141/17,984/95,408/31 = [GCF of 141,984,408]/[LCM of 17,95,31]= 3/50065
Therefore, the GCF of 141/17,984/95,408/31 is 3/50065.
To find the highest common factor of 141,984,408, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The HCF of 141,984,408 is 3.
Lets's calculate GCF of 141,984,408
| 3 | 141, 984, 408 |
| 47, 328, 136 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 141,984,408 By Matching Biggest Common Factor Method
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 984
:1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Now, list down the factors of 408
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 141,984,408 . The biggest common factor number is the GCF number.
So the greatest common factor 141,984,408 is 3.
Lets's calculate LCM of 17,95,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 50065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50065
Therefore, the GCF of Fractions 141/17,984/95,408/31 is 3/50065
Least Common Multiple of 17,95,31 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 17,95,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,95,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,95,31) x common factors =1 x 1 = 1
LCM(17,95,31) = ( 17 × 95 × 31 ) / 1
LCM(17,95,31) = 50065 / 1
LCM(17,95,31) = 50065
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FAQs on GCF of Fractions of 141/17, 984/95, 408/31
1. What is the HCF of 141,984,408?
The HCF of 141,984,408 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 141/17, 984/95, 408/31?
Answer: GCF of Numerators as per given numbers 141/17, 984/95, 408/31 is
GCF of Numerators i.e. for 141,984,408 is 3
LCM of denominators i.e. for 17,95,31 is 50065.
Thus, GCF of Fractions is 3/50065.Finally, GCF of Fractions for 141/17, 984/95, 408/31 is 3/50065.