GCF of 92/489, 90/142, 971/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/489, 90/142, 971/396 i.e 1/4582908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/489, 90/142, 971/396.
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 92/489,90/142,971/396?
Given fractions are 92/489,90/142,971/396
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 92/489,90/142,971/396, numerators are 92,90,971
Denominators are 489,142,396
The GCF of 92,90,971 is 1 .
LCM of 489,142,396 is 4582908.
The greatest common factor of 92/489,90/142,971/396 = [GCF of 92,90,971]/[LCM of 489,142,396]= 1/4582908
Therefore, the GCF of 92/489,90/142,971/396 is 1/4582908.
To find the highest common factor of 92,90,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 971 are 1, 971
The HCF of 92,90,971 is 1.
Lets's calculate GCF of 92,90,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,90,971 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 92,90,971 . The biggest common factor number is the GCF number.
So the greatest common factor 92,90,971 is 1.
Lets's calculate LCM of 489,142,396
| 2 | 489, 142, 396 |
| 3 | 489, 71, 198 |
| 163, 71, 66 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 71 x 66 = 4582908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4582908
Therefore, the GCF of Fractions 92/489,90/142,971/396 is 1/4582908
Least Common Multiple of 489,142,396 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 489,142,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,142,396) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(489,142,396) x common factors =1 x 6 = 6
LCM(489,142,396) = ( 489 × 142 × 396 ) / 6
LCM(489,142,396) = 27497448 / 6
LCM(489,142,396) = 4582908
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FAQs on GCF of Fractions of 92/489, 90/142, 971/396
1. What is the HCF of 92,90,971?
The HCF of 92,90,971 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 92/489, 90/142, 971/396?
Answer: GCF of Numerators as per given numbers 92/489, 90/142, 971/396 is
GCF of Numerators i.e. for 92,90,971 is 1
LCM of denominators i.e. for 489,142,396 is 4582908.
Thus, GCF of Fractions is 1/4582908.Finally, GCF of Fractions for 92/489, 90/142, 971/396 is 1/4582908.