GCF of 2462/180, 1971/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2462/180, 1971/486 i.e 1/4860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2462/180, 1971/486.
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 2462/180,1971/486?
Given fractions are 2462/180,1971/486
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 2462/180,1971/486, numerators are 2462,1971
Denominators are 180,486
The GCF of 2462,1971 is 1 .
LCM of 180,486 is 4860.
The greatest common factor of 2462/180,1971/486 = [GCF of 2462,1971]/[LCM of 180,486]= 1/4860
Therefore, the GCF of 2462/180,1971/486 is 1/4860.
To find the highest common factor of 2462,1971, we have to find the factors of both numbers and list the highest common factor.
The factors of 2462 are 1, 2, 1231, 2462
The factors of 1971 are 1, 3, 9, 27, 73, 219, 657, 1971
The HCF of 2462,1971 is 1.
Lets's calculate GCF of 2462,1971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2462,1971 By Matching Biggest Common Factor Method
Now, list down the factors of 2462
:1,2,1231,2462
Now, list down the factors of 1971
:1,3,9,27,73,219,657,1971
Greatest Common Factor
We found the factors 2462,1971 . The biggest common factor number is the GCF number.
So the greatest common factor 2462,1971 is 1.
Lets's calculate LCM of 180,486
| 2 | 180, 486 |
| 3 | 90, 243 |
| 3 | 30, 81 |
| 10, 27 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 10 x 27 = 4860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4860
Therefore, the GCF of Fractions 2462/180,1971/486 is 1/4860
Least Common Multiple of 180,486 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 180,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,486) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(180,486) x common factors =18 x 1 = 18
LCM(180,486) = ( 180 × 486 ) / 18
LCM(180,486) = 87480 / 18
LCM(180,486) = 4860
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FAQs on GCF of Fractions of 2462/180, 1971/486
1. What is the HCF of 2462,1971?
The HCF of 2462,1971 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 2462/180, 1971/486?
Answer: GCF of Numerators as per given numbers 2462/180, 1971/486 is
GCF of Numerators i.e. for 2462,1971 is 1
LCM of denominators i.e. for 180,486 is 4860.
Thus, GCF of Fractions is 1/4860.Finally, GCF of Fractions for 2462/180, 1971/486 is 1/4860.