GCF of 462/58, 301/73, 752/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 462/58, 301/73, 752/493 i.e 1/71978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/58, 301/73, 752/493.
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 462/58,301/73,752/493?
Given fractions are 462/58,301/73,752/493
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 462/58,301/73,752/493, numerators are 462,301,752
Denominators are 58,73,493
The GCF of 462,301,752 is 1 .
LCM of 58,73,493 is 71978.
The greatest common factor of 462/58,301/73,752/493 = [GCF of 462,301,752]/[LCM of 58,73,493]= 1/71978
Therefore, the GCF of 462/58,301/73,752/493 is 1/71978.
To find the highest common factor of 462,301,752, we have to find the factors of both numbers and list the highest common factor.
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The factors of 301 are 1, 7, 43, 301
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The HCF of 462,301,752 is 1.
Lets's calculate GCF of 462,301,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 462,301,752 By Matching Biggest Common Factor Method
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 462,301,752 . The biggest common factor number is the GCF number.
So the greatest common factor 462,301,752 is 1.
Lets's calculate LCM of 58,73,493
| 29 | 58, 73, 493 |
| 2, 73, 17 |
∴ So the LCM of the given numbers is 29 x 2 x 73 x 17 = 71978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71978
Therefore, the GCF of Fractions 462/58,301/73,752/493 is 1/71978
Least Common Multiple of 58,73,493 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 58,73,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,73,493) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(58,73,493) x common factors =1 x 29 = 29
LCM(58,73,493) = ( 58 × 73 × 493 ) / 29
LCM(58,73,493) = 2087362 / 29
LCM(58,73,493) = 71978
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FAQs on GCF of Fractions of 462/58, 301/73, 752/493
1. What is the HCF of 462,301,752?
The HCF of 462,301,752 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 462/58, 301/73, 752/493?
Answer: GCF of Numerators as per given numbers 462/58, 301/73, 752/493 is
GCF of Numerators i.e. for 462,301,752 is 1
LCM of denominators i.e. for 58,73,493 is 71978.
Thus, GCF of Fractions is 1/71978.Finally, GCF of Fractions for 462/58, 301/73, 752/493 is 1/71978.