GCF of 6358/493, 1458/9301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6358/493, 1458/9301 i.e 2/4585393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6358/493, 1458/9301.
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 6358/493,1458/9301?
Given fractions are 6358/493,1458/9301
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 6358/493,1458/9301, numerators are 6358,1458
Denominators are 493,9301
The GCF of 6358,1458 is 2 .
LCM of 493,9301 is 4585393.
The greatest common factor of 6358/493,1458/9301 = [GCF of 6358,1458]/[LCM of 493,9301]= 2/4585393
Therefore, the GCF of 6358/493,1458/9301 is 2/4585393.
To find the highest common factor of 6358,1458, we have to find the factors of both numbers and list the highest common factor.
The factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358
The factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458
The HCF of 6358,1458 is 2.
Lets's calculate GCF of 6358,1458
| 2 | 6358, 1458 |
| 3179, 729 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6358,1458 By Matching Biggest Common Factor Method
Now, list down the factors of 6358
:1,2,11,17,22,34,187,289,374,578,3179,6358
Now, list down the factors of 1458
:1,2,3,6,9,18,27,54,81,162,243,486,729,1458
Greatest Common Factor
We found the factors 6358,1458 . The biggest common factor number is the GCF number.
So the greatest common factor 6358,1458 is 2.
Lets's calculate LCM of 493,9301
Given numbers has no common factors except 1. So, there LCM is their product i.e 4585393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4585393
Therefore, the GCF of Fractions 6358/493,1458/9301 is 2/4585393
Least Common Multiple of 493,9301 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 493,9301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,9301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,9301) x common factors =1 x 1 = 1
LCM(493,9301) = ( 493 × 9301 ) / 1
LCM(493,9301) = 4585393 / 1
LCM(493,9301) = 4585393
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FAQs on GCF of Fractions of 6358/493, 1458/9301
1. What is the HCF of 6358,1458?
The HCF of 6358,1458 is 2
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 6358/493, 1458/9301?
Answer: GCF of Numerators as per given numbers 6358/493, 1458/9301 is
GCF of Numerators i.e. for 6358,1458 is 2
LCM of denominators i.e. for 493,9301 is 4585393.
Thus, GCF of Fractions is 2/4585393.Finally, GCF of Fractions for 6358/493, 1458/9301 is 2/4585393.