GCF of 6089/406, 4965/3796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6089/406, 4965/3796 i.e 1/770588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6089/406, 4965/3796.
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 6089/406,4965/3796?
Given fractions are 6089/406,4965/3796
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 6089/406,4965/3796, numerators are 6089,4965
Denominators are 406,3796
The GCF of 6089,4965 is 1 .
LCM of 406,3796 is 770588.
The greatest common factor of 6089/406,4965/3796 = [GCF of 6089,4965]/[LCM of 406,3796]= 1/770588
Therefore, the GCF of 6089/406,4965/3796 is 1/770588.
To find the highest common factor of 6089,4965, we have to find the factors of both numbers and list the highest common factor.
The factors of 6089 are 1, 6089
The factors of 4965 are 1, 3, 5, 15, 331, 993, 1655, 4965
The HCF of 6089,4965 is 1.
Lets's calculate GCF of 6089,4965
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6089,4965 By Matching Biggest Common Factor Method
Now, list down the factors of 6089
:1,6089
Now, list down the factors of 4965
:1,3,5,15,331,993,1655,4965
Greatest Common Factor
We found the factors 6089,4965 . The biggest common factor number is the GCF number.
So the greatest common factor 6089,4965 is 1.
Lets's calculate LCM of 406,3796
| 2 | 406, 3796 |
| 203, 1898 |
∴ So the LCM of the given numbers is 2 x 203 x 1898 = 770588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/770588
Therefore, the GCF of Fractions 6089/406,4965/3796 is 1/770588
Least Common Multiple of 406,3796 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 406,3796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,3796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,3796) x common factors =2 x 1 = 2
LCM(406,3796) = ( 406 × 3796 ) / 2
LCM(406,3796) = 1541176 / 2
LCM(406,3796) = 770588
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FAQs on GCF of Fractions of 6089/406, 4965/3796
1. What is the HCF of 6089,4965?
The HCF of 6089,4965 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 6089/406, 4965/3796?
Answer: GCF of Numerators as per given numbers 6089/406, 4965/3796 is
GCF of Numerators i.e. for 6089,4965 is 1
LCM of denominators i.e. for 406,3796 is 770588.
Thus, GCF of Fractions is 1/770588.Finally, GCF of Fractions for 6089/406, 4965/3796 is 1/770588.