GCF of 5911/461, 2358/3641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5911/461, 2358/3641 i.e 1/1678501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5911/461, 2358/3641.
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 5911/461,2358/3641?
Given fractions are 5911/461,2358/3641
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 5911/461,2358/3641, numerators are 5911,2358
Denominators are 461,3641
The GCF of 5911,2358 is 1 .
LCM of 461,3641 is 1678501.
The greatest common factor of 5911/461,2358/3641 = [GCF of 5911,2358]/[LCM of 461,3641]= 1/1678501
Therefore, the GCF of 5911/461,2358/3641 is 1/1678501.
To find the highest common factor of 5911,2358, we have to find the factors of both numbers and list the highest common factor.
The factors of 5911 are 1, 23, 257, 5911
The factors of 2358 are 1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358
The HCF of 5911,2358 is 1.
Lets's calculate GCF of 5911,2358
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5911,2358 By Matching Biggest Common Factor Method
Now, list down the factors of 5911
:1,23,257,5911
Now, list down the factors of 2358
:1,2,3,6,9,18,131,262,393,786,1179,2358
Greatest Common Factor
We found the factors 5911,2358 . The biggest common factor number is the GCF number.
So the greatest common factor 5911,2358 is 1.
Lets's calculate LCM of 461,3641
Given numbers has no common factors except 1. So, there LCM is their product i.e 1678501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1678501
Therefore, the GCF of Fractions 5911/461,2358/3641 is 1/1678501
Least Common Multiple of 461,3641 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 461,3641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,3641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,3641) x common factors =1 x 1 = 1
LCM(461,3641) = ( 461 × 3641 ) / 1
LCM(461,3641) = 1678501 / 1
LCM(461,3641) = 1678501
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FAQs on GCF of Fractions of 5911/461, 2358/3641
1. What is the HCF of 5911,2358?
The HCF of 5911,2358 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 5911/461, 2358/3641?
Answer: GCF of Numerators as per given numbers 5911/461, 2358/3641 is
GCF of Numerators i.e. for 5911,2358 is 1
LCM of denominators i.e. for 461,3641 is 1678501.
Thus, GCF of Fractions is 1/1678501.Finally, GCF of Fractions for 5911/461, 2358/3641 is 1/1678501.