GCF of 5186/853, 5661/1956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5186/853, 5661/1956 i.e 1/1668468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5186/853, 5661/1956.
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 5186/853,5661/1956?
Given fractions are 5186/853,5661/1956
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 5186/853,5661/1956, numerators are 5186,5661
Denominators are 853,1956
The GCF of 5186,5661 is 1 .
LCM of 853,1956 is 1668468.
The greatest common factor of 5186/853,5661/1956 = [GCF of 5186,5661]/[LCM of 853,1956]= 1/1668468
Therefore, the GCF of 5186/853,5661/1956 is 1/1668468.
To find the highest common factor of 5186,5661, we have to find the factors of both numbers and list the highest common factor.
The factors of 5186 are 1, 2, 2593, 5186
The factors of 5661 are 1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887, 5661
The HCF of 5186,5661 is 1.
Lets's calculate GCF of 5186,5661
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5186,5661 By Matching Biggest Common Factor Method
Now, list down the factors of 5186
:1,2,2593,5186
Now, list down the factors of 5661
:1,3,9,17,37,51,111,153,333,629,1887,5661
Greatest Common Factor
We found the factors 5186,5661 . The biggest common factor number is the GCF number.
So the greatest common factor 5186,5661 is 1.
Lets's calculate LCM of 853,1956
Given numbers has no common factors except 1. So, there LCM is their product i.e 1668468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1668468
Therefore, the GCF of Fractions 5186/853,5661/1956 is 1/1668468
Least Common Multiple of 853,1956 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 853,1956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,1956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,1956) x common factors =1 x 1 = 1
LCM(853,1956) = ( 853 × 1956 ) / 1
LCM(853,1956) = 1668468 / 1
LCM(853,1956) = 1668468
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FAQs on GCF of Fractions of 5186/853, 5661/1956
1. What is the HCF of 5186,5661?
The HCF of 5186,5661 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 5186/853, 5661/1956?
Answer: GCF of Numerators as per given numbers 5186/853, 5661/1956 is
GCF of Numerators i.e. for 5186,5661 is 1
LCM of denominators i.e. for 853,1956 is 1668468.
Thus, GCF of Fractions is 1/1668468.Finally, GCF of Fractions for 5186/853, 5661/1956 is 1/1668468.