GCF of 5951/613, 2000/2912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5951/613, 2000/2912 i.e 1/1785056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5951/613, 2000/2912.
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 5951/613,2000/2912?
Given fractions are 5951/613,2000/2912
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 5951/613,2000/2912, numerators are 5951,2000
Denominators are 613,2912
The GCF of 5951,2000 is 1 .
LCM of 613,2912 is 1785056.
The greatest common factor of 5951/613,2000/2912 = [GCF of 5951,2000]/[LCM of 613,2912]= 1/1785056
Therefore, the GCF of 5951/613,2000/2912 is 1/1785056.
To find the highest common factor of 5951,2000, we have to find the factors of both numbers and list the highest common factor.
The factors of 5951 are 1, 11, 541, 5951
The factors of 2000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
The HCF of 5951,2000 is 1.
Lets's calculate GCF of 5951,2000
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5951,2000 By Matching Biggest Common Factor Method
Now, list down the factors of 5951
:1,11,541,5951
Now, list down the factors of 2000
:1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000
Greatest Common Factor
We found the factors 5951,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 5951,2000 is 1.
Lets's calculate LCM of 613,2912
Given numbers has no common factors except 1. So, there LCM is their product i.e 1785056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1785056
Therefore, the GCF of Fractions 5951/613,2000/2912 is 1/1785056
Least Common Multiple of 613,2912 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 613,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,2912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,2912) x common factors =1 x 1 = 1
LCM(613,2912) = ( 613 × 2912 ) / 1
LCM(613,2912) = 1785056 / 1
LCM(613,2912) = 1785056
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FAQs on GCF of Fractions of 5951/613, 2000/2912
1. What is the HCF of 5951,2000?
The HCF of 5951,2000 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 5951/613, 2000/2912?
Answer: GCF of Numerators as per given numbers 5951/613, 2000/2912 is
GCF of Numerators i.e. for 5951,2000 is 1
LCM of denominators i.e. for 613,2912 is 1785056.
Thus, GCF of Fractions is 1/1785056.Finally, GCF of Fractions for 5951/613, 2000/2912 is 1/1785056.