GCF of 1000/541, 4943/4901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1000/541, 4943/4901 i.e 1/2651441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1000/541, 4943/4901.
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 1000/541,4943/4901?
Given fractions are 1000/541,4943/4901
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 1000/541,4943/4901, numerators are 1000,4943
Denominators are 541,4901
The GCF of 1000,4943 is 1 .
LCM of 541,4901 is 2651441.
The greatest common factor of 1000/541,4943/4901 = [GCF of 1000,4943]/[LCM of 541,4901]= 1/2651441
Therefore, the GCF of 1000/541,4943/4901 is 1/2651441.
To find the highest common factor of 1000,4943, we have to find the factors of both numbers and list the highest common factor.
The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
The factors of 4943 are 1, 4943
The HCF of 1000,4943 is 1.
Lets's calculate GCF of 1000,4943
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1000,4943 By Matching Biggest Common Factor Method
Now, list down the factors of 1000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000
Now, list down the factors of 4943
:1,4943
Greatest Common Factor
We found the factors 1000,4943 . The biggest common factor number is the GCF number.
So the greatest common factor 1000,4943 is 1.
Lets's calculate LCM of 541,4901
Given numbers has no common factors except 1. So, there LCM is their product i.e 2651441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2651441
Therefore, the GCF of Fractions 1000/541,4943/4901 is 1/2651441
Least Common Multiple of 541,4901 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 541,4901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,4901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,4901) x common factors =1 x 1 = 1
LCM(541,4901) = ( 541 × 4901 ) / 1
LCM(541,4901) = 2651441 / 1
LCM(541,4901) = 2651441
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1000/541, 4943/4901
1. What is the HCF of 1000,4943?
The HCF of 1000,4943 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 1000/541, 4943/4901?
Answer: GCF of Numerators as per given numbers 1000/541, 4943/4901 is
GCF of Numerators i.e. for 1000,4943 is 1
LCM of denominators i.e. for 541,4901 is 2651441.
Thus, GCF of Fractions is 1/2651441.Finally, GCF of Fractions for 1000/541, 4943/4901 is 1/2651441.