GCF of 3301/759, 9803/6143
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3301/759, 9803/6143 i.e 1/4662537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3301/759, 9803/6143.
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 3301/759,9803/6143?
Given fractions are 3301/759,9803/6143
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 3301/759,9803/6143, numerators are 3301,9803
Denominators are 759,6143
The GCF of 3301,9803 is 1 .
LCM of 759,6143 is 4662537.
The greatest common factor of 3301/759,9803/6143 = [GCF of 3301,9803]/[LCM of 759,6143]= 1/4662537
Therefore, the GCF of 3301/759,9803/6143 is 1/4662537.
To find the highest common factor of 3301,9803, we have to find the factors of both numbers and list the highest common factor.
The factors of 3301 are 1, 3301
The factors of 9803 are 1, 9803
The HCF of 3301,9803 is 1.
Lets's calculate GCF of 3301,9803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3301,9803 By Matching Biggest Common Factor Method
Now, list down the factors of 3301
:1,3301
Now, list down the factors of 9803
:1,9803
Greatest Common Factor
We found the factors 3301,9803 . The biggest common factor number is the GCF number.
So the greatest common factor 3301,9803 is 1.
Lets's calculate LCM of 759,6143
Given numbers has no common factors except 1. So, there LCM is their product i.e 4662537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4662537
Therefore, the GCF of Fractions 3301/759,9803/6143 is 1/4662537
Least Common Multiple of 759,6143 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 759,6143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,6143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,6143) x common factors =1 x 1 = 1
LCM(759,6143) = ( 759 × 6143 ) / 1
LCM(759,6143) = 4662537 / 1
LCM(759,6143) = 4662537
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3301/759, 9803/6143
1. What is the HCF of 3301,9803?
The HCF of 3301,9803 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 3301/759, 9803/6143?
Answer: GCF of Numerators as per given numbers 3301/759, 9803/6143 is
GCF of Numerators i.e. for 3301,9803 is 1
LCM of denominators i.e. for 759,6143 is 4662537.
Thus, GCF of Fractions is 1/4662537.Finally, GCF of Fractions for 3301/759, 9803/6143 is 1/4662537.