GCF of 1513/332, 6926/9541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1513/332, 6926/9541 i.e 1/3167612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1513/332, 6926/9541.
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 1513/332,6926/9541?
Given fractions are 1513/332,6926/9541
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 1513/332,6926/9541, numerators are 1513,6926
Denominators are 332,9541
The GCF of 1513,6926 is 1 .
LCM of 332,9541 is 3167612.
The greatest common factor of 1513/332,6926/9541 = [GCF of 1513,6926]/[LCM of 332,9541]= 1/3167612
Therefore, the GCF of 1513/332,6926/9541 is 1/3167612.
To find the highest common factor of 1513,6926, we have to find the factors of both numbers and list the highest common factor.
The factors of 1513 are 1, 17, 89, 1513
The factors of 6926 are 1, 2, 3463, 6926
The HCF of 1513,6926 is 1.
Lets's calculate GCF of 1513,6926
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1513,6926 By Matching Biggest Common Factor Method
Now, list down the factors of 1513
:1,17,89,1513
Now, list down the factors of 6926
:1,2,3463,6926
Greatest Common Factor
We found the factors 1513,6926 . The biggest common factor number is the GCF number.
So the greatest common factor 1513,6926 is 1.
Lets's calculate LCM of 332,9541
Given numbers has no common factors except 1. So, there LCM is their product i.e 3167612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3167612
Therefore, the GCF of Fractions 1513/332,6926/9541 is 1/3167612
Least Common Multiple of 332,9541 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 332,9541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,9541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,9541) x common factors =1 x 1 = 1
LCM(332,9541) = ( 332 × 9541 ) / 1
LCM(332,9541) = 3167612 / 1
LCM(332,9541) = 3167612
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1513/332, 6926/9541
1. What is the HCF of 1513,6926?
The HCF of 1513,6926 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 1513/332, 6926/9541?
Answer: GCF of Numerators as per given numbers 1513/332, 6926/9541 is
GCF of Numerators i.e. for 1513,6926 is 1
LCM of denominators i.e. for 332,9541 is 3167612.
Thus, GCF of Fractions is 1/3167612.Finally, GCF of Fractions for 1513/332, 6926/9541 is 1/3167612.