GCF of 7481/645, 3613/1877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7481/645, 3613/1877 i.e 1/1210665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7481/645, 3613/1877.
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 7481/645,3613/1877?
Given fractions are 7481/645,3613/1877
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 7481/645,3613/1877, numerators are 7481,3613
Denominators are 645,1877
The GCF of 7481,3613 is 1 .
LCM of 645,1877 is 1210665.
The greatest common factor of 7481/645,3613/1877 = [GCF of 7481,3613]/[LCM of 645,1877]= 1/1210665
Therefore, the GCF of 7481/645,3613/1877 is 1/1210665.
To find the highest common factor of 7481,3613, we have to find the factors of both numbers and list the highest common factor.
The factors of 7481 are 1, 7481
The factors of 3613 are 1, 3613
The HCF of 7481,3613 is 1.
Lets's calculate GCF of 7481,3613
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7481,3613 By Matching Biggest Common Factor Method
Now, list down the factors of 7481
:1,7481
Now, list down the factors of 3613
:1,3613
Greatest Common Factor
We found the factors 7481,3613 . The biggest common factor number is the GCF number.
So the greatest common factor 7481,3613 is 1.
Lets's calculate LCM of 645,1877
Given numbers has no common factors except 1. So, there LCM is their product i.e 1210665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1210665
Therefore, the GCF of Fractions 7481/645,3613/1877 is 1/1210665
Least Common Multiple of 645,1877 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 645,1877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,1877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,1877) x common factors =1 x 1 = 1
LCM(645,1877) = ( 645 × 1877 ) / 1
LCM(645,1877) = 1210665 / 1
LCM(645,1877) = 1210665
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FAQs on GCF of Fractions of 7481/645, 3613/1877
1. What is the HCF of 7481,3613?
The HCF of 7481,3613 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 7481/645, 3613/1877?
Answer: GCF of Numerators as per given numbers 7481/645, 3613/1877 is
GCF of Numerators i.e. for 7481,3613 is 1
LCM of denominators i.e. for 645,1877 is 1210665.
Thus, GCF of Fractions is 1/1210665.Finally, GCF of Fractions for 7481/645, 3613/1877 is 1/1210665.