GCF of 7201/617, 3619/6327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7201/617, 3619/6327 i.e 1/3903759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7201/617, 3619/6327.
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 7201/617,3619/6327?
Given fractions are 7201/617,3619/6327
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 7201/617,3619/6327, numerators are 7201,3619
Denominators are 617,6327
The GCF of 7201,3619 is 1 .
LCM of 617,6327 is 3903759.
The greatest common factor of 7201/617,3619/6327 = [GCF of 7201,3619]/[LCM of 617,6327]= 1/3903759
Therefore, the GCF of 7201/617,3619/6327 is 1/3903759.
To find the highest common factor of 7201,3619, we have to find the factors of both numbers and list the highest common factor.
The factors of 7201 are 1, 19, 379, 7201
The factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619
The HCF of 7201,3619 is 1.
Lets's calculate GCF of 7201,3619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7201,3619 By Matching Biggest Common Factor Method
Now, list down the factors of 7201
:1,19,379,7201
Now, list down the factors of 3619
:1,7,11,47,77,329,517,3619
Greatest Common Factor
We found the factors 7201,3619 . The biggest common factor number is the GCF number.
So the greatest common factor 7201,3619 is 1.
Lets's calculate LCM of 617,6327
Given numbers has no common factors except 1. So, there LCM is their product i.e 3903759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3903759
Therefore, the GCF of Fractions 7201/617,3619/6327 is 1/3903759
Least Common Multiple of 617,6327 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 617,6327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,6327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,6327) x common factors =1 x 1 = 1
LCM(617,6327) = ( 617 × 6327 ) / 1
LCM(617,6327) = 3903759 / 1
LCM(617,6327) = 3903759
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FAQs on GCF of Fractions of 7201/617, 3619/6327
1. What is the HCF of 7201,3619?
The HCF of 7201,3619 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 7201/617, 3619/6327?
Answer: GCF of Numerators as per given numbers 7201/617, 3619/6327 is
GCF of Numerators i.e. for 7201,3619 is 1
LCM of denominators i.e. for 617,6327 is 3903759.
Thus, GCF of Fractions is 1/3903759.Finally, GCF of Fractions for 7201/617, 3619/6327 is 1/3903759.