GCF of 7402/107, 5391/2809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7402/107, 5391/2809 i.e 1/300563 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7402/107, 5391/2809.
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 7402/107,5391/2809?
Given fractions are 7402/107,5391/2809
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 7402/107,5391/2809, numerators are 7402,5391
Denominators are 107,2809
The GCF of 7402,5391 is 1 .
LCM of 107,2809 is 300563.
The greatest common factor of 7402/107,5391/2809 = [GCF of 7402,5391]/[LCM of 107,2809]= 1/300563
Therefore, the GCF of 7402/107,5391/2809 is 1/300563.
To find the highest common factor of 7402,5391, we have to find the factors of both numbers and list the highest common factor.
The factors of 7402 are 1, 2, 3701, 7402
The factors of 5391 are 1, 3, 9, 599, 1797, 5391
The HCF of 7402,5391 is 1.
Lets's calculate GCF of 7402,5391
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7402,5391 By Matching Biggest Common Factor Method
Now, list down the factors of 7402
:1,2,3701,7402
Now, list down the factors of 5391
:1,3,9,599,1797,5391
Greatest Common Factor
We found the factors 7402,5391 . The biggest common factor number is the GCF number.
So the greatest common factor 7402,5391 is 1.
Lets's calculate LCM of 107,2809
Given numbers has no common factors except 1. So, there LCM is their product i.e 300563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300563
Therefore, the GCF of Fractions 7402/107,5391/2809 is 1/300563
Least Common Multiple of 107,2809 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 107,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,2809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,2809) x common factors =1 x 1 = 1
LCM(107,2809) = ( 107 × 2809 ) / 1
LCM(107,2809) = 300563 / 1
LCM(107,2809) = 300563
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7402/107, 5391/2809
1. What is the HCF of 7402,5391?
The HCF of 7402,5391 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 7402/107, 5391/2809?
Answer: GCF of Numerators as per given numbers 7402/107, 5391/2809 is
GCF of Numerators i.e. for 7402,5391 is 1
LCM of denominators i.e. for 107,2809 is 300563.
Thus, GCF of Fractions is 1/300563.Finally, GCF of Fractions for 7402/107, 5391/2809 is 1/300563.