GCF of 7405/646, 7298/107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7405/646, 7298/107 i.e 1/69122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7405/646, 7298/107.
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 7405/646,7298/107?
Given fractions are 7405/646,7298/107
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 7405/646,7298/107, numerators are 7405,7298
Denominators are 646,107
The GCF of 7405,7298 is 1 .
LCM of 646,107 is 69122.
The greatest common factor of 7405/646,7298/107 = [GCF of 7405,7298]/[LCM of 646,107]= 1/69122
Therefore, the GCF of 7405/646,7298/107 is 1/69122.
To find the highest common factor of 7405,7298, we have to find the factors of both numbers and list the highest common factor.
The factors of 7405 are 1, 5, 1481, 7405
The factors of 7298 are 1, 2, 41, 82, 89, 178, 3649, 7298
The HCF of 7405,7298 is 1.
Lets's calculate GCF of 7405,7298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7405,7298 By Matching Biggest Common Factor Method
Now, list down the factors of 7405
:1,5,1481,7405
Now, list down the factors of 7298
:1,2,41,82,89,178,3649,7298
Greatest Common Factor
We found the factors 7405,7298 . The biggest common factor number is the GCF number.
So the greatest common factor 7405,7298 is 1.
Lets's calculate LCM of 646,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 69122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69122
Therefore, the GCF of Fractions 7405/646,7298/107 is 1/69122
Least Common Multiple of 646,107 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 646,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,107) x common factors =1 x 1 = 1
LCM(646,107) = ( 646 × 107 ) / 1
LCM(646,107) = 69122 / 1
LCM(646,107) = 69122
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FAQs on GCF of Fractions of 7405/646, 7298/107
1. What is the HCF of 7405,7298?
The HCF of 7405,7298 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 7405/646, 7298/107?
Answer: GCF of Numerators as per given numbers 7405/646, 7298/107 is
GCF of Numerators i.e. for 7405,7298 is 1
LCM of denominators i.e. for 646,107 is 69122.
Thus, GCF of Fractions is 1/69122.Finally, GCF of Fractions for 7405/646, 7298/107 is 1/69122.