GCF of 7379/321, 7265/6645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7379/321, 7265/6645 i.e 1/711015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7379/321, 7265/6645.
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 7379/321,7265/6645?
Given fractions are 7379/321,7265/6645
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 7379/321,7265/6645, numerators are 7379,7265
Denominators are 321,6645
The GCF of 7379,7265 is 1 .
LCM of 321,6645 is 711015.
The greatest common factor of 7379/321,7265/6645 = [GCF of 7379,7265]/[LCM of 321,6645]= 1/711015
Therefore, the GCF of 7379/321,7265/6645 is 1/711015.
To find the highest common factor of 7379,7265, we have to find the factors of both numbers and list the highest common factor.
The factors of 7379 are 1, 47, 157, 7379
The factors of 7265 are 1, 5, 1453, 7265
The HCF of 7379,7265 is 1.
Lets's calculate GCF of 7379,7265
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7379,7265 By Matching Biggest Common Factor Method
Now, list down the factors of 7379
:1,47,157,7379
Now, list down the factors of 7265
:1,5,1453,7265
Greatest Common Factor
We found the factors 7379,7265 . The biggest common factor number is the GCF number.
So the greatest common factor 7379,7265 is 1.
Lets's calculate LCM of 321,6645
| 3 | 321, 6645 |
| 107, 2215 |
∴ So the LCM of the given numbers is 3 x 107 x 2215 = 711015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/711015
Therefore, the GCF of Fractions 7379/321,7265/6645 is 1/711015
Least Common Multiple of 321,6645 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 321,6645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,6645) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,6645) x common factors =3 x 1 = 3
LCM(321,6645) = ( 321 × 6645 ) / 3
LCM(321,6645) = 2133045 / 3
LCM(321,6645) = 711015
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FAQs on GCF of Fractions of 7379/321, 7265/6645
1. What is the HCF of 7379,7265?
The HCF of 7379,7265 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 7379/321, 7265/6645?
Answer: GCF of Numerators as per given numbers 7379/321, 7265/6645 is
GCF of Numerators i.e. for 7379,7265 is 1
LCM of denominators i.e. for 321,6645 is 711015.
Thus, GCF of Fractions is 1/711015.Finally, GCF of Fractions for 7379/321, 7265/6645 is 1/711015.