GCF of 8107/738, 4360/7035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8107/738, 4360/7035 i.e 1/1730610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8107/738, 4360/7035.
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 8107/738,4360/7035?
Given fractions are 8107/738,4360/7035
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 8107/738,4360/7035, numerators are 8107,4360
Denominators are 738,7035
The GCF of 8107,4360 is 1 .
LCM of 738,7035 is 1730610.
The greatest common factor of 8107/738,4360/7035 = [GCF of 8107,4360]/[LCM of 738,7035]= 1/1730610
Therefore, the GCF of 8107/738,4360/7035 is 1/1730610.
To find the highest common factor of 8107,4360, we have to find the factors of both numbers and list the highest common factor.
The factors of 8107 are 1, 11, 67, 121, 737, 8107
The factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360
The HCF of 8107,4360 is 1.
Lets's calculate GCF of 8107,4360
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8107,4360 By Matching Biggest Common Factor Method
Now, list down the factors of 8107
:1,11,67,121,737,8107
Now, list down the factors of 4360
:1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360
Greatest Common Factor
We found the factors 8107,4360 . The biggest common factor number is the GCF number.
So the greatest common factor 8107,4360 is 1.
Lets's calculate LCM of 738,7035
| 3 | 738, 7035 |
| 246, 2345 |
∴ So the LCM of the given numbers is 3 x 246 x 2345 = 1730610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1730610
Therefore, the GCF of Fractions 8107/738,4360/7035 is 1/1730610
Least Common Multiple of 738,7035 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 738,7035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,7035) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(738,7035) x common factors =3 x 1 = 3
LCM(738,7035) = ( 738 × 7035 ) / 3
LCM(738,7035) = 5191830 / 3
LCM(738,7035) = 1730610
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FAQs on GCF of Fractions of 8107/738, 4360/7035
1. What is the HCF of 8107,4360?
The HCF of 8107,4360 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 8107/738, 4360/7035?
Answer: GCF of Numerators as per given numbers 8107/738, 4360/7035 is
GCF of Numerators i.e. for 8107,4360 is 1
LCM of denominators i.e. for 738,7035 is 1730610.
Thus, GCF of Fractions is 1/1730610.Finally, GCF of Fractions for 8107/738, 4360/7035 is 1/1730610.