GCF of 8302/259, 7386/6201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8302/259, 7386/6201 i.e 2/1606059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8302/259, 7386/6201.
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 8302/259,7386/6201?
Given fractions are 8302/259,7386/6201
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 8302/259,7386/6201, numerators are 8302,7386
Denominators are 259,6201
The GCF of 8302,7386 is 2 .
LCM of 259,6201 is 1606059.
The greatest common factor of 8302/259,7386/6201 = [GCF of 8302,7386]/[LCM of 259,6201]= 2/1606059
Therefore, the GCF of 8302/259,7386/6201 is 2/1606059.
To find the highest common factor of 8302,7386, we have to find the factors of both numbers and list the highest common factor.
The factors of 8302 are 1, 2, 7, 14, 593, 1186, 4151, 8302
The factors of 7386 are 1, 2, 3, 6, 1231, 2462, 3693, 7386
The HCF of 8302,7386 is 2.
Lets's calculate GCF of 8302,7386
| 2 | 8302, 7386 |
| 4151, 3693 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8302,7386 By Matching Biggest Common Factor Method
Now, list down the factors of 8302
:1,2,7,14,593,1186,4151,8302
Now, list down the factors of 7386
:1,2,3,6,1231,2462,3693,7386
Greatest Common Factor
We found the factors 8302,7386 . The biggest common factor number is the GCF number.
So the greatest common factor 8302,7386 is 2.
Lets's calculate LCM of 259,6201
Given numbers has no common factors except 1. So, there LCM is their product i.e 1606059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1606059
Therefore, the GCF of Fractions 8302/259,7386/6201 is 2/1606059
Least Common Multiple of 259,6201 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 259,6201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,6201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,6201) x common factors =1 x 1 = 1
LCM(259,6201) = ( 259 × 6201 ) / 1
LCM(259,6201) = 1606059 / 1
LCM(259,6201) = 1606059
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FAQs on GCF of Fractions of 8302/259, 7386/6201
1. What is the HCF of 8302,7386?
The HCF of 8302,7386 is 2
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 8302/259, 7386/6201?
Answer: GCF of Numerators as per given numbers 8302/259, 7386/6201 is
GCF of Numerators i.e. for 8302,7386 is 2
LCM of denominators i.e. for 259,6201 is 1606059.
Thus, GCF of Fractions is 2/1606059.Finally, GCF of Fractions for 8302/259, 7386/6201 is 2/1606059.