GCF of 3201/310, 8757/3468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3201/310, 8757/3468 i.e 3/537540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3201/310, 8757/3468.
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 3201/310,8757/3468?
Given fractions are 3201/310,8757/3468
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 3201/310,8757/3468, numerators are 3201,8757
Denominators are 310,3468
The GCF of 3201,8757 is 3 .
LCM of 310,3468 is 537540.
The greatest common factor of 3201/310,8757/3468 = [GCF of 3201,8757]/[LCM of 310,3468]= 3/537540
Therefore, the GCF of 3201/310,8757/3468 is 3/537540.
To find the highest common factor of 3201,8757, we have to find the factors of both numbers and list the highest common factor.
The factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201
The factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757
The HCF of 3201,8757 is 3.
Lets's calculate GCF of 3201,8757
| 3 | 3201, 8757 |
| 1067, 2919 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3201,8757 By Matching Biggest Common Factor Method
Now, list down the factors of 3201
:1,3,11,33,97,291,1067,3201
Now, list down the factors of 8757
:1,3,7,9,21,63,139,417,973,1251,2919,8757
Greatest Common Factor
We found the factors 3201,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 3201,8757 is 3.
Lets's calculate LCM of 310,3468
| 2 | 310, 3468 |
| 155, 1734 |
∴ So the LCM of the given numbers is 2 x 155 x 1734 = 537540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/537540
Therefore, the GCF of Fractions 3201/310,8757/3468 is 3/537540
Least Common Multiple of 310,3468 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 310,3468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,3468) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,3468) x common factors =2 x 1 = 2
LCM(310,3468) = ( 310 × 3468 ) / 2
LCM(310,3468) = 1075080 / 2
LCM(310,3468) = 537540
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FAQs on GCF of Fractions of 3201/310, 8757/3468
1. What is the HCF of 3201,8757?
The HCF of 3201,8757 is 3
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 3201/310, 8757/3468?
Answer: GCF of Numerators as per given numbers 3201/310, 8757/3468 is
GCF of Numerators i.e. for 3201,8757 is 3
LCM of denominators i.e. for 310,3468 is 537540.
Thus, GCF of Fractions is 3/537540.Finally, GCF of Fractions for 3201/310, 8757/3468 is 3/537540.