GCF of 6968/201, 3237/8170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6968/201, 3237/8170 i.e 13/1642170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6968/201, 3237/8170.
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 6968/201,3237/8170?
Given fractions are 6968/201,3237/8170
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 6968/201,3237/8170, numerators are 6968,3237
Denominators are 201,8170
The GCF of 6968,3237 is 13 .
LCM of 201,8170 is 1642170.
The greatest common factor of 6968/201,3237/8170 = [GCF of 6968,3237]/[LCM of 201,8170]= 13/1642170
Therefore, the GCF of 6968/201,3237/8170 is 13/1642170.
To find the highest common factor of 6968,3237, we have to find the factors of both numbers and list the highest common factor.
The factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968
The factors of 3237 are 1, 3, 13, 39, 83, 249, 1079, 3237
The HCF of 6968,3237 is 13.
Lets's calculate GCF of 6968,3237
| 13 | 6968, 3237 |
| 536, 249 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6968,3237 By Matching Biggest Common Factor Method
Now, list down the factors of 6968
:1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Now, list down the factors of 3237
:1,3,13,39,83,249,1079,3237
Greatest Common Factor
We found the factors 6968,3237 . The biggest common factor number is the GCF number.
So the greatest common factor 6968,3237 is 13.
Lets's calculate LCM of 201,8170
Given numbers has no common factors except 1. So, there LCM is their product i.e 1642170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1642170
Therefore, the GCF of Fractions 6968/201,3237/8170 is 13/1642170
Least Common Multiple of 201,8170 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 201,8170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,8170) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,8170) x common factors =1 x 1 = 1
LCM(201,8170) = ( 201 × 8170 ) / 1
LCM(201,8170) = 1642170 / 1
LCM(201,8170) = 1642170
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FAQs on GCF of Fractions of 6968/201, 3237/8170
1. What is the HCF of 6968,3237?
The HCF of 6968,3237 is 13
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 6968/201, 3237/8170?
Answer: GCF of Numerators as per given numbers 6968/201, 3237/8170 is
GCF of Numerators i.e. for 6968,3237 is 13
LCM of denominators i.e. for 201,8170 is 1642170.
Thus, GCF of Fractions is 13/1642170.Finally, GCF of Fractions for 6968/201, 3237/8170 is 13/1642170.