GCF of 351/170, 659/208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 351/170, 659/208 i.e 1/17680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 351/170, 659/208.
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 351/170,659/208?
Given fractions are 351/170,659/208
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 351/170,659/208, numerators are 351,659
Denominators are 170,208
The GCF of 351,659 is 1 .
LCM of 170,208 is 17680.
The greatest common factor of 351/170,659/208 = [GCF of 351,659]/[LCM of 170,208]= 1/17680
Therefore, the GCF of 351/170,659/208 is 1/17680.
To find the highest common factor of 351,659, we have to find the factors of both numbers and list the highest common factor.
The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351
The factors of 659 are 1, 659
The HCF of 351,659 is 1.
Lets's calculate GCF of 351,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 351,659 By Matching Biggest Common Factor Method
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Now, list down the factors of 659
:1,659
Greatest Common Factor
We found the factors 351,659 . The biggest common factor number is the GCF number.
So the greatest common factor 351,659 is 1.
Lets's calculate LCM of 170,208
| 2 | 170, 208 |
| 85, 104 |
∴ So the LCM of the given numbers is 2 x 85 x 104 = 17680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17680
Therefore, the GCF of Fractions 351/170,659/208 is 1/17680
Least Common Multiple of 170,208 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 170,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,208) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,208) x common factors =2 x 1 = 2
LCM(170,208) = ( 170 × 208 ) / 2
LCM(170,208) = 35360 / 2
LCM(170,208) = 17680
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 351/170, 659/208
1. What is the HCF of 351,659?
The HCF of 351,659 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 351/170, 659/208?
Answer: GCF of Numerators as per given numbers 351/170, 659/208 is
GCF of Numerators i.e. for 351,659 is 1
LCM of denominators i.e. for 170,208 is 17680.
Thus, GCF of Fractions is 1/17680.Finally, GCF of Fractions for 351/170, 659/208 is 1/17680.