GCF of 6718/170, 1567/6273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6718/170, 1567/6273 i.e 1/62730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6718/170, 1567/6273.
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 6718/170,1567/6273?
Given fractions are 6718/170,1567/6273
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 6718/170,1567/6273, numerators are 6718,1567
Denominators are 170,6273
The GCF of 6718,1567 is 1 .
LCM of 170,6273 is 62730.
The greatest common factor of 6718/170,1567/6273 = [GCF of 6718,1567]/[LCM of 170,6273]= 1/62730
Therefore, the GCF of 6718/170,1567/6273 is 1/62730.
To find the highest common factor of 6718,1567, we have to find the factors of both numbers and list the highest common factor.
The factors of 6718 are 1, 2, 3359, 6718
The factors of 1567 are 1, 1567
The HCF of 6718,1567 is 1.
Lets's calculate GCF of 6718,1567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6718,1567 By Matching Biggest Common Factor Method
Now, list down the factors of 6718
:1,2,3359,6718
Now, list down the factors of 1567
:1,1567
Greatest Common Factor
We found the factors 6718,1567 . The biggest common factor number is the GCF number.
So the greatest common factor 6718,1567 is 1.
Lets's calculate LCM of 170,6273
| 17 | 170, 6273 |
| 10, 369 |
∴ So the LCM of the given numbers is 17 x 10 x 369 = 62730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62730
Therefore, the GCF of Fractions 6718/170,1567/6273 is 1/62730
Least Common Multiple of 170,6273 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 170,6273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,6273) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(170,6273) x common factors =17 x 1 = 17
LCM(170,6273) = ( 170 × 6273 ) / 17
LCM(170,6273) = 1066410 / 17
LCM(170,6273) = 62730
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6718/170, 1567/6273
1. What is the HCF of 6718,1567?
The HCF of 6718,1567 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 6718/170, 1567/6273?
Answer: GCF of Numerators as per given numbers 6718/170, 1567/6273 is
GCF of Numerators i.e. for 6718,1567 is 1
LCM of denominators i.e. for 170,6273 is 62730.
Thus, GCF of Fractions is 1/62730.Finally, GCF of Fractions for 6718/170, 1567/6273 is 1/62730.