GCF of 8470/199, 6678/1691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8470/199, 6678/1691 i.e 14/336509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8470/199, 6678/1691.
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 8470/199,6678/1691?
Given fractions are 8470/199,6678/1691
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 8470/199,6678/1691, numerators are 8470,6678
Denominators are 199,1691
The GCF of 8470,6678 is 14 .
LCM of 199,1691 is 336509.
The greatest common factor of 8470/199,6678/1691 = [GCF of 8470,6678]/[LCM of 199,1691]= 14/336509
Therefore, the GCF of 8470/199,6678/1691 is 14/336509.
To find the highest common factor of 8470,6678, we have to find the factors of both numbers and list the highest common factor.
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The factors of 6678 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678
The HCF of 8470,6678 is 14.
Lets's calculate GCF of 8470,6678
| 2 | 8470, 6678 |
| 7 | 4235, 3339 |
| 605, 477 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 8470,6678 By Matching Biggest Common Factor Method
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Now, list down the factors of 6678
:1,2,3,6,7,9,14,18,21,42,53,63,106,126,159,318,371,477,742,954,1113,2226,3339,6678
Greatest Common Factor
We found the factors 8470,6678 . The biggest common factor number is the GCF number.
So the greatest common factor 8470,6678 is 14.
Lets's calculate LCM of 199,1691
Given numbers has no common factors except 1. So, there LCM is their product i.e 336509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/336509
Therefore, the GCF of Fractions 8470/199,6678/1691 is 14/336509
Least Common Multiple of 199,1691 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 199,1691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,1691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,1691) x common factors =1 x 1 = 1
LCM(199,1691) = ( 199 × 1691 ) / 1
LCM(199,1691) = 336509 / 1
LCM(199,1691) = 336509
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8470/199, 6678/1691
1. What is the HCF of 8470,6678?
The HCF of 8470,6678 is 14
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 8470/199, 6678/1691?
Answer: GCF of Numerators as per given numbers 8470/199, 6678/1691 is
GCF of Numerators i.e. for 8470,6678 is 14
LCM of denominators i.e. for 199,1691 is 336509.
Thus, GCF of Fractions is 14/336509.Finally, GCF of Fractions for 8470/199, 6678/1691 is 14/336509.