GCF of 436/169, 6867/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 436/169, 6867/990 i.e 109/167310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 436/169, 6867/990.
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 436/169,6867/990?
Given fractions are 436/169,6867/990
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 436/169,6867/990, numerators are 436,6867
Denominators are 169,990
The GCF of 436,6867 is 109 .
LCM of 169,990 is 167310.
The greatest common factor of 436/169,6867/990 = [GCF of 436,6867]/[LCM of 169,990]= 109/167310
Therefore, the GCF of 436/169,6867/990 is 109/167310.
To find the highest common factor of 436,6867, we have to find the factors of both numbers and list the highest common factor.
The factors of 436 are 1, 2, 4, 109, 218, 436
The factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867
The HCF of 436,6867 is 109.
Lets's calculate GCF of 436,6867
| 109 | 436, 6867 |
| 4, 63 |
∴ So the GCF of the given numbers is 109 = 109
Greatest Common Factor of 436,6867 By Matching Biggest Common Factor Method
Now, list down the factors of 436
:1,2,4,109,218,436
Now, list down the factors of 6867
:1,3,7,9,21,63,109,327,763,981,2289,6867
Greatest Common Factor
We found the factors 436,6867 . The biggest common factor number is the GCF number.
So the greatest common factor 436,6867 is 109.
Lets's calculate LCM of 169,990
Given numbers has no common factors except 1. So, there LCM is their product i.e 167310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 109/167310
Therefore, the GCF of Fractions 436/169,6867/990 is 109/167310
Least Common Multiple of 169,990 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 169,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,990) x common factors =1 x 1 = 1
LCM(169,990) = ( 169 × 990 ) / 1
LCM(169,990) = 167310 / 1
LCM(169,990) = 167310
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 436/169, 6867/990
1. What is the HCF of 436,6867?
The HCF of 436,6867 is 109
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 436/169, 6867/990?
Answer: GCF of Numerators as per given numbers 436/169, 6867/990 is
GCF of Numerators i.e. for 436,6867 is 109
LCM of denominators i.e. for 169,990 is 167310.
Thus, GCF of Fractions is 109/167310.Finally, GCF of Fractions for 436/169, 6867/990 is 109/167310.