GCF of 8436/301, 1922/7209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8436/301, 1922/7209 i.e 2/2169909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8436/301, 1922/7209.
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 8436/301,1922/7209?
Given fractions are 8436/301,1922/7209
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 8436/301,1922/7209, numerators are 8436,1922
Denominators are 301,7209
The GCF of 8436,1922 is 2 .
LCM of 301,7209 is 2169909.
The greatest common factor of 8436/301,1922/7209 = [GCF of 8436,1922]/[LCM of 301,7209]= 2/2169909
Therefore, the GCF of 8436/301,1922/7209 is 2/2169909.
To find the highest common factor of 8436,1922, we have to find the factors of both numbers and list the highest common factor.
The factors of 8436 are 1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436
The factors of 1922 are 1, 2, 31, 62, 961, 1922
The HCF of 8436,1922 is 2.
Lets's calculate GCF of 8436,1922
| 2 | 8436, 1922 |
| 4218, 961 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8436,1922 By Matching Biggest Common Factor Method
Now, list down the factors of 8436
:1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436
Now, list down the factors of 1922
:1,2,31,62,961,1922
Greatest Common Factor
We found the factors 8436,1922 . The biggest common factor number is the GCF number.
So the greatest common factor 8436,1922 is 2.
Lets's calculate LCM of 301,7209
Given numbers has no common factors except 1. So, there LCM is their product i.e 2169909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2169909
Therefore, the GCF of Fractions 8436/301,1922/7209 is 2/2169909
Least Common Multiple of 301,7209 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 301,7209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,7209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,7209) x common factors =1 x 1 = 1
LCM(301,7209) = ( 301 × 7209 ) / 1
LCM(301,7209) = 2169909 / 1
LCM(301,7209) = 2169909
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8436/301, 1922/7209
1. What is the HCF of 8436,1922?
The HCF of 8436,1922 is 2
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 8436/301, 1922/7209?
Answer: GCF of Numerators as per given numbers 8436/301, 1922/7209 is
GCF of Numerators i.e. for 8436,1922 is 2
LCM of denominators i.e. for 301,7209 is 2169909.
Thus, GCF of Fractions is 2/2169909.Finally, GCF of Fractions for 8436/301, 1922/7209 is 2/2169909.