GCF of 9092/944, 8242/1921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9092/944, 8242/1921 i.e 2/1813424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9092/944, 8242/1921.
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 9092/944,8242/1921?
Given fractions are 9092/944,8242/1921
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 9092/944,8242/1921, numerators are 9092,8242
Denominators are 944,1921
The GCF of 9092,8242 is 2 .
LCM of 944,1921 is 1813424.
The greatest common factor of 9092/944,8242/1921 = [GCF of 9092,8242]/[LCM of 944,1921]= 2/1813424
Therefore, the GCF of 9092/944,8242/1921 is 2/1813424.
To find the highest common factor of 9092,8242, we have to find the factors of both numbers and list the highest common factor.
The factors of 9092 are 1, 2, 4, 2273, 4546, 9092
The factors of 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242
The HCF of 9092,8242 is 2.
Lets's calculate GCF of 9092,8242
| 2 | 9092, 8242 |
| 4546, 4121 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9092,8242 By Matching Biggest Common Factor Method
Now, list down the factors of 9092
:1,2,4,2273,4546,9092
Now, list down the factors of 8242
:1,2,13,26,317,634,4121,8242
Greatest Common Factor
We found the factors 9092,8242 . The biggest common factor number is the GCF number.
So the greatest common factor 9092,8242 is 2.
Lets's calculate LCM of 944,1921
Given numbers has no common factors except 1. So, there LCM is their product i.e 1813424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1813424
Therefore, the GCF of Fractions 9092/944,8242/1921 is 2/1813424
Least Common Multiple of 944,1921 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 944,1921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,1921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(944,1921) x common factors =1 x 1 = 1
LCM(944,1921) = ( 944 × 1921 ) / 1
LCM(944,1921) = 1813424 / 1
LCM(944,1921) = 1813424
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9092/944, 8242/1921
1. What is the HCF of 9092,8242?
The HCF of 9092,8242 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 9092/944, 8242/1921?
Answer: GCF of Numerators as per given numbers 9092/944, 8242/1921 is
GCF of Numerators i.e. for 9092,8242 is 2
LCM of denominators i.e. for 944,1921 is 1813424.
Thus, GCF of Fractions is 2/1813424.Finally, GCF of Fractions for 9092/944, 8242/1921 is 2/1813424.