GCF of 9108/904, 4223/2153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9108/904, 4223/2153 i.e 1/1946312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9108/904, 4223/2153.
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 9108/904,4223/2153?
Given fractions are 9108/904,4223/2153
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 9108/904,4223/2153, numerators are 9108,4223
Denominators are 904,2153
The GCF of 9108,4223 is 1 .
LCM of 904,2153 is 1946312.
The greatest common factor of 9108/904,4223/2153 = [GCF of 9108,4223]/[LCM of 904,2153]= 1/1946312
Therefore, the GCF of 9108/904,4223/2153 is 1/1946312.
To find the highest common factor of 9108,4223, we have to find the factors of both numbers and list the highest common factor.
The factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108
The factors of 4223 are 1, 41, 103, 4223
The HCF of 9108,4223 is 1.
Lets's calculate GCF of 9108,4223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9108,4223 By Matching Biggest Common Factor Method
Now, list down the factors of 9108
:1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108
Now, list down the factors of 4223
:1,41,103,4223
Greatest Common Factor
We found the factors 9108,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 9108,4223 is 1.
Lets's calculate LCM of 904,2153
Given numbers has no common factors except 1. So, there LCM is their product i.e 1946312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1946312
Therefore, the GCF of Fractions 9108/904,4223/2153 is 1/1946312
Least Common Multiple of 904,2153 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 904,2153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,2153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,2153) x common factors =1 x 1 = 1
LCM(904,2153) = ( 904 × 2153 ) / 1
LCM(904,2153) = 1946312 / 1
LCM(904,2153) = 1946312
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FAQs on GCF of Fractions of 9108/904, 4223/2153
1. What is the HCF of 9108,4223?
The HCF of 9108,4223 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 9108/904, 4223/2153?
Answer: GCF of Numerators as per given numbers 9108/904, 4223/2153 is
GCF of Numerators i.e. for 9108,4223 is 1
LCM of denominators i.e. for 904,2153 is 1946312.
Thus, GCF of Fractions is 1/1946312.Finally, GCF of Fractions for 9108/904, 4223/2153 is 1/1946312.