GCF of 9223/421, 3432/2173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9223/421, 3432/2173 i.e 1/914833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9223/421, 3432/2173.
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 9223/421,3432/2173?
Given fractions are 9223/421,3432/2173
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 9223/421,3432/2173, numerators are 9223,3432
Denominators are 421,2173
The GCF of 9223,3432 is 1 .
LCM of 421,2173 is 914833.
The greatest common factor of 9223/421,3432/2173 = [GCF of 9223,3432]/[LCM of 421,2173]= 1/914833
Therefore, the GCF of 9223/421,3432/2173 is 1/914833.
To find the highest common factor of 9223,3432, we have to find the factors of both numbers and list the highest common factor.
The factors of 9223 are 1, 23, 401, 9223
The factors of 3432 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432
The HCF of 9223,3432 is 1.
Lets's calculate GCF of 9223,3432
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9223,3432 By Matching Biggest Common Factor Method
Now, list down the factors of 9223
:1,23,401,9223
Now, list down the factors of 3432
:1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432
Greatest Common Factor
We found the factors 9223,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 9223,3432 is 1.
Lets's calculate LCM of 421,2173
Given numbers has no common factors except 1. So, there LCM is their product i.e 914833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/914833
Therefore, the GCF of Fractions 9223/421,3432/2173 is 1/914833
Least Common Multiple of 421,2173 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 421,2173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,2173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,2173) x common factors =1 x 1 = 1
LCM(421,2173) = ( 421 × 2173 ) / 1
LCM(421,2173) = 914833 / 1
LCM(421,2173) = 914833
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FAQs on GCF of Fractions of 9223/421, 3432/2173
1. What is the HCF of 9223,3432?
The HCF of 9223,3432 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 9223/421, 3432/2173?
Answer: GCF of Numerators as per given numbers 9223/421, 3432/2173 is
GCF of Numerators i.e. for 9223,3432 is 1
LCM of denominators i.e. for 421,2173 is 914833.
Thus, GCF of Fractions is 1/914833.Finally, GCF of Fractions for 9223/421, 3432/2173 is 1/914833.