GCF of 9923/368, 7357/4204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9923/368, 7357/4204 i.e 1/386768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9923/368, 7357/4204.
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 9923/368,7357/4204?
Given fractions are 9923/368,7357/4204
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 9923/368,7357/4204, numerators are 9923,7357
Denominators are 368,4204
The GCF of 9923,7357 is 1 .
LCM of 368,4204 is 386768.
The greatest common factor of 9923/368,7357/4204 = [GCF of 9923,7357]/[LCM of 368,4204]= 1/386768
Therefore, the GCF of 9923/368,7357/4204 is 1/386768.
To find the highest common factor of 9923,7357, we have to find the factors of both numbers and list the highest common factor.
The factors of 9923 are 1, 9923
The factors of 7357 are 1, 7, 1051, 7357
The HCF of 9923,7357 is 1.
Lets's calculate GCF of 9923,7357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9923,7357 By Matching Biggest Common Factor Method
Now, list down the factors of 9923
:1,9923
Now, list down the factors of 7357
:1,7,1051,7357
Greatest Common Factor
We found the factors 9923,7357 . The biggest common factor number is the GCF number.
So the greatest common factor 9923,7357 is 1.
Lets's calculate LCM of 368,4204
| 2 | 368, 4204 |
| 2 | 184, 2102 |
| 92, 1051 |
∴ So the LCM of the given numbers is 2 x 2 x 92 x 1051 = 386768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386768
Therefore, the GCF of Fractions 9923/368,7357/4204 is 1/386768
Least Common Multiple of 368,4204 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 368,4204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,4204) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(368,4204) x common factors =4 x 1 = 4
LCM(368,4204) = ( 368 × 4204 ) / 4
LCM(368,4204) = 1547072 / 4
LCM(368,4204) = 386768
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FAQs on GCF of Fractions of 9923/368, 7357/4204
1. What is the HCF of 9923,7357?
The HCF of 9923,7357 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 9923/368, 7357/4204?
Answer: GCF of Numerators as per given numbers 9923/368, 7357/4204 is
GCF of Numerators i.e. for 9923,7357 is 1
LCM of denominators i.e. for 368,4204 is 386768.
Thus, GCF of Fractions is 1/386768.Finally, GCF of Fractions for 9923/368, 7357/4204 is 1/386768.