GCF of 4234/192, 2923/8182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4234/192, 2923/8182 i.e 1/785472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4234/192, 2923/8182.
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 4234/192,2923/8182?
Given fractions are 4234/192,2923/8182
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 4234/192,2923/8182, numerators are 4234,2923
Denominators are 192,8182
The GCF of 4234,2923 is 1 .
LCM of 192,8182 is 785472.
The greatest common factor of 4234/192,2923/8182 = [GCF of 4234,2923]/[LCM of 192,8182]= 1/785472
Therefore, the GCF of 4234/192,2923/8182 is 1/785472.
To find the highest common factor of 4234,2923, we have to find the factors of both numbers and list the highest common factor.
The factors of 4234 are 1, 2, 29, 58, 73, 146, 2117, 4234
The factors of 2923 are 1, 37, 79, 2923
The HCF of 4234,2923 is 1.
Lets's calculate GCF of 4234,2923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4234,2923 By Matching Biggest Common Factor Method
Now, list down the factors of 4234
:1,2,29,58,73,146,2117,4234
Now, list down the factors of 2923
:1,37,79,2923
Greatest Common Factor
We found the factors 4234,2923 . The biggest common factor number is the GCF number.
So the greatest common factor 4234,2923 is 1.
Lets's calculate LCM of 192,8182
| 2 | 192, 8182 |
| 96, 4091 |
∴ So the LCM of the given numbers is 2 x 96 x 4091 = 785472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/785472
Therefore, the GCF of Fractions 4234/192,2923/8182 is 1/785472
Least Common Multiple of 192,8182 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 192,8182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,8182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(192,8182) x common factors =2 x 1 = 2
LCM(192,8182) = ( 192 × 8182 ) / 2
LCM(192,8182) = 1570944 / 2
LCM(192,8182) = 785472
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FAQs on GCF of Fractions of 4234/192, 2923/8182
1. What is the HCF of 4234,2923?
The HCF of 4234,2923 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 4234/192, 2923/8182?
Answer: GCF of Numerators as per given numbers 4234/192, 2923/8182 is
GCF of Numerators i.e. for 4234,2923 is 1
LCM of denominators i.e. for 192,8182 is 785472.
Thus, GCF of Fractions is 1/785472.Finally, GCF of Fractions for 4234/192, 2923/8182 is 1/785472.