GCF of 92/344, 75/381, 189/446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/344, 75/381, 189/446 i.e 1/29227272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/344, 75/381, 189/446.
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 92/344,75/381,189/446?
Given fractions are 92/344,75/381,189/446
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 92/344,75/381,189/446, numerators are 92,75,189
Denominators are 344,381,446
The GCF of 92,75,189 is 1 .
LCM of 344,381,446 is 29227272.
The greatest common factor of 92/344,75/381,189/446 = [GCF of 92,75,189]/[LCM of 344,381,446]= 1/29227272
Therefore, the GCF of 92/344,75/381,189/446 is 1/29227272.
To find the highest common factor of 92,75,189, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189
The HCF of 92,75,189 is 1.
Lets's calculate GCF of 92,75,189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,75,189 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 189
:1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 92,75,189 . The biggest common factor number is the GCF number.
So the greatest common factor 92,75,189 is 1.
Lets's calculate LCM of 344,381,446
| 2 | 344, 381, 446 |
| 172, 381, 223 |
∴ So the LCM of the given numbers is 2 x 172 x 381 x 223 = 29227272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29227272
Therefore, the GCF of Fractions 92/344,75/381,189/446 is 1/29227272
Least Common Multiple of 344,381,446 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 344,381,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,381,446) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(344,381,446) x common factors =1 x 2 = 2
LCM(344,381,446) = ( 344 × 381 × 446 ) / 2
LCM(344,381,446) = 58454544 / 2
LCM(344,381,446) = 29227272
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FAQs on GCF of Fractions of 92/344, 75/381, 189/446
1. What is the HCF of 92,75,189?
The HCF of 92,75,189 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 92/344, 75/381, 189/446?
Answer: GCF of Numerators as per given numbers 92/344, 75/381, 189/446 is
GCF of Numerators i.e. for 92,75,189 is 1
LCM of denominators i.e. for 344,381,446 is 29227272.
Thus, GCF of Fractions is 1/29227272.Finally, GCF of Fractions for 92/344, 75/381, 189/446 is 1/29227272.