GCF of 445/188, 376/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 445/188, 376/114 i.e 1/10716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/188, 376/114.
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 445/188,376/114?
Given fractions are 445/188,376/114
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 445/188,376/114, numerators are 445,376
Denominators are 188,114
The GCF of 445,376 is 1 .
LCM of 188,114 is 10716.
The greatest common factor of 445/188,376/114 = [GCF of 445,376]/[LCM of 188,114]= 1/10716
Therefore, the GCF of 445/188,376/114 is 1/10716.
To find the highest common factor of 445,376, we have to find the factors of both numbers and list the highest common factor.
The factors of 445 are 1, 5, 89, 445
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376
The HCF of 445,376 is 1.
Lets's calculate GCF of 445,376
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 445,376 By Matching Biggest Common Factor Method
Now, list down the factors of 445
:1,5,89,445
Now, list down the factors of 376
:1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 445,376 . The biggest common factor number is the GCF number.
So the greatest common factor 445,376 is 1.
Lets's calculate LCM of 188,114
| 2 | 188, 114 |
| 94, 57 |
∴ So the LCM of the given numbers is 2 x 94 x 57 = 10716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10716
Therefore, the GCF of Fractions 445/188,376/114 is 1/10716
Least Common Multiple of 188,114 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 188,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(188,114) x common factors =2 x 1 = 2
LCM(188,114) = ( 188 × 114 ) / 2
LCM(188,114) = 21432 / 2
LCM(188,114) = 10716
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FAQs on GCF of Fractions of 445/188, 376/114
1. What is the HCF of 445,376?
The HCF of 445,376 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 445/188, 376/114?
Answer: GCF of Numerators as per given numbers 445/188, 376/114 is
GCF of Numerators i.e. for 445,376 is 1
LCM of denominators i.e. for 188,114 is 10716.
Thus, GCF of Fractions is 1/10716.Finally, GCF of Fractions for 445/188, 376/114 is 1/10716.