GCF of 445/58, 731/356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 445/58, 731/356 i.e 1/10324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/58, 731/356.
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 445/58,731/356?
Given fractions are 445/58,731/356
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 445/58,731/356, numerators are 445,731
Denominators are 58,356
The GCF of 445,731 is 1 .
LCM of 58,356 is 10324.
The greatest common factor of 445/58,731/356 = [GCF of 445,731]/[LCM of 58,356]= 1/10324
Therefore, the GCF of 445/58,731/356 is 1/10324.
To find the highest common factor of 445,731, 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 731 are 1, 17, 43, 731
The HCF of 445,731 is 1.
Lets's calculate GCF of 445,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 445,731 By Matching Biggest Common Factor Method
Now, list down the factors of 445
:1,5,89,445
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 445,731 . The biggest common factor number is the GCF number.
So the greatest common factor 445,731 is 1.
Lets's calculate LCM of 58,356
| 2 | 58, 356 |
| 29, 178 |
∴ So the LCM of the given numbers is 2 x 29 x 178 = 10324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10324
Therefore, the GCF of Fractions 445/58,731/356 is 1/10324
Least Common Multiple of 58,356 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 58,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,356) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,356) x common factors =2 x 1 = 2
LCM(58,356) = ( 58 × 356 ) / 2
LCM(58,356) = 20648 / 2
LCM(58,356) = 10324
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FAQs on GCF of Fractions of 445/58, 731/356
1. What is the HCF of 445,731?
The HCF of 445,731 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 445/58, 731/356?
Answer: GCF of Numerators as per given numbers 445/58, 731/356 is
GCF of Numerators i.e. for 445,731 is 1
LCM of denominators i.e. for 58,356 is 10324.
Thus, GCF of Fractions is 1/10324.Finally, GCF of Fractions for 445/58, 731/356 is 1/10324.