GCF of 406/45, 736/9281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 406/45, 736/9281 i.e 2/417645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 406/45, 736/9281.
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 406/45,736/9281?
Given fractions are 406/45,736/9281
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 406/45,736/9281, numerators are 406,736
Denominators are 45,9281
The GCF of 406,736 is 2 .
LCM of 45,9281 is 417645.
The greatest common factor of 406/45,736/9281 = [GCF of 406,736]/[LCM of 45,9281]= 2/417645
Therefore, the GCF of 406/45,736/9281 is 2/417645.
To find the highest common factor of 406,736, we have to find the factors of both numbers and list the highest common factor.
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The HCF of 406,736 is 2.
Lets's calculate GCF of 406,736
| 2 | 406, 736 |
| 203, 368 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 406,736 By Matching Biggest Common Factor Method
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors 406,736 . The biggest common factor number is the GCF number.
So the greatest common factor 406,736 is 2.
Lets's calculate LCM of 45,9281
Given numbers has no common factors except 1. So, there LCM is their product i.e 417645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/417645
Therefore, the GCF of Fractions 406/45,736/9281 is 2/417645
Least Common Multiple of 45,9281 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 45,9281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,9281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,9281) x common factors =1 x 1 = 1
LCM(45,9281) = ( 45 × 9281 ) / 1
LCM(45,9281) = 417645 / 1
LCM(45,9281) = 417645
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FAQs on GCF of Fractions of 406/45, 736/9281
1. What is the HCF of 406,736?
The HCF of 406,736 is 2
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 406/45, 736/9281?
Answer: GCF of Numerators as per given numbers 406/45, 736/9281 is
GCF of Numerators i.e. for 406,736 is 2
LCM of denominators i.e. for 45,9281 is 417645.
Thus, GCF of Fractions is 2/417645.Finally, GCF of Fractions for 406/45, 736/9281 is 2/417645.