GCF of 3787/450, 8166/5451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3787/450, 8166/5451 i.e 1/817650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3787/450, 8166/5451.
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 3787/450,8166/5451?
Given fractions are 3787/450,8166/5451
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 3787/450,8166/5451, numerators are 3787,8166
Denominators are 450,5451
The GCF of 3787,8166 is 1 .
LCM of 450,5451 is 817650.
The greatest common factor of 3787/450,8166/5451 = [GCF of 3787,8166]/[LCM of 450,5451]= 1/817650
Therefore, the GCF of 3787/450,8166/5451 is 1/817650.
To find the highest common factor of 3787,8166, we have to find the factors of both numbers and list the highest common factor.
The factors of 3787 are 1, 7, 541, 3787
The factors of 8166 are 1, 2, 3, 6, 1361, 2722, 4083, 8166
The HCF of 3787,8166 is 1.
Lets's calculate GCF of 3787,8166
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3787,8166 By Matching Biggest Common Factor Method
Now, list down the factors of 3787
:1,7,541,3787
Now, list down the factors of 8166
:1,2,3,6,1361,2722,4083,8166
Greatest Common Factor
We found the factors 3787,8166 . The biggest common factor number is the GCF number.
So the greatest common factor 3787,8166 is 1.
Lets's calculate LCM of 450,5451
| 3 | 450, 5451 |
| 150, 1817 |
∴ So the LCM of the given numbers is 3 x 150 x 1817 = 817650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/817650
Therefore, the GCF of Fractions 3787/450,8166/5451 is 1/817650
Least Common Multiple of 450,5451 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 450,5451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,5451) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(450,5451) x common factors =3 x 1 = 3
LCM(450,5451) = ( 450 × 5451 ) / 3
LCM(450,5451) = 2452950 / 3
LCM(450,5451) = 817650
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FAQs on GCF of Fractions of 3787/450, 8166/5451
1. What is the HCF of 3787,8166?
The HCF of 3787,8166 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 3787/450, 8166/5451?
Answer: GCF of Numerators as per given numbers 3787/450, 8166/5451 is
GCF of Numerators i.e. for 3787,8166 is 1
LCM of denominators i.e. for 450,5451 is 817650.
Thus, GCF of Fractions is 1/817650.Finally, GCF of Fractions for 3787/450, 8166/5451 is 1/817650.