GCF of 40/630, 65/715, 162/483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 40/630, 65/715, 162/483 i.e 1/2072070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/630, 65/715, 162/483.
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 40/630,65/715,162/483?
Given fractions are 40/630,65/715,162/483
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 40/630,65/715,162/483, numerators are 40,65,162
Denominators are 630,715,483
The GCF of 40,65,162 is 1 .
LCM of 630,715,483 is 2072070.
The greatest common factor of 40/630,65/715,162/483 = [GCF of 40,65,162]/[LCM of 630,715,483]= 1/2072070
Therefore, the GCF of 40/630,65/715,162/483 is 1/2072070.
To find the highest common factor of 40,65,162, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 65 are 1, 5, 13, 65
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The HCF of 40,65,162 is 1.
Lets's calculate GCF of 40,65,162
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 40,65,162 By Matching Biggest Common Factor Method
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 40,65,162 . The biggest common factor number is the GCF number.
So the greatest common factor 40,65,162 is 1.
Lets's calculate LCM of 630,715,483
| 3 | 630, 715, 483 |
| 5 | 210, 715, 161 |
| 7 | 42, 143, 161 |
| 6, 143, 23 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 6 x 143 x 23 = 2072070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2072070
Therefore, the GCF of Fractions 40/630,65/715,162/483 is 1/2072070
Least Common Multiple of 630,715,483 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 630,715,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,715,483) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(630,715,483) x common factors =1 x 105 = 105
LCM(630,715,483) = ( 630 × 715 × 483 ) / 105
LCM(630,715,483) = 217567350 / 105
LCM(630,715,483) = 2072070
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FAQs on GCF of Fractions of 40/630, 65/715, 162/483
1. What is the HCF of 40,65,162?
The HCF of 40,65,162 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 40/630, 65/715, 162/483?
Answer: GCF of Numerators as per given numbers 40/630, 65/715, 162/483 is
GCF of Numerators i.e. for 40,65,162 is 1
LCM of denominators i.e. for 630,715,483 is 2072070.
Thus, GCF of Fractions is 1/2072070.Finally, GCF of Fractions for 40/630, 65/715, 162/483 is 1/2072070.