GCF of 40/84, 482/85, 715/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 40/84, 482/85, 715/207 i.e 1/492660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/84, 482/85, 715/207.
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 40/84,482/85,715/207?
Given fractions are 40/84,482/85,715/207
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 40/84,482/85,715/207, numerators are 40,482,715
Denominators are 84,85,207
The GCF of 40,482,715 is 1 .
LCM of 84,85,207 is 492660.
The greatest common factor of 40/84,482/85,715/207 = [GCF of 40,482,715]/[LCM of 84,85,207]= 1/492660
Therefore, the GCF of 40/84,482/85,715/207 is 1/492660.
To find the highest common factor of 40,482,715, 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 482 are 1, 2, 241, 482
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The HCF of 40,482,715 is 1.
Lets's calculate GCF of 40,482,715
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 40,482,715 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 482
:1,2,241,482
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 40,482,715 . The biggest common factor number is the GCF number.
So the greatest common factor 40,482,715 is 1.
Lets's calculate LCM of 84,85,207
| 3 | 84, 85, 207 |
| 28, 85, 69 |
∴ So the LCM of the given numbers is 3 x 28 x 85 x 69 = 492660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/492660
Therefore, the GCF of Fractions 40/84,482/85,715/207 is 1/492660
Least Common Multiple of 84,85,207 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 84,85,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,85,207) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(84,85,207) x common factors =1 x 3 = 3
LCM(84,85,207) = ( 84 × 85 × 207 ) / 3
LCM(84,85,207) = 1477980 / 3
LCM(84,85,207) = 492660
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 40/84, 482/85, 715/207
1. What is the HCF of 40,482,715?
The HCF of 40,482,715 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 40/84, 482/85, 715/207?
Answer: GCF of Numerators as per given numbers 40/84, 482/85, 715/207 is
GCF of Numerators i.e. for 40,482,715 is 1
LCM of denominators i.e. for 84,85,207 is 492660.
Thus, GCF of Fractions is 1/492660.Finally, GCF of Fractions for 40/84, 482/85, 715/207 is 1/492660.