GCF of 40/687, 423/954, 222/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 40/687, 423/954, 222/170 i.e 1/18569610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/687, 423/954, 222/170.
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 40/687,423/954,222/170?
Given fractions are 40/687,423/954,222/170
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 40/687,423/954,222/170, numerators are 40,423,222
Denominators are 687,954,170
The GCF of 40,423,222 is 1 .
LCM of 687,954,170 is 18569610.
The greatest common factor of 40/687,423/954,222/170 = [GCF of 40,423,222]/[LCM of 687,954,170]= 1/18569610
Therefore, the GCF of 40/687,423/954,222/170 is 1/18569610.
To find the highest common factor of 40,423,222, 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 423 are 1, 3, 9, 47, 141, 423
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The HCF of 40,423,222 is 1.
Lets's calculate GCF of 40,423,222
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 40,423,222 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 423
:1,3,9,47,141,423
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 40,423,222 . The biggest common factor number is the GCF number.
So the greatest common factor 40,423,222 is 1.
Lets's calculate LCM of 687,954,170
| 2 | 687, 954, 170 |
| 3 | 687, 477, 85 |
| 229, 159, 85 |
∴ So the LCM of the given numbers is 2 x 3 x 229 x 159 x 85 = 18569610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18569610
Therefore, the GCF of Fractions 40/687,423/954,222/170 is 1/18569610
Least Common Multiple of 687,954,170 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 687,954,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,954,170) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(687,954,170) x common factors =1 x 6 = 6
LCM(687,954,170) = ( 687 × 954 × 170 ) / 6
LCM(687,954,170) = 111417660 / 6
LCM(687,954,170) = 18569610
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FAQs on GCF of Fractions of 40/687, 423/954, 222/170
1. What is the HCF of 40,423,222?
The HCF of 40,423,222 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 40/687, 423/954, 222/170?
Answer: GCF of Numerators as per given numbers 40/687, 423/954, 222/170 is
GCF of Numerators i.e. for 40,423,222 is 1
LCM of denominators i.e. for 687,954,170 is 18569610.
Thus, GCF of Fractions is 1/18569610.Finally, GCF of Fractions for 40/687, 423/954, 222/170 is 1/18569610.