GCF of 40/95, 138/68, 830/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 40/95, 138/68, 830/605 i.e 2/781660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/95, 138/68, 830/605.
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 40/95,138/68,830/605?
Given fractions are 40/95,138/68,830/605
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 40/95,138/68,830/605, numerators are 40,138,830
Denominators are 95,68,605
The GCF of 40,138,830 is 2 .
LCM of 95,68,605 is 781660.
The greatest common factor of 40/95,138/68,830/605 = [GCF of 40,138,830]/[LCM of 95,68,605]= 2/781660
Therefore, the GCF of 40/95,138/68,830/605 is 2/781660.
To find the highest common factor of 40,138,830, 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 138 are 1, 2, 3, 6, 23, 46, 69, 138
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 40,138,830 is 2.
Lets's calculate GCF of 40,138,830
| 2 | 40, 138, 830 |
| 20, 69, 415 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 40,138,830 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 138
:1,2,3,6,23,46,69,138
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 40,138,830 . The biggest common factor number is the GCF number.
So the greatest common factor 40,138,830 is 2.
Lets's calculate LCM of 95,68,605
| 5 | 95, 68, 605 |
| 19, 68, 121 |
∴ So the LCM of the given numbers is 5 x 19 x 68 x 121 = 781660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/781660
Therefore, the GCF of Fractions 40/95,138/68,830/605 is 2/781660
Least Common Multiple of 95,68,605 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 95,68,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,68,605) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(95,68,605) x common factors =1 x 5 = 5
LCM(95,68,605) = ( 95 × 68 × 605 ) / 5
LCM(95,68,605) = 3908300 / 5
LCM(95,68,605) = 781660
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FAQs on GCF of Fractions of 40/95, 138/68, 830/605
1. What is the HCF of 40,138,830?
The HCF of 40,138,830 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 40/95, 138/68, 830/605?
Answer: GCF of Numerators as per given numbers 40/95, 138/68, 830/605 is
GCF of Numerators i.e. for 40,138,830 is 2
LCM of denominators i.e. for 95,68,605 is 781660.
Thus, GCF of Fractions is 2/781660.Finally, GCF of Fractions for 40/95, 138/68, 830/605 is 2/781660.