GCF of 40/942, 29/913, 864/157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 40/942, 29/913, 864/157 i.e 1/860046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/942, 29/913, 864/157.
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 40/942,29/913,864/157?
Given fractions are 40/942,29/913,864/157
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 40/942,29/913,864/157, numerators are 40,29,864
Denominators are 942,913,157
The GCF of 40,29,864 is 1 .
LCM of 942,913,157 is 860046.
The greatest common factor of 40/942,29/913,864/157 = [GCF of 40,29,864]/[LCM of 942,913,157]= 1/860046
Therefore, the GCF of 40/942,29/913,864/157 is 1/860046.
To find the highest common factor of 40,29,864, 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 29 are 1, 29
The factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
The HCF of 40,29,864 is 1.
Lets's calculate GCF of 40,29,864
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 40,29,864 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 29
:1,29
Now, list down the factors of 864
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Greatest Common Factor
We found the factors 40,29,864 . The biggest common factor number is the GCF number.
So the greatest common factor 40,29,864 is 1.
Lets's calculate LCM of 942,913,157
| 157 | 942, 913, 157 |
| 6, 913, 1 |
∴ So the LCM of the given numbers is 157 x 6 x 913 x 1 = 860046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/860046
Therefore, the GCF of Fractions 40/942,29/913,864/157 is 1/860046
Least Common Multiple of 942,913,157 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 942,913,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,913,157) = 1
common factors(in case of two or more numbers have common factors) = 157
GCF(942,913,157) x common factors =1 x 157 = 157
LCM(942,913,157) = ( 942 × 913 × 157 ) / 157
LCM(942,913,157) = 135027222 / 157
LCM(942,913,157) = 860046
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FAQs on GCF of Fractions of 40/942, 29/913, 864/157
1. What is the HCF of 40,29,864?
The HCF of 40,29,864 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 40/942, 29/913, 864/157?
Answer: GCF of Numerators as per given numbers 40/942, 29/913, 864/157 is
GCF of Numerators i.e. for 40,29,864 is 1
LCM of denominators i.e. for 942,913,157 is 860046.
Thus, GCF of Fractions is 1/860046.Finally, GCF of Fractions for 40/942, 29/913, 864/157 is 1/860046.