GCF of 40/873, 915/158, 306/167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 40/873, 915/158, 306/167 i.e 1/23034978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/873, 915/158, 306/167.
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 40/873,915/158,306/167?
Given fractions are 40/873,915/158,306/167
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 40/873,915/158,306/167, numerators are 40,915,306
Denominators are 873,158,167
The GCF of 40,915,306 is 1 .
LCM of 873,158,167 is 23034978.
The greatest common factor of 40/873,915/158,306/167 = [GCF of 40,915,306]/[LCM of 873,158,167]= 1/23034978
Therefore, the GCF of 40/873,915/158,306/167 is 1/23034978.
To find the highest common factor of 40,915,306, 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 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
The HCF of 40,915,306 is 1.
Lets's calculate GCF of 40,915,306
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 40,915,306 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 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 306
:1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 40,915,306 . The biggest common factor number is the GCF number.
So the greatest common factor 40,915,306 is 1.
Lets's calculate LCM of 873,158,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 23034978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23034978
Therefore, the GCF of Fractions 40/873,915/158,306/167 is 1/23034978
Least Common Multiple of 873,158,167 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 873,158,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,158,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,158,167) x common factors =1 x 1 = 1
LCM(873,158,167) = ( 873 × 158 × 167 ) / 1
LCM(873,158,167) = 23034978 / 1
LCM(873,158,167) = 23034978
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FAQs on GCF of Fractions of 40/873, 915/158, 306/167
1. What is the HCF of 40,915,306?
The HCF of 40,915,306 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 40/873, 915/158, 306/167?
Answer: GCF of Numerators as per given numbers 40/873, 915/158, 306/167 is
GCF of Numerators i.e. for 40,915,306 is 1
LCM of denominators i.e. for 873,158,167 is 23034978.
Thus, GCF of Fractions is 1/23034978.Finally, GCF of Fractions for 40/873, 915/158, 306/167 is 1/23034978.