GCF of 40/749, 16/912, 505/889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 40/749, 16/912, 505/889 i.e 1/86752176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/749, 16/912, 505/889.
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 40/749,16/912,505/889?
Given fractions are 40/749,16/912,505/889
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 40/749,16/912,505/889, numerators are 40,16,505
Denominators are 749,912,889
The GCF of 40,16,505 is 1 .
LCM of 749,912,889 is 86752176.
The greatest common factor of 40/749,16/912,505/889 = [GCF of 40,16,505]/[LCM of 749,912,889]= 1/86752176
Therefore, the GCF of 40/749,16/912,505/889 is 1/86752176.
To find the highest common factor of 40,16,505, 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 16 are 1, 2, 4, 8, 16
The factors of 505 are 1, 5, 101, 505
The HCF of 40,16,505 is 1.
Lets's calculate GCF of 40,16,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 40,16,505 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 16
:1,2,4,8,16
Now, list down the factors of 505
:1,5,101,505
Greatest Common Factor
We found the factors 40,16,505 . The biggest common factor number is the GCF number.
So the greatest common factor 40,16,505 is 1.
Lets's calculate LCM of 749,912,889
| 7 | 749, 912, 889 |
| 107, 912, 127 |
∴ So the LCM of the given numbers is 7 x 107 x 912 x 127 = 86752176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86752176
Therefore, the GCF of Fractions 40/749,16/912,505/889 is 1/86752176
Least Common Multiple of 749,912,889 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 749,912,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,912,889) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(749,912,889) x common factors =1 x 7 = 7
LCM(749,912,889) = ( 749 × 912 × 889 ) / 7
LCM(749,912,889) = 607265232 / 7
LCM(749,912,889) = 86752176
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FAQs on GCF of Fractions of 40/749, 16/912, 505/889
1. What is the HCF of 40,16,505?
The HCF of 40,16,505 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 40/749, 16/912, 505/889?
Answer: GCF of Numerators as per given numbers 40/749, 16/912, 505/889 is
GCF of Numerators i.e. for 40,16,505 is 1
LCM of denominators i.e. for 749,912,889 is 86752176.
Thus, GCF of Fractions is 1/86752176.Finally, GCF of Fractions for 40/749, 16/912, 505/889 is 1/86752176.