GCF of 759/41, 728/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 759/41, 728/718 i.e 1/29438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 759/41, 728/718.
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 759/41,728/718?
Given fractions are 759/41,728/718
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 759/41,728/718, numerators are 759,728
Denominators are 41,718
The GCF of 759,728 is 1 .
LCM of 41,718 is 29438.
The greatest common factor of 759/41,728/718 = [GCF of 759,728]/[LCM of 41,718]= 1/29438
Therefore, the GCF of 759/41,728/718 is 1/29438.
To find the highest common factor of 759,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 759,728 is 1.
Lets's calculate GCF of 759,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 759,728 By Matching Biggest Common Factor Method
Now, list down the factors of 759
:1,3,11,23,33,69,253,759
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 759,728 . The biggest common factor number is the GCF number.
So the greatest common factor 759,728 is 1.
Lets's calculate LCM of 41,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 29438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29438
Therefore, the GCF of Fractions 759/41,728/718 is 1/29438
Least Common Multiple of 41,718 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 41,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,718) x common factors =1 x 1 = 1
LCM(41,718) = ( 41 × 718 ) / 1
LCM(41,718) = 29438 / 1
LCM(41,718) = 29438
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FAQs on GCF of Fractions of 759/41, 728/718
1. What is the HCF of 759,728?
The HCF of 759,728 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 759/41, 728/718?
Answer: GCF of Numerators as per given numbers 759/41, 728/718 is
GCF of Numerators i.e. for 759,728 is 1
LCM of denominators i.e. for 41,718 is 29438.
Thus, GCF of Fractions is 1/29438.Finally, GCF of Fractions for 759/41, 728/718 is 1/29438.