GCF of 727/556, 746/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 727/556, 746/817 i.e 1/454252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/556, 746/817.
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 727/556,746/817?
Given fractions are 727/556,746/817
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 727/556,746/817, numerators are 727,746
Denominators are 556,817
The GCF of 727,746 is 1 .
LCM of 556,817 is 454252.
The greatest common factor of 727/556,746/817 = [GCF of 727,746]/[LCM of 556,817]= 1/454252
Therefore, the GCF of 727/556,746/817 is 1/454252.
To find the highest common factor of 727,746, we have to find the factors of both numbers and list the highest common factor.
The factors of 727 are 1, 727
The factors of 746 are 1, 2, 373, 746
The HCF of 727,746 is 1.
Lets's calculate GCF of 727,746
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 727,746 By Matching Biggest Common Factor Method
Now, list down the factors of 727
:1,727
Now, list down the factors of 746
:1,2,373,746
Greatest Common Factor
We found the factors 727,746 . The biggest common factor number is the GCF number.
So the greatest common factor 727,746 is 1.
Lets's calculate LCM of 556,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 454252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454252
Therefore, the GCF of Fractions 727/556,746/817 is 1/454252
Least Common Multiple of 556,817 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 556,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,817) x common factors =1 x 1 = 1
LCM(556,817) = ( 556 × 817 ) / 1
LCM(556,817) = 454252 / 1
LCM(556,817) = 454252
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FAQs on GCF of Fractions of 727/556, 746/817
1. What is the HCF of 727,746?
The HCF of 727,746 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 727/556, 746/817?
Answer: GCF of Numerators as per given numbers 727/556, 746/817 is
GCF of Numerators i.e. for 727,746 is 1
LCM of denominators i.e. for 556,817 is 454252.
Thus, GCF of Fractions is 1/454252.Finally, GCF of Fractions for 727/556, 746/817 is 1/454252.