GCF of 727/476, 460/779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 727/476, 460/779 i.e 1/370804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/476, 460/779.
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 727/476,460/779?
Given fractions are 727/476,460/779
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 727/476,460/779, numerators are 727,460
Denominators are 476,779
The GCF of 727,460 is 1 .
LCM of 476,779 is 370804.
The greatest common factor of 727/476,460/779 = [GCF of 727,460]/[LCM of 476,779]= 1/370804
Therefore, the GCF of 727/476,460/779 is 1/370804.
To find the highest common factor of 727,460, 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 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The HCF of 727,460 is 1.
Lets's calculate GCF of 727,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 727,460 By Matching Biggest Common Factor Method
Now, list down the factors of 727
:1,727
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 727,460 . The biggest common factor number is the GCF number.
So the greatest common factor 727,460 is 1.
Lets's calculate LCM of 476,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 370804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370804
Therefore, the GCF of Fractions 727/476,460/779 is 1/370804
Least Common Multiple of 476,779 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 476,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(476,779) x common factors =1 x 1 = 1
LCM(476,779) = ( 476 × 779 ) / 1
LCM(476,779) = 370804 / 1
LCM(476,779) = 370804
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FAQs on GCF of Fractions of 727/476, 460/779
1. What is the HCF of 727,460?
The HCF of 727,460 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 727/476, 460/779?
Answer: GCF of Numerators as per given numbers 727/476, 460/779 is
GCF of Numerators i.e. for 727,460 is 1
LCM of denominators i.e. for 476,779 is 370804.
Thus, GCF of Fractions is 1/370804.Finally, GCF of Fractions for 727/476, 460/779 is 1/370804.