GCF of 721/593, 914/570, 502/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 721/593, 914/570, 502/523 i.e 1/176779230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 721/593, 914/570, 502/523.
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 721/593,914/570,502/523?
Given fractions are 721/593,914/570,502/523
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 721/593,914/570,502/523, numerators are 721,914,502
Denominators are 593,570,523
The GCF of 721,914,502 is 1 .
LCM of 593,570,523 is 176779230.
The greatest common factor of 721/593,914/570,502/523 = [GCF of 721,914,502]/[LCM of 593,570,523]= 1/176779230
Therefore, the GCF of 721/593,914/570,502/523 is 1/176779230.
To find the highest common factor of 721,914,502, we have to find the factors of both numbers and list the highest common factor.
The factors of 721 are 1, 7, 103, 721
The factors of 914 are 1, 2, 457, 914
The factors of 502 are 1, 2, 251, 502
The HCF of 721,914,502 is 1.
Lets's calculate GCF of 721,914,502
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 721,914,502 By Matching Biggest Common Factor Method
Now, list down the factors of 721
:1,7,103,721
Now, list down the factors of 914
:1,2,457,914
Now, list down the factors of 502
:1,2,251,502
Greatest Common Factor
We found the factors 721,914,502 . The biggest common factor number is the GCF number.
So the greatest common factor 721,914,502 is 1.
Lets's calculate LCM of 593,570,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 176779230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176779230
Therefore, the GCF of Fractions 721/593,914/570,502/523 is 1/176779230
Least Common Multiple of 593,570,523 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 593,570,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,570,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,570,523) x common factors =1 x 1 = 1
LCM(593,570,523) = ( 593 × 570 × 523 ) / 1
LCM(593,570,523) = 176779230 / 1
LCM(593,570,523) = 176779230
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FAQs on GCF of Fractions of 721/593, 914/570, 502/523
1. What is the HCF of 721,914,502?
The HCF of 721,914,502 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 721/593, 914/570, 502/523?
Answer: GCF of Numerators as per given numbers 721/593, 914/570, 502/523 is
GCF of Numerators i.e. for 721,914,502 is 1
LCM of denominators i.e. for 593,570,523 is 176779230.
Thus, GCF of Fractions is 1/176779230.Finally, GCF of Fractions for 721/593, 914/570, 502/523 is 1/176779230.