GCF of 1575/733, 4724/753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1575/733, 4724/753 i.e 1/551949 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1575/733, 4724/753.
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 1575/733,4724/753?
Given fractions are 1575/733,4724/753
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 1575/733,4724/753, numerators are 1575,4724
Denominators are 733,753
The GCF of 1575,4724 is 1 .
LCM of 733,753 is 551949.
The greatest common factor of 1575/733,4724/753 = [GCF of 1575,4724]/[LCM of 733,753]= 1/551949
Therefore, the GCF of 1575/733,4724/753 is 1/551949.
To find the highest common factor of 1575,4724, we have to find the factors of both numbers and list the highest common factor.
The factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575
The factors of 4724 are 1, 2, 4, 1181, 2362, 4724
The HCF of 1575,4724 is 1.
Lets's calculate GCF of 1575,4724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1575,4724 By Matching Biggest Common Factor Method
Now, list down the factors of 1575
:1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575
Now, list down the factors of 4724
:1,2,4,1181,2362,4724
Greatest Common Factor
We found the factors 1575,4724 . The biggest common factor number is the GCF number.
So the greatest common factor 1575,4724 is 1.
Lets's calculate LCM of 733,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 551949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/551949
Therefore, the GCF of Fractions 1575/733,4724/753 is 1/551949
Least Common Multiple of 733,753 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 733,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,753) x common factors =1 x 1 = 1
LCM(733,753) = ( 733 × 753 ) / 1
LCM(733,753) = 551949 / 1
LCM(733,753) = 551949
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FAQs on GCF of Fractions of 1575/733, 4724/753
1. What is the HCF of 1575,4724?
The HCF of 1575,4724 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 1575/733, 4724/753?
Answer: GCF of Numerators as per given numbers 1575/733, 4724/753 is
GCF of Numerators i.e. for 1575,4724 is 1
LCM of denominators i.e. for 733,753 is 551949.
Thus, GCF of Fractions is 1/551949.Finally, GCF of Fractions for 1575/733, 4724/753 is 1/551949.