GCF of 923/409, 532/975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 923/409, 532/975 i.e 1/398775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/409, 532/975.
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 923/409,532/975?
Given fractions are 923/409,532/975
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 923/409,532/975, numerators are 923,532
Denominators are 409,975
The GCF of 923,532 is 1 .
LCM of 409,975 is 398775.
The greatest common factor of 923/409,532/975 = [GCF of 923,532]/[LCM of 409,975]= 1/398775
Therefore, the GCF of 923/409,532/975 is 1/398775.
To find the highest common factor of 923,532, we have to find the factors of both numbers and list the highest common factor.
The factors of 923 are 1, 13, 71, 923
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The HCF of 923,532 is 1.
Lets's calculate GCF of 923,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 923,532 By Matching Biggest Common Factor Method
Now, list down the factors of 923
:1,13,71,923
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 923,532 . The biggest common factor number is the GCF number.
So the greatest common factor 923,532 is 1.
Lets's calculate LCM of 409,975
Given numbers has no common factors except 1. So, there LCM is their product i.e 398775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398775
Therefore, the GCF of Fractions 923/409,532/975 is 1/398775
Least Common Multiple of 409,975 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 409,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,975) x common factors =1 x 1 = 1
LCM(409,975) = ( 409 × 975 ) / 1
LCM(409,975) = 398775 / 1
LCM(409,975) = 398775
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FAQs on GCF of Fractions of 923/409, 532/975
1. What is the HCF of 923,532?
The HCF of 923,532 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 923/409, 532/975?
Answer: GCF of Numerators as per given numbers 923/409, 532/975 is
GCF of Numerators i.e. for 923,532 is 1
LCM of denominators i.e. for 409,975 is 398775.
Thus, GCF of Fractions is 1/398775.Finally, GCF of Fractions for 923/409, 532/975 is 1/398775.