GCF of 144/739, 569/525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 144/739, 569/525 i.e 1/387975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 144/739, 569/525.
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 144/739,569/525?
Given fractions are 144/739,569/525
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 144/739,569/525, numerators are 144,569
Denominators are 739,525
The GCF of 144,569 is 1 .
LCM of 739,525 is 387975.
The greatest common factor of 144/739,569/525 = [GCF of 144,569]/[LCM of 739,525]= 1/387975
Therefore, the GCF of 144/739,569/525 is 1/387975.
To find the highest common factor of 144,569, we have to find the factors of both numbers and list the highest common factor.
The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The factors of 569 are 1, 569
The HCF of 144,569 is 1.
Lets's calculate GCF of 144,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 144,569 By Matching Biggest Common Factor Method
Now, list down the factors of 144
:1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Now, list down the factors of 569
:1,569
Greatest Common Factor
We found the factors 144,569 . The biggest common factor number is the GCF number.
So the greatest common factor 144,569 is 1.
Lets's calculate LCM of 739,525
Given numbers has no common factors except 1. So, there LCM is their product i.e 387975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387975
Therefore, the GCF of Fractions 144/739,569/525 is 1/387975
Least Common Multiple of 739,525 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 739,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,525) x common factors =1 x 1 = 1
LCM(739,525) = ( 739 × 525 ) / 1
LCM(739,525) = 387975 / 1
LCM(739,525) = 387975
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FAQs on GCF of Fractions of 144/739, 569/525
1. What is the HCF of 144,569?
The HCF of 144,569 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 144/739, 569/525?
Answer: GCF of Numerators as per given numbers 144/739, 569/525 is
GCF of Numerators i.e. for 144,569 is 1
LCM of denominators i.e. for 739,525 is 387975.
Thus, GCF of Fractions is 1/387975.Finally, GCF of Fractions for 144/739, 569/525 is 1/387975.