GCF of 523/684, 745/145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 523/684, 745/145 i.e 1/99180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 523/684, 745/145.
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 523/684,745/145?
Given fractions are 523/684,745/145
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 523/684,745/145, numerators are 523,745
Denominators are 684,145
The GCF of 523,745 is 1 .
LCM of 684,145 is 99180.
The greatest common factor of 523/684,745/145 = [GCF of 523,745]/[LCM of 684,145]= 1/99180
Therefore, the GCF of 523/684,745/145 is 1/99180.
To find the highest common factor of 523,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 523 are 1, 523
The factors of 745 are 1, 5, 149, 745
The HCF of 523,745 is 1.
Lets's calculate GCF of 523,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 523,745 By Matching Biggest Common Factor Method
Now, list down the factors of 523
:1,523
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 523,745 . The biggest common factor number is the GCF number.
So the greatest common factor 523,745 is 1.
Lets's calculate LCM of 684,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 99180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99180
Therefore, the GCF of Fractions 523/684,745/145 is 1/99180
Least Common Multiple of 684,145 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 684,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,145) x common factors =1 x 1 = 1
LCM(684,145) = ( 684 × 145 ) / 1
LCM(684,145) = 99180 / 1
LCM(684,145) = 99180
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FAQs on GCF of Fractions of 523/684, 745/145
1. What is the HCF of 523,745?
The HCF of 523,745 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 523/684, 745/145?
Answer: GCF of Numerators as per given numbers 523/684, 745/145 is
GCF of Numerators i.e. for 523,745 is 1
LCM of denominators i.e. for 684,145 is 99180.
Thus, GCF of Fractions is 1/99180.Finally, GCF of Fractions for 523/684, 745/145 is 1/99180.