GCF of 69/640, 523/999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 69/640, 523/999 i.e 1/639360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/640, 523/999.
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 69/640,523/999?
Given fractions are 69/640,523/999
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 69/640,523/999, numerators are 69,523
Denominators are 640,999
The GCF of 69,523 is 1 .
LCM of 640,999 is 639360.
The greatest common factor of 69/640,523/999 = [GCF of 69,523]/[LCM of 640,999]= 1/639360
Therefore, the GCF of 69/640,523/999 is 1/639360.
To find the highest common factor of 69,523, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 523 are 1, 523
The HCF of 69,523 is 1.
Lets's calculate GCF of 69,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 69,523 By Matching Biggest Common Factor Method
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 523
:1,523
Greatest Common Factor
We found the factors 69,523 . The biggest common factor number is the GCF number.
So the greatest common factor 69,523 is 1.
Lets's calculate LCM of 640,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 639360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/639360
Therefore, the GCF of Fractions 69/640,523/999 is 1/639360
Least Common Multiple of 640,999 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 640,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,999) x common factors =1 x 1 = 1
LCM(640,999) = ( 640 × 999 ) / 1
LCM(640,999) = 639360 / 1
LCM(640,999) = 639360
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 69/640, 523/999
1. What is the HCF of 69,523?
The HCF of 69,523 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 69/640, 523/999?
Answer: GCF of Numerators as per given numbers 69/640, 523/999 is
GCF of Numerators i.e. for 69,523 is 1
LCM of denominators i.e. for 640,999 is 639360.
Thus, GCF of Fractions is 1/639360.Finally, GCF of Fractions for 69/640, 523/999 is 1/639360.