GCF of 628/269, 605/768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 628/269, 605/768 i.e 1/206592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/269, 605/768.
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 628/269,605/768?
Given fractions are 628/269,605/768
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 628/269,605/768, numerators are 628,605
Denominators are 269,768
The GCF of 628,605 is 1 .
LCM of 269,768 is 206592.
The greatest common factor of 628/269,605/768 = [GCF of 628,605]/[LCM of 269,768]= 1/206592
Therefore, the GCF of 628/269,605/768 is 1/206592.
To find the highest common factor of 628,605, we have to find the factors of both numbers and list the highest common factor.
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 605 are 1, 5, 11, 55, 121, 605
The HCF of 628,605 is 1.
Lets's calculate GCF of 628,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 628,605 By Matching Biggest Common Factor Method
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 605
:1,5,11,55,121,605
Greatest Common Factor
We found the factors 628,605 . The biggest common factor number is the GCF number.
So the greatest common factor 628,605 is 1.
Lets's calculate LCM of 269,768
Given numbers has no common factors except 1. So, there LCM is their product i.e 206592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206592
Therefore, the GCF of Fractions 628/269,605/768 is 1/206592
Least Common Multiple of 269,768 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 269,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,768) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,768) x common factors =1 x 1 = 1
LCM(269,768) = ( 269 × 768 ) / 1
LCM(269,768) = 206592 / 1
LCM(269,768) = 206592
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FAQs on GCF of Fractions of 628/269, 605/768
1. What is the HCF of 628,605?
The HCF of 628,605 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 628/269, 605/768?
Answer: GCF of Numerators as per given numbers 628/269, 605/768 is
GCF of Numerators i.e. for 628,605 is 1
LCM of denominators i.e. for 269,768 is 206592.
Thus, GCF of Fractions is 1/206592.Finally, GCF of Fractions for 628/269, 605/768 is 1/206592.