GCF of 783/683, 663/652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 783/683, 663/652 i.e 3/445316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 783/683, 663/652.
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 783/683,663/652?
Given fractions are 783/683,663/652
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 783/683,663/652, numerators are 783,663
Denominators are 683,652
The GCF of 783,663 is 3 .
LCM of 683,652 is 445316.
The greatest common factor of 783/683,663/652 = [GCF of 783,663]/[LCM of 683,652]= 3/445316
Therefore, the GCF of 783/683,663/652 is 3/445316.
To find the highest common factor of 783,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 783,663 is 3.
Lets's calculate GCF of 783,663
| 3 | 783, 663 |
| 261, 221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 783,663 By Matching Biggest Common Factor Method
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 783,663 . The biggest common factor number is the GCF number.
So the greatest common factor 783,663 is 3.
Lets's calculate LCM of 683,652
Given numbers has no common factors except 1. So, there LCM is their product i.e 445316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/445316
Therefore, the GCF of Fractions 783/683,663/652 is 3/445316
Least Common Multiple of 683,652 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 683,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,652) x common factors =1 x 1 = 1
LCM(683,652) = ( 683 × 652 ) / 1
LCM(683,652) = 445316 / 1
LCM(683,652) = 445316
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FAQs on GCF of Fractions of 783/683, 663/652
1. What is the HCF of 783,663?
The HCF of 783,663 is 3
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 783/683, 663/652?
Answer: GCF of Numerators as per given numbers 783/683, 663/652 is
GCF of Numerators i.e. for 783,663 is 3
LCM of denominators i.e. for 683,652 is 445316.
Thus, GCF of Fractions is 3/445316.Finally, GCF of Fractions for 783/683, 663/652 is 3/445316.