GCF of 783/923, 638/367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 783/923, 638/367 i.e 29/338741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 783/923, 638/367.
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 783/923,638/367?
Given fractions are 783/923,638/367
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 783/923,638/367, numerators are 783,638
Denominators are 923,367
The GCF of 783,638 is 29 .
LCM of 923,367 is 338741.
The greatest common factor of 783/923,638/367 = [GCF of 783,638]/[LCM of 923,367]= 29/338741
Therefore, the GCF of 783/923,638/367 is 29/338741.
To find the highest common factor of 783,638, 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 638 are 1, 2, 11, 22, 29, 58, 319, 638
The HCF of 783,638 is 29.
Lets's calculate GCF of 783,638
| 29 | 783, 638 |
| 27, 22 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 783,638 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 638
:1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 783,638 . The biggest common factor number is the GCF number.
So the greatest common factor 783,638 is 29.
Lets's calculate LCM of 923,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 338741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/338741
Therefore, the GCF of Fractions 783/923,638/367 is 29/338741
Least Common Multiple of 923,367 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 923,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,367) x common factors =1 x 1 = 1
LCM(923,367) = ( 923 × 367 ) / 1
LCM(923,367) = 338741 / 1
LCM(923,367) = 338741
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FAQs on GCF of Fractions of 783/923, 638/367
1. What is the HCF of 783,638?
The HCF of 783,638 is 29
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 783/923, 638/367?
Answer: GCF of Numerators as per given numbers 783/923, 638/367 is
GCF of Numerators i.e. for 783,638 is 29
LCM of denominators i.e. for 923,367 is 338741.
Thus, GCF of Fractions is 29/338741.Finally, GCF of Fractions for 783/923, 638/367 is 29/338741.