GCF of 9783/628, 5715/838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9783/628, 5715/838 i.e 9/263132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9783/628, 5715/838.
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 9783/628,5715/838?
Given fractions are 9783/628,5715/838
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 9783/628,5715/838, numerators are 9783,5715
Denominators are 628,838
The GCF of 9783,5715 is 9 .
LCM of 628,838 is 263132.
The greatest common factor of 9783/628,5715/838 = [GCF of 9783,5715]/[LCM of 628,838]= 9/263132
Therefore, the GCF of 9783/628,5715/838 is 9/263132.
To find the highest common factor of 9783,5715, we have to find the factors of both numbers and list the highest common factor.
The factors of 9783 are 1, 3, 9, 1087, 3261, 9783
The factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715
The HCF of 9783,5715 is 9.
Lets's calculate GCF of 9783,5715
| 3 | 9783, 5715 |
| 3 | 3261, 1905 |
| 1087, 635 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9783,5715 By Matching Biggest Common Factor Method
Now, list down the factors of 9783
:1,3,9,1087,3261,9783
Now, list down the factors of 5715
:1,3,5,9,15,45,127,381,635,1143,1905,5715
Greatest Common Factor
We found the factors 9783,5715 . The biggest common factor number is the GCF number.
So the greatest common factor 9783,5715 is 9.
Lets's calculate LCM of 628,838
| 2 | 628, 838 |
| 314, 419 |
∴ So the LCM of the given numbers is 2 x 314 x 419 = 263132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/263132
Therefore, the GCF of Fractions 9783/628,5715/838 is 9/263132
Least Common Multiple of 628,838 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 628,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(628,838) x common factors =2 x 1 = 2
LCM(628,838) = ( 628 × 838 ) / 2
LCM(628,838) = 526264 / 2
LCM(628,838) = 263132
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FAQs on GCF of Fractions of 9783/628, 5715/838
1. What is the HCF of 9783,5715?
The HCF of 9783,5715 is 9
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 9783/628, 5715/838?
Answer: GCF of Numerators as per given numbers 9783/628, 5715/838 is
GCF of Numerators i.e. for 9783,5715 is 9
LCM of denominators i.e. for 628,838 is 263132.
Thus, GCF of Fractions is 9/263132.Finally, GCF of Fractions for 9783/628, 5715/838 is 9/263132.