GCF of 675/838, 9639/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 675/838, 9639/168 i.e 27/70392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 675/838, 9639/168.
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 675/838,9639/168?
Given fractions are 675/838,9639/168
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 675/838,9639/168, numerators are 675,9639
Denominators are 838,168
The GCF of 675,9639 is 27 .
LCM of 838,168 is 70392.
The greatest common factor of 675/838,9639/168 = [GCF of 675,9639]/[LCM of 838,168]= 27/70392
Therefore, the GCF of 675/838,9639/168 is 27/70392.
To find the highest common factor of 675,9639, we have to find the factors of both numbers and list the highest common factor.
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The factors of 9639 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639
The HCF of 675,9639 is 27.
Lets's calculate GCF of 675,9639
| 3 | 675, 9639 |
| 3 | 225, 3213 |
| 3 | 75, 1071 |
| 25, 357 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 675,9639 By Matching Biggest Common Factor Method
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Now, list down the factors of 9639
:1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639
Greatest Common Factor
We found the factors 675,9639 . The biggest common factor number is the GCF number.
So the greatest common factor 675,9639 is 27.
Lets's calculate LCM of 838,168
| 2 | 838, 168 |
| 419, 84 |
∴ So the LCM of the given numbers is 2 x 419 x 84 = 70392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/70392
Therefore, the GCF of Fractions 675/838,9639/168 is 27/70392
Least Common Multiple of 838,168 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 838,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,168) x common factors =2 x 1 = 2
LCM(838,168) = ( 838 × 168 ) / 2
LCM(838,168) = 140784 / 2
LCM(838,168) = 70392
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 675/838, 9639/168
1. What is the HCF of 675,9639?
The HCF of 675,9639 is 27
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 675/838, 9639/168?
Answer: GCF of Numerators as per given numbers 675/838, 9639/168 is
GCF of Numerators i.e. for 675,9639 is 27
LCM of denominators i.e. for 838,168 is 70392.
Thus, GCF of Fractions is 27/70392.Finally, GCF of Fractions for 675/838, 9639/168 is 27/70392.