GCF of 9675/819, 1674/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9675/819, 1674/755 i.e 9/618345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9675/819, 1674/755.
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 9675/819,1674/755?
Given fractions are 9675/819,1674/755
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 9675/819,1674/755, numerators are 9675,1674
Denominators are 819,755
The GCF of 9675,1674 is 9 .
LCM of 819,755 is 618345.
The greatest common factor of 9675/819,1674/755 = [GCF of 9675,1674]/[LCM of 819,755]= 9/618345
Therefore, the GCF of 9675/819,1674/755 is 9/618345.
To find the highest common factor of 9675,1674, we have to find the factors of both numbers and list the highest common factor.
The factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675
The factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
The HCF of 9675,1674 is 9.
Lets's calculate GCF of 9675,1674
| 3 | 9675, 1674 |
| 3 | 3225, 558 |
| 1075, 186 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9675,1674 By Matching Biggest Common Factor Method
Now, list down the factors of 9675
:1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675
Now, list down the factors of 1674
:1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674
Greatest Common Factor
We found the factors 9675,1674 . The biggest common factor number is the GCF number.
So the greatest common factor 9675,1674 is 9.
Lets's calculate LCM of 819,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 618345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/618345
Therefore, the GCF of Fractions 9675/819,1674/755 is 9/618345
Least Common Multiple of 819,755 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 819,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,755) x common factors =1 x 1 = 1
LCM(819,755) = ( 819 × 755 ) / 1
LCM(819,755) = 618345 / 1
LCM(819,755) = 618345
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FAQs on GCF of Fractions of 9675/819, 1674/755
1. What is the HCF of 9675,1674?
The HCF of 9675,1674 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 9675/819, 1674/755?
Answer: GCF of Numerators as per given numbers 9675/819, 1674/755 is
GCF of Numerators i.e. for 9675,1674 is 9
LCM of denominators i.e. for 819,755 is 618345.
Thus, GCF of Fractions is 9/618345.Finally, GCF of Fractions for 9675/819, 1674/755 is 9/618345.