GCF of 9658/475, 1738/8825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9658/475, 1738/8825 i.e 22/167675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9658/475, 1738/8825.
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 9658/475,1738/8825?
Given fractions are 9658/475,1738/8825
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 9658/475,1738/8825, numerators are 9658,1738
Denominators are 475,8825
The GCF of 9658,1738 is 22 .
LCM of 475,8825 is 167675.
The greatest common factor of 9658/475,1738/8825 = [GCF of 9658,1738]/[LCM of 475,8825]= 22/167675
Therefore, the GCF of 9658/475,1738/8825 is 22/167675.
To find the highest common factor of 9658,1738, we have to find the factors of both numbers and list the highest common factor.
The factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658
The factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738
The HCF of 9658,1738 is 22.
Lets's calculate GCF of 9658,1738
| 2 | 9658, 1738 |
| 11 | 4829, 869 |
| 439, 79 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 9658,1738 By Matching Biggest Common Factor Method
Now, list down the factors of 9658
:1,2,11,22,439,878,4829,9658
Now, list down the factors of 1738
:1,2,11,22,79,158,869,1738
Greatest Common Factor
We found the factors 9658,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 9658,1738 is 22.
Lets's calculate LCM of 475,8825
| 5 | 475, 8825 |
| 5 | 95, 1765 |
| 19, 353 |
∴ So the LCM of the given numbers is 5 x 5 x 19 x 353 = 167675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/167675
Therefore, the GCF of Fractions 9658/475,1738/8825 is 22/167675
Least Common Multiple of 475,8825 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 475,8825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,8825) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(475,8825) x common factors =25 x 1 = 25
LCM(475,8825) = ( 475 × 8825 ) / 25
LCM(475,8825) = 4191875 / 25
LCM(475,8825) = 167675
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FAQs on GCF of Fractions of 9658/475, 1738/8825
1. What is the HCF of 9658,1738?
The HCF of 9658,1738 is 22
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 9658/475, 1738/8825?
Answer: GCF of Numerators as per given numbers 9658/475, 1738/8825 is
GCF of Numerators i.e. for 9658,1738 is 22
LCM of denominators i.e. for 475,8825 is 167675.
Thus, GCF of Fractions is 22/167675.Finally, GCF of Fractions for 9658/475, 1738/8825 is 22/167675.