GCF of 9617/645, 4075/3382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9617/645, 4075/3382 i.e 163/2181390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9617/645, 4075/3382.
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 9617/645,4075/3382?
Given fractions are 9617/645,4075/3382
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 9617/645,4075/3382, numerators are 9617,4075
Denominators are 645,3382
The GCF of 9617,4075 is 163 .
LCM of 645,3382 is 2181390.
The greatest common factor of 9617/645,4075/3382 = [GCF of 9617,4075]/[LCM of 645,3382]= 163/2181390
Therefore, the GCF of 9617/645,4075/3382 is 163/2181390.
To find the highest common factor of 9617,4075, we have to find the factors of both numbers and list the highest common factor.
The factors of 9617 are 1, 59, 163, 9617
The factors of 4075 are 1, 5, 25, 163, 815, 4075
The HCF of 9617,4075 is 163.
Lets's calculate GCF of 9617,4075
| 163 | 9617, 4075 |
| 59, 25 |
∴ So the GCF of the given numbers is 163 = 163
Greatest Common Factor of 9617,4075 By Matching Biggest Common Factor Method
Now, list down the factors of 9617
:1,59,163,9617
Now, list down the factors of 4075
:1,5,25,163,815,4075
Greatest Common Factor
We found the factors 9617,4075 . The biggest common factor number is the GCF number.
So the greatest common factor 9617,4075 is 163.
Lets's calculate LCM of 645,3382
Given numbers has no common factors except 1. So, there LCM is their product i.e 2181390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 163/2181390
Therefore, the GCF of Fractions 9617/645,4075/3382 is 163/2181390
Least Common Multiple of 645,3382 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 645,3382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,3382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,3382) x common factors =1 x 1 = 1
LCM(645,3382) = ( 645 × 3382 ) / 1
LCM(645,3382) = 2181390 / 1
LCM(645,3382) = 2181390
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FAQs on GCF of Fractions of 9617/645, 4075/3382
1. What is the HCF of 9617,4075?
The HCF of 9617,4075 is 163
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 9617/645, 4075/3382?
Answer: GCF of Numerators as per given numbers 9617/645, 4075/3382 is
GCF of Numerators i.e. for 9617,4075 is 163
LCM of denominators i.e. for 645,3382 is 2181390.
Thus, GCF of Fractions is 163/2181390.Finally, GCF of Fractions for 9617/645, 4075/3382 is 163/2181390.