GCF of 9606/171, 5964/7189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9606/171, 5964/7189 i.e 6/1229319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9606/171, 5964/7189.
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 9606/171,5964/7189?
Given fractions are 9606/171,5964/7189
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 9606/171,5964/7189, numerators are 9606,5964
Denominators are 171,7189
The GCF of 9606,5964 is 6 .
LCM of 171,7189 is 1229319.
The greatest common factor of 9606/171,5964/7189 = [GCF of 9606,5964]/[LCM of 171,7189]= 6/1229319
Therefore, the GCF of 9606/171,5964/7189 is 6/1229319.
To find the highest common factor of 9606,5964, we have to find the factors of both numbers and list the highest common factor.
The factors of 9606 are 1, 2, 3, 6, 1601, 3202, 4803, 9606
The factors of 5964 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982, 5964
The HCF of 9606,5964 is 6.
Lets's calculate GCF of 9606,5964
| 2 | 9606, 5964 |
| 3 | 4803, 2982 |
| 1601, 994 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9606,5964 By Matching Biggest Common Factor Method
Now, list down the factors of 9606
:1,2,3,6,1601,3202,4803,9606
Now, list down the factors of 5964
:1,2,3,4,6,7,12,14,21,28,42,71,84,142,213,284,426,497,852,994,1491,1988,2982,5964
Greatest Common Factor
We found the factors 9606,5964 . The biggest common factor number is the GCF number.
So the greatest common factor 9606,5964 is 6.
Lets's calculate LCM of 171,7189
Given numbers has no common factors except 1. So, there LCM is their product i.e 1229319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1229319
Therefore, the GCF of Fractions 9606/171,5964/7189 is 6/1229319
Least Common Multiple of 171,7189 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 171,7189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,7189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,7189) x common factors =1 x 1 = 1
LCM(171,7189) = ( 171 × 7189 ) / 1
LCM(171,7189) = 1229319 / 1
LCM(171,7189) = 1229319
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FAQs on GCF of Fractions of 9606/171, 5964/7189
1. What is the HCF of 9606,5964?
The HCF of 9606,5964 is 6
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 9606/171, 5964/7189?
Answer: GCF of Numerators as per given numbers 9606/171, 5964/7189 is
GCF of Numerators i.e. for 9606,5964 is 6
LCM of denominators i.e. for 171,7189 is 1229319.
Thus, GCF of Fractions is 6/1229319.Finally, GCF of Fractions for 9606/171, 5964/7189 is 6/1229319.