GCF of 9162/169, 9968/717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9162/169, 9968/717 i.e 2/121173 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9162/169, 9968/717.
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 9162/169,9968/717?
Given fractions are 9162/169,9968/717
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 9162/169,9968/717, numerators are 9162,9968
Denominators are 169,717
The GCF of 9162,9968 is 2 .
LCM of 169,717 is 121173.
The greatest common factor of 9162/169,9968/717 = [GCF of 9162,9968]/[LCM of 169,717]= 2/121173
Therefore, the GCF of 9162/169,9968/717 is 2/121173.
To find the highest common factor of 9162,9968, we have to find the factors of both numbers and list the highest common factor.
The factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The HCF of 9162,9968 is 2.
Lets's calculate GCF of 9162,9968
| 2 | 9162, 9968 |
| 4581, 4984 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9162,9968 By Matching Biggest Common Factor Method
Now, list down the factors of 9162
:1,2,3,6,9,18,509,1018,1527,3054,4581,9162
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 9162,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 9162,9968 is 2.
Lets's calculate LCM of 169,717
Given numbers has no common factors except 1. So, there LCM is their product i.e 121173
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121173
Therefore, the GCF of Fractions 9162/169,9968/717 is 2/121173
Least Common Multiple of 169,717 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 169,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,717) x common factors =1 x 1 = 1
LCM(169,717) = ( 169 × 717 ) / 1
LCM(169,717) = 121173 / 1
LCM(169,717) = 121173
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FAQs on GCF of Fractions of 9162/169, 9968/717
1. What is the HCF of 9162,9968?
The HCF of 9162,9968 is 2
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 9162/169, 9968/717?
Answer: GCF of Numerators as per given numbers 9162/169, 9968/717 is
GCF of Numerators i.e. for 9162,9968 is 2
LCM of denominators i.e. for 169,717 is 121173.
Thus, GCF of Fractions is 2/121173.Finally, GCF of Fractions for 9162/169, 9968/717 is 2/121173.