GCF of 6464/204, 4117/9360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6464/204, 4117/9360 i.e 1/159120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6464/204, 4117/9360.
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 6464/204,4117/9360?
Given fractions are 6464/204,4117/9360
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 6464/204,4117/9360, numerators are 6464,4117
Denominators are 204,9360
The GCF of 6464,4117 is 1 .
LCM of 204,9360 is 159120.
The greatest common factor of 6464/204,4117/9360 = [GCF of 6464,4117]/[LCM of 204,9360]= 1/159120
Therefore, the GCF of 6464/204,4117/9360 is 1/159120.
To find the highest common factor of 6464,4117, we have to find the factors of both numbers and list the highest common factor.
The factors of 6464 are 1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232, 6464
The factors of 4117 are 1, 23, 179, 4117
The HCF of 6464,4117 is 1.
Lets's calculate GCF of 6464,4117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6464,4117 By Matching Biggest Common Factor Method
Now, list down the factors of 6464
:1,2,4,8,16,32,64,101,202,404,808,1616,3232,6464
Now, list down the factors of 4117
:1,23,179,4117
Greatest Common Factor
We found the factors 6464,4117 . The biggest common factor number is the GCF number.
So the greatest common factor 6464,4117 is 1.
Lets's calculate LCM of 204,9360
| 2 | 204, 9360 |
| 2 | 102, 4680 |
| 3 | 51, 2340 |
| 17, 780 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 780 = 159120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159120
Therefore, the GCF of Fractions 6464/204,4117/9360 is 1/159120
Least Common Multiple of 204,9360 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 204,9360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,9360) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(204,9360) x common factors =12 x 1 = 12
LCM(204,9360) = ( 204 × 9360 ) / 12
LCM(204,9360) = 1909440 / 12
LCM(204,9360) = 159120
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FAQs on GCF of Fractions of 6464/204, 4117/9360
1. What is the HCF of 6464,4117?
The HCF of 6464,4117 is 1
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 6464/204, 4117/9360?
Answer: GCF of Numerators as per given numbers 6464/204, 4117/9360 is
GCF of Numerators i.e. for 6464,4117 is 1
LCM of denominators i.e. for 204,9360 is 159120.
Thus, GCF of Fractions is 1/159120.Finally, GCF of Fractions for 6464/204, 4117/9360 is 1/159120.