GCF of 9727/162, 9664/5422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9727/162, 9664/5422 i.e 1/439182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9727/162, 9664/5422.
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 9727/162,9664/5422?
Given fractions are 9727/162,9664/5422
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 9727/162,9664/5422, numerators are 9727,9664
Denominators are 162,5422
The GCF of 9727,9664 is 1 .
LCM of 162,5422 is 439182.
The greatest common factor of 9727/162,9664/5422 = [GCF of 9727,9664]/[LCM of 162,5422]= 1/439182
Therefore, the GCF of 9727/162,9664/5422 is 1/439182.
To find the highest common factor of 9727,9664, we have to find the factors of both numbers and list the highest common factor.
The factors of 9727 are 1, 71, 137, 9727
The factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664
The HCF of 9727,9664 is 1.
Lets's calculate GCF of 9727,9664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9727,9664 By Matching Biggest Common Factor Method
Now, list down the factors of 9727
:1,71,137,9727
Now, list down the factors of 9664
:1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664
Greatest Common Factor
We found the factors 9727,9664 . The biggest common factor number is the GCF number.
So the greatest common factor 9727,9664 is 1.
Lets's calculate LCM of 162,5422
| 2 | 162, 5422 |
| 81, 2711 |
∴ So the LCM of the given numbers is 2 x 81 x 2711 = 439182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439182
Therefore, the GCF of Fractions 9727/162,9664/5422 is 1/439182
Least Common Multiple of 162,5422 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 162,5422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,5422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,5422) x common factors =2 x 1 = 2
LCM(162,5422) = ( 162 × 5422 ) / 2
LCM(162,5422) = 878364 / 2
LCM(162,5422) = 439182
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FAQs on GCF of Fractions of 9727/162, 9664/5422
1. What is the HCF of 9727,9664?
The HCF of 9727,9664 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 9727/162, 9664/5422?
Answer: GCF of Numerators as per given numbers 9727/162, 9664/5422 is
GCF of Numerators i.e. for 9727,9664 is 1
LCM of denominators i.e. for 162,5422 is 439182.
Thus, GCF of Fractions is 1/439182.Finally, GCF of Fractions for 9727/162, 9664/5422 is 1/439182.