GCF of 9667/429, 8138/9720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9667/429, 8138/9720 i.e 1/1389960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9667/429, 8138/9720.
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 9667/429,8138/9720?
Given fractions are 9667/429,8138/9720
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 9667/429,8138/9720, numerators are 9667,8138
Denominators are 429,9720
The GCF of 9667,8138 is 1 .
LCM of 429,9720 is 1389960.
The greatest common factor of 9667/429,8138/9720 = [GCF of 9667,8138]/[LCM of 429,9720]= 1/1389960
Therefore, the GCF of 9667/429,8138/9720 is 1/1389960.
To find the highest common factor of 9667,8138, we have to find the factors of both numbers and list the highest common factor.
The factors of 9667 are 1, 7, 1381, 9667
The factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138
The HCF of 9667,8138 is 1.
Lets's calculate GCF of 9667,8138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9667,8138 By Matching Biggest Common Factor Method
Now, list down the factors of 9667
:1,7,1381,9667
Now, list down the factors of 8138
:1,2,13,26,313,626,4069,8138
Greatest Common Factor
We found the factors 9667,8138 . The biggest common factor number is the GCF number.
So the greatest common factor 9667,8138 is 1.
Lets's calculate LCM of 429,9720
| 3 | 429, 9720 |
| 143, 3240 |
∴ So the LCM of the given numbers is 3 x 143 x 3240 = 1389960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1389960
Therefore, the GCF of Fractions 9667/429,8138/9720 is 1/1389960
Least Common Multiple of 429,9720 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 429,9720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,9720) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,9720) x common factors =3 x 1 = 3
LCM(429,9720) = ( 429 × 9720 ) / 3
LCM(429,9720) = 4169880 / 3
LCM(429,9720) = 1389960
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FAQs on GCF of Fractions of 9667/429, 8138/9720
1. What is the HCF of 9667,8138?
The HCF of 9667,8138 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 9667/429, 8138/9720?
Answer: GCF of Numerators as per given numbers 9667/429, 8138/9720 is
GCF of Numerators i.e. for 9667,8138 is 1
LCM of denominators i.e. for 429,9720 is 1389960.
Thus, GCF of Fractions is 1/1389960.Finally, GCF of Fractions for 9667/429, 8138/9720 is 1/1389960.