GCF of 9790/571, 8266/1432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9790/571, 8266/1432 i.e 2/817672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9790/571, 8266/1432.
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 9790/571,8266/1432?
Given fractions are 9790/571,8266/1432
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 9790/571,8266/1432, numerators are 9790,8266
Denominators are 571,1432
The GCF of 9790,8266 is 2 .
LCM of 571,1432 is 817672.
The greatest common factor of 9790/571,8266/1432 = [GCF of 9790,8266]/[LCM of 571,1432]= 2/817672
Therefore, the GCF of 9790/571,8266/1432 is 2/817672.
To find the highest common factor of 9790,8266, we have to find the factors of both numbers and list the highest common factor.
The factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790
The factors of 8266 are 1, 2, 4133, 8266
The HCF of 9790,8266 is 2.
Lets's calculate GCF of 9790,8266
| 2 | 9790, 8266 |
| 4895, 4133 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9790,8266 By Matching Biggest Common Factor Method
Now, list down the factors of 9790
:1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790
Now, list down the factors of 8266
:1,2,4133,8266
Greatest Common Factor
We found the factors 9790,8266 . The biggest common factor number is the GCF number.
So the greatest common factor 9790,8266 is 2.
Lets's calculate LCM of 571,1432
Given numbers has no common factors except 1. So, there LCM is their product i.e 817672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/817672
Therefore, the GCF of Fractions 9790/571,8266/1432 is 2/817672
Least Common Multiple of 571,1432 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 571,1432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,1432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,1432) x common factors =1 x 1 = 1
LCM(571,1432) = ( 571 × 1432 ) / 1
LCM(571,1432) = 817672 / 1
LCM(571,1432) = 817672
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FAQs on GCF of Fractions of 9790/571, 8266/1432
1. What is the HCF of 9790,8266?
The HCF of 9790,8266 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 9790/571, 8266/1432?
Answer: GCF of Numerators as per given numbers 9790/571, 8266/1432 is
GCF of Numerators i.e. for 9790,8266 is 2
LCM of denominators i.e. for 571,1432 is 817672.
Thus, GCF of Fractions is 2/817672.Finally, GCF of Fractions for 9790/571, 8266/1432 is 2/817672.