GCF of 9553/670, 9764/8266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9553/670, 9764/8266 i.e 1/2769110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9553/670, 9764/8266.
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 9553/670,9764/8266?
Given fractions are 9553/670,9764/8266
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 9553/670,9764/8266, numerators are 9553,9764
Denominators are 670,8266
The GCF of 9553,9764 is 1 .
LCM of 670,8266 is 2769110.
The greatest common factor of 9553/670,9764/8266 = [GCF of 9553,9764]/[LCM of 670,8266]= 1/2769110
Therefore, the GCF of 9553/670,9764/8266 is 1/2769110.
To find the highest common factor of 9553,9764, we have to find the factors of both numbers and list the highest common factor.
The factors of 9553 are 1, 41, 233, 9553
The factors of 9764 are 1, 2, 4, 2441, 4882, 9764
The HCF of 9553,9764 is 1.
Lets's calculate GCF of 9553,9764
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9553,9764 By Matching Biggest Common Factor Method
Now, list down the factors of 9553
:1,41,233,9553
Now, list down the factors of 9764
:1,2,4,2441,4882,9764
Greatest Common Factor
We found the factors 9553,9764 . The biggest common factor number is the GCF number.
So the greatest common factor 9553,9764 is 1.
Lets's calculate LCM of 670,8266
| 2 | 670, 8266 |
| 335, 4133 |
∴ So the LCM of the given numbers is 2 x 335 x 4133 = 2769110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2769110
Therefore, the GCF of Fractions 9553/670,9764/8266 is 1/2769110
Least Common Multiple of 670,8266 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 670,8266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,8266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,8266) x common factors =2 x 1 = 2
LCM(670,8266) = ( 670 × 8266 ) / 2
LCM(670,8266) = 5538220 / 2
LCM(670,8266) = 2769110
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FAQs on GCF of Fractions of 9553/670, 9764/8266
1. What is the HCF of 9553,9764?
The HCF of 9553,9764 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 9553/670, 9764/8266?
Answer: GCF of Numerators as per given numbers 9553/670, 9764/8266 is
GCF of Numerators i.e. for 9553,9764 is 1
LCM of denominators i.e. for 670,8266 is 2769110.
Thus, GCF of Fractions is 1/2769110.Finally, GCF of Fractions for 9553/670, 9764/8266 is 1/2769110.