GCF of 9318/682, 1062/9705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9318/682, 1062/9705 i.e 6/6618810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9318/682, 1062/9705.
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 9318/682,1062/9705?
Given fractions are 9318/682,1062/9705
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 9318/682,1062/9705, numerators are 9318,1062
Denominators are 682,9705
The GCF of 9318,1062 is 6 .
LCM of 682,9705 is 6618810.
The greatest common factor of 9318/682,1062/9705 = [GCF of 9318,1062]/[LCM of 682,9705]= 6/6618810
Therefore, the GCF of 9318/682,1062/9705 is 6/6618810.
To find the highest common factor of 9318,1062, we have to find the factors of both numbers and list the highest common factor.
The factors of 9318 are 1, 2, 3, 6, 1553, 3106, 4659, 9318
The factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062
The HCF of 9318,1062 is 6.
Lets's calculate GCF of 9318,1062
| 2 | 9318, 1062 |
| 3 | 4659, 531 |
| 1553, 177 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9318,1062 By Matching Biggest Common Factor Method
Now, list down the factors of 9318
:1,2,3,6,1553,3106,4659,9318
Now, list down the factors of 1062
:1,2,3,6,9,18,59,118,177,354,531,1062
Greatest Common Factor
We found the factors 9318,1062 . The biggest common factor number is the GCF number.
So the greatest common factor 9318,1062 is 6.
Lets's calculate LCM of 682,9705
Given numbers has no common factors except 1. So, there LCM is their product i.e 6618810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6618810
Therefore, the GCF of Fractions 9318/682,1062/9705 is 6/6618810
Least Common Multiple of 682,9705 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 682,9705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,9705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,9705) x common factors =1 x 1 = 1
LCM(682,9705) = ( 682 × 9705 ) / 1
LCM(682,9705) = 6618810 / 1
LCM(682,9705) = 6618810
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FAQs on GCF of Fractions of 9318/682, 1062/9705
1. What is the HCF of 9318,1062?
The HCF of 9318,1062 is 6
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 9318/682, 1062/9705?
Answer: GCF of Numerators as per given numbers 9318/682, 1062/9705 is
GCF of Numerators i.e. for 9318,1062 is 6
LCM of denominators i.e. for 682,9705 is 6618810.
Thus, GCF of Fractions is 6/6618810.Finally, GCF of Fractions for 9318/682, 1062/9705 is 6/6618810.