GCF of 6522/104, 9706/8314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6522/104, 9706/8314 i.e 2/432328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6522/104, 9706/8314.
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 6522/104,9706/8314?
Given fractions are 6522/104,9706/8314
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 6522/104,9706/8314, numerators are 6522,9706
Denominators are 104,8314
The GCF of 6522,9706 is 2 .
LCM of 104,8314 is 432328.
The greatest common factor of 6522/104,9706/8314 = [GCF of 6522,9706]/[LCM of 104,8314]= 2/432328
Therefore, the GCF of 6522/104,9706/8314 is 2/432328.
To find the highest common factor of 6522,9706, we have to find the factors of both numbers and list the highest common factor.
The factors of 6522 are 1, 2, 3, 6, 1087, 2174, 3261, 6522
The factors of 9706 are 1, 2, 23, 46, 211, 422, 4853, 9706
The HCF of 6522,9706 is 2.
Lets's calculate GCF of 6522,9706
| 2 | 6522, 9706 |
| 3261, 4853 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6522,9706 By Matching Biggest Common Factor Method
Now, list down the factors of 6522
:1,2,3,6,1087,2174,3261,6522
Now, list down the factors of 9706
:1,2,23,46,211,422,4853,9706
Greatest Common Factor
We found the factors 6522,9706 . The biggest common factor number is the GCF number.
So the greatest common factor 6522,9706 is 2.
Lets's calculate LCM of 104,8314
| 2 | 104, 8314 |
| 52, 4157 |
∴ So the LCM of the given numbers is 2 x 52 x 4157 = 432328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/432328
Therefore, the GCF of Fractions 6522/104,9706/8314 is 2/432328
Least Common Multiple of 104,8314 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 104,8314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,8314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(104,8314) x common factors =2 x 1 = 2
LCM(104,8314) = ( 104 × 8314 ) / 2
LCM(104,8314) = 864656 / 2
LCM(104,8314) = 432328
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FAQs on GCF of Fractions of 6522/104, 9706/8314
1. What is the HCF of 6522,9706?
The HCF of 6522,9706 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 6522/104, 9706/8314?
Answer: GCF of Numerators as per given numbers 6522/104, 9706/8314 is
GCF of Numerators i.e. for 6522,9706 is 2
LCM of denominators i.e. for 104,8314 is 432328.
Thus, GCF of Fractions is 2/432328.Finally, GCF of Fractions for 6522/104, 9706/8314 is 2/432328.