GCF of 6566/766, 9338/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6566/766, 9338/724 i.e 14/277292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6566/766, 9338/724.
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 6566/766,9338/724?
Given fractions are 6566/766,9338/724
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 6566/766,9338/724, numerators are 6566,9338
Denominators are 766,724
The GCF of 6566,9338 is 14 .
LCM of 766,724 is 277292.
The greatest common factor of 6566/766,9338/724 = [GCF of 6566,9338]/[LCM of 766,724]= 14/277292
Therefore, the GCF of 6566/766,9338/724 is 14/277292.
To find the highest common factor of 6566,9338, we have to find the factors of both numbers and list the highest common factor.
The factors of 6566 are 1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566
The factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338
The HCF of 6566,9338 is 14.
Lets's calculate GCF of 6566,9338
| 2 | 6566, 9338 |
| 7 | 3283, 4669 |
| 469, 667 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6566,9338 By Matching Biggest Common Factor Method
Now, list down the factors of 6566
:1,2,7,14,49,67,98,134,469,938,3283,6566
Now, list down the factors of 9338
:1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338
Greatest Common Factor
We found the factors 6566,9338 . The biggest common factor number is the GCF number.
So the greatest common factor 6566,9338 is 14.
Lets's calculate LCM of 766,724
| 2 | 766, 724 |
| 383, 362 |
∴ So the LCM of the given numbers is 2 x 383 x 362 = 277292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/277292
Therefore, the GCF of Fractions 6566/766,9338/724 is 14/277292
Least Common Multiple of 766,724 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 766,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,724) x common factors =2 x 1 = 2
LCM(766,724) = ( 766 × 724 ) / 2
LCM(766,724) = 554584 / 2
LCM(766,724) = 277292
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FAQs on GCF of Fractions of 6566/766, 9338/724
1. What is the HCF of 6566,9338?
The HCF of 6566,9338 is 14
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 6566/766, 9338/724?
Answer: GCF of Numerators as per given numbers 6566/766, 9338/724 is
GCF of Numerators i.e. for 6566,9338 is 14
LCM of denominators i.e. for 766,724 is 277292.
Thus, GCF of Fractions is 14/277292.Finally, GCF of Fractions for 6566/766, 9338/724 is 14/277292.