GCF of 8351/744, 9666/2274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8351/744, 9666/2274 i.e 1/281976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8351/744, 9666/2274.
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 8351/744,9666/2274?
Given fractions are 8351/744,9666/2274
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 8351/744,9666/2274, numerators are 8351,9666
Denominators are 744,2274
The GCF of 8351,9666 is 1 .
LCM of 744,2274 is 281976.
The greatest common factor of 8351/744,9666/2274 = [GCF of 8351,9666]/[LCM of 744,2274]= 1/281976
Therefore, the GCF of 8351/744,9666/2274 is 1/281976.
To find the highest common factor of 8351,9666, we have to find the factors of both numbers and list the highest common factor.
The factors of 8351 are 1, 7, 1193, 8351
The factors of 9666 are 1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666
The HCF of 8351,9666 is 1.
Lets's calculate GCF of 8351,9666
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8351,9666 By Matching Biggest Common Factor Method
Now, list down the factors of 8351
:1,7,1193,8351
Now, list down the factors of 9666
:1,2,3,6,9,18,27,54,179,358,537,1074,1611,3222,4833,9666
Greatest Common Factor
We found the factors 8351,9666 . The biggest common factor number is the GCF number.
So the greatest common factor 8351,9666 is 1.
Lets's calculate LCM of 744,2274
| 2 | 744, 2274 |
| 3 | 372, 1137 |
| 124, 379 |
∴ So the LCM of the given numbers is 2 x 3 x 124 x 379 = 281976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281976
Therefore, the GCF of Fractions 8351/744,9666/2274 is 1/281976
Least Common Multiple of 744,2274 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 744,2274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,2274) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(744,2274) x common factors =6 x 1 = 6
LCM(744,2274) = ( 744 × 2274 ) / 6
LCM(744,2274) = 1691856 / 6
LCM(744,2274) = 281976
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FAQs on GCF of Fractions of 8351/744, 9666/2274
1. What is the HCF of 8351,9666?
The HCF of 8351,9666 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 8351/744, 9666/2274?
Answer: GCF of Numerators as per given numbers 8351/744, 9666/2274 is
GCF of Numerators i.e. for 8351,9666 is 1
LCM of denominators i.e. for 744,2274 is 281976.
Thus, GCF of Fractions is 1/281976.Finally, GCF of Fractions for 8351/744, 9666/2274 is 1/281976.