GCF of 7334/316, 9766/2866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7334/316, 9766/2866 i.e 38/452828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7334/316, 9766/2866.
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 7334/316,9766/2866?
Given fractions are 7334/316,9766/2866
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 7334/316,9766/2866, numerators are 7334,9766
Denominators are 316,2866
The GCF of 7334,9766 is 38 .
LCM of 316,2866 is 452828.
The greatest common factor of 7334/316,9766/2866 = [GCF of 7334,9766]/[LCM of 316,2866]= 38/452828
Therefore, the GCF of 7334/316,9766/2866 is 38/452828.
To find the highest common factor of 7334,9766, we have to find the factors of both numbers and list the highest common factor.
The factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334
The factors of 9766 are 1, 2, 19, 38, 257, 514, 4883, 9766
The HCF of 7334,9766 is 38.
Lets's calculate GCF of 7334,9766
| 2 | 7334, 9766 |
| 19 | 3667, 4883 |
| 193, 257 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 7334,9766 By Matching Biggest Common Factor Method
Now, list down the factors of 7334
:1,2,19,38,193,386,3667,7334
Now, list down the factors of 9766
:1,2,19,38,257,514,4883,9766
Greatest Common Factor
We found the factors 7334,9766 . The biggest common factor number is the GCF number.
So the greatest common factor 7334,9766 is 38.
Lets's calculate LCM of 316,2866
| 2 | 316, 2866 |
| 158, 1433 |
∴ So the LCM of the given numbers is 2 x 158 x 1433 = 452828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/452828
Therefore, the GCF of Fractions 7334/316,9766/2866 is 38/452828
Least Common Multiple of 316,2866 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 316,2866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,2866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(316,2866) x common factors =2 x 1 = 2
LCM(316,2866) = ( 316 × 2866 ) / 2
LCM(316,2866) = 905656 / 2
LCM(316,2866) = 452828
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FAQs on GCF of Fractions of 7334/316, 9766/2866
1. What is the HCF of 7334,9766?
The HCF of 7334,9766 is 38
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 7334/316, 9766/2866?
Answer: GCF of Numerators as per given numbers 7334/316, 9766/2866 is
GCF of Numerators i.e. for 7334,9766 is 38
LCM of denominators i.e. for 316,2866 is 452828.
Thus, GCF of Fractions is 38/452828.Finally, GCF of Fractions for 7334/316, 9766/2866 is 38/452828.