GCF of 4674/866, 9694/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4674/866, 9694/414 i.e 2/179262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4674/866, 9694/414.
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 4674/866,9694/414?
Given fractions are 4674/866,9694/414
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 4674/866,9694/414, numerators are 4674,9694
Denominators are 866,414
The GCF of 4674,9694 is 2 .
LCM of 866,414 is 179262.
The greatest common factor of 4674/866,9694/414 = [GCF of 4674,9694]/[LCM of 866,414]= 2/179262
Therefore, the GCF of 4674/866,9694/414 is 2/179262.
To find the highest common factor of 4674,9694, we have to find the factors of both numbers and list the highest common factor.
The factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The HCF of 4674,9694 is 2.
Lets's calculate GCF of 4674,9694
| 2 | 4674, 9694 |
| 2337, 4847 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4674,9694 By Matching Biggest Common Factor Method
Now, list down the factors of 4674
:1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Greatest Common Factor
We found the factors 4674,9694 . The biggest common factor number is the GCF number.
So the greatest common factor 4674,9694 is 2.
Lets's calculate LCM of 866,414
| 2 | 866, 414 |
| 433, 207 |
∴ So the LCM of the given numbers is 2 x 433 x 207 = 179262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/179262
Therefore, the GCF of Fractions 4674/866,9694/414 is 2/179262
Least Common Multiple of 866,414 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 866,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,414) x common factors =2 x 1 = 2
LCM(866,414) = ( 866 × 414 ) / 2
LCM(866,414) = 358524 / 2
LCM(866,414) = 179262
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FAQs on GCF of Fractions of 4674/866, 9694/414
1. What is the HCF of 4674,9694?
The HCF of 4674,9694 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 4674/866, 9694/414?
Answer: GCF of Numerators as per given numbers 4674/866, 9694/414 is
GCF of Numerators i.e. for 4674,9694 is 2
LCM of denominators i.e. for 866,414 is 179262.
Thus, GCF of Fractions is 2/179262.Finally, GCF of Fractions for 4674/866, 9694/414 is 2/179262.