GCF of 5642/417, 2464/246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5642/417, 2464/246 i.e 14/34194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5642/417, 2464/246.
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 5642/417,2464/246?
Given fractions are 5642/417,2464/246
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 5642/417,2464/246, numerators are 5642,2464
Denominators are 417,246
The GCF of 5642,2464 is 14 .
LCM of 417,246 is 34194.
The greatest common factor of 5642/417,2464/246 = [GCF of 5642,2464]/[LCM of 417,246]= 14/34194
Therefore, the GCF of 5642/417,2464/246 is 14/34194.
To find the highest common factor of 5642,2464, we have to find the factors of both numbers and list the highest common factor.
The factors of 5642 are 1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642
The factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464
The HCF of 5642,2464 is 14.
Lets's calculate GCF of 5642,2464
| 2 | 5642, 2464 |
| 7 | 2821, 1232 |
| 403, 176 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5642,2464 By Matching Biggest Common Factor Method
Now, list down the factors of 5642
:1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642
Now, list down the factors of 2464
:1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464
Greatest Common Factor
We found the factors 5642,2464 . The biggest common factor number is the GCF number.
So the greatest common factor 5642,2464 is 14.
Lets's calculate LCM of 417,246
| 3 | 417, 246 |
| 139, 82 |
∴ So the LCM of the given numbers is 3 x 139 x 82 = 34194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/34194
Therefore, the GCF of Fractions 5642/417,2464/246 is 14/34194
Least Common Multiple of 417,246 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 417,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,246) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,246) x common factors =3 x 1 = 3
LCM(417,246) = ( 417 × 246 ) / 3
LCM(417,246) = 102582 / 3
LCM(417,246) = 34194
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FAQs on GCF of Fractions of 5642/417, 2464/246
1. What is the HCF of 5642,2464?
The HCF of 5642,2464 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 5642/417, 2464/246?
Answer: GCF of Numerators as per given numbers 5642/417, 2464/246 is
GCF of Numerators i.e. for 5642,2464 is 14
LCM of denominators i.e. for 417,246 is 34194.
Thus, GCF of Fractions is 14/34194.Finally, GCF of Fractions for 5642/417, 2464/246 is 14/34194.