GCF of 5546/461, 5642/8354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5546/461, 5642/8354 i.e 2/3851194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5546/461, 5642/8354.
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 5546/461,5642/8354?
Given fractions are 5546/461,5642/8354
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 5546/461,5642/8354, numerators are 5546,5642
Denominators are 461,8354
The GCF of 5546,5642 is 2 .
LCM of 461,8354 is 3851194.
The greatest common factor of 5546/461,5642/8354 = [GCF of 5546,5642]/[LCM of 461,8354]= 2/3851194
Therefore, the GCF of 5546/461,5642/8354 is 2/3851194.
To find the highest common factor of 5546,5642, we have to find the factors of both numbers and list the highest common factor.
The factors of 5546 are 1, 2, 47, 59, 94, 118, 2773, 5546
The factors of 5642 are 1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642
The HCF of 5546,5642 is 2.
Lets's calculate GCF of 5546,5642
| 2 | 5546, 5642 |
| 2773, 2821 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5546,5642 By Matching Biggest Common Factor Method
Now, list down the factors of 5546
:1,2,47,59,94,118,2773,5546
Now, list down the factors of 5642
:1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642
Greatest Common Factor
We found the factors 5546,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 5546,5642 is 2.
Lets's calculate LCM of 461,8354
Given numbers has no common factors except 1. So, there LCM is their product i.e 3851194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3851194
Therefore, the GCF of Fractions 5546/461,5642/8354 is 2/3851194
Least Common Multiple of 461,8354 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 461,8354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,8354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,8354) x common factors =1 x 1 = 1
LCM(461,8354) = ( 461 × 8354 ) / 1
LCM(461,8354) = 3851194 / 1
LCM(461,8354) = 3851194
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FAQs on GCF of Fractions of 5546/461, 5642/8354
1. What is the HCF of 5546,5642?
The HCF of 5546,5642 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 5546/461, 5642/8354?
Answer: GCF of Numerators as per given numbers 5546/461, 5642/8354 is
GCF of Numerators i.e. for 5546,5642 is 2
LCM of denominators i.e. for 461,8354 is 3851194.
Thus, GCF of Fractions is 2/3851194.Finally, GCF of Fractions for 5546/461, 5642/8354 is 2/3851194.