GCF of 5546/784, 4107/1043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5546/784, 4107/1043 i.e 1/116816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5546/784, 4107/1043.
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 5546/784,4107/1043?
Given fractions are 5546/784,4107/1043
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 5546/784,4107/1043, numerators are 5546,4107
Denominators are 784,1043
The GCF of 5546,4107 is 1 .
LCM of 784,1043 is 116816.
The greatest common factor of 5546/784,4107/1043 = [GCF of 5546,4107]/[LCM of 784,1043]= 1/116816
Therefore, the GCF of 5546/784,4107/1043 is 1/116816.
To find the highest common factor of 5546,4107, 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 4107 are 1, 3, 37, 111, 1369, 4107
The HCF of 5546,4107 is 1.
Lets's calculate GCF of 5546,4107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5546,4107 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 4107
:1,3,37,111,1369,4107
Greatest Common Factor
We found the factors 5546,4107 . The biggest common factor number is the GCF number.
So the greatest common factor 5546,4107 is 1.
Lets's calculate LCM of 784,1043
| 7 | 784, 1043 |
| 112, 149 |
∴ So the LCM of the given numbers is 7 x 112 x 149 = 116816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116816
Therefore, the GCF of Fractions 5546/784,4107/1043 is 1/116816
Least Common Multiple of 784,1043 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 784,1043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,1043) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(784,1043) x common factors =7 x 1 = 7
LCM(784,1043) = ( 784 × 1043 ) / 7
LCM(784,1043) = 817712 / 7
LCM(784,1043) = 116816
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FAQs on GCF of Fractions of 5546/784, 4107/1043
1. What is the HCF of 5546,4107?
The HCF of 5546,4107 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 5546/784, 4107/1043?
Answer: GCF of Numerators as per given numbers 5546/784, 4107/1043 is
GCF of Numerators i.e. for 5546,4107 is 1
LCM of denominators i.e. for 784,1043 is 116816.
Thus, GCF of Fractions is 1/116816.Finally, GCF of Fractions for 5546/784, 4107/1043 is 1/116816.