GCF of 5562/903, 6194/7453
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5562/903, 6194/7453 i.e 2/6730059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5562/903, 6194/7453.
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 5562/903,6194/7453?
Given fractions are 5562/903,6194/7453
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 5562/903,6194/7453, numerators are 5562,6194
Denominators are 903,7453
The GCF of 5562,6194 is 2 .
LCM of 903,7453 is 6730059.
The greatest common factor of 5562/903,6194/7453 = [GCF of 5562,6194]/[LCM of 903,7453]= 2/6730059
Therefore, the GCF of 5562/903,6194/7453 is 2/6730059.
To find the highest common factor of 5562,6194, we have to find the factors of both numbers and list the highest common factor.
The factors of 5562 are 1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562
The factors of 6194 are 1, 2, 19, 38, 163, 326, 3097, 6194
The HCF of 5562,6194 is 2.
Lets's calculate GCF of 5562,6194
| 2 | 5562, 6194 |
| 2781, 3097 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5562,6194 By Matching Biggest Common Factor Method
Now, list down the factors of 5562
:1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562
Now, list down the factors of 6194
:1,2,19,38,163,326,3097,6194
Greatest Common Factor
We found the factors 5562,6194 . The biggest common factor number is the GCF number.
So the greatest common factor 5562,6194 is 2.
Lets's calculate LCM of 903,7453
Given numbers has no common factors except 1. So, there LCM is their product i.e 6730059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6730059
Therefore, the GCF of Fractions 5562/903,6194/7453 is 2/6730059
Least Common Multiple of 903,7453 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 903,7453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,7453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,7453) x common factors =1 x 1 = 1
LCM(903,7453) = ( 903 × 7453 ) / 1
LCM(903,7453) = 6730059 / 1
LCM(903,7453) = 6730059
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FAQs on GCF of Fractions of 5562/903, 6194/7453
1. What is the HCF of 5562,6194?
The HCF of 5562,6194 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 5562/903, 6194/7453?
Answer: GCF of Numerators as per given numbers 5562/903, 6194/7453 is
GCF of Numerators i.e. for 5562,6194 is 2
LCM of denominators i.e. for 903,7453 is 6730059.
Thus, GCF of Fractions is 2/6730059.Finally, GCF of Fractions for 5562/903, 6194/7453 is 2/6730059.