GCF of 5562/38, 9785/388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5562/38, 9785/388 i.e 103/7372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5562/38, 9785/388.
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 5562/38,9785/388?
Given fractions are 5562/38,9785/388
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 5562/38,9785/388, numerators are 5562,9785
Denominators are 38,388
The GCF of 5562,9785 is 103 .
LCM of 38,388 is 7372.
The greatest common factor of 5562/38,9785/388 = [GCF of 5562,9785]/[LCM of 38,388]= 103/7372
Therefore, the GCF of 5562/38,9785/388 is 103/7372.
To find the highest common factor of 5562,9785, 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 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 5562,9785 is 103.
Lets's calculate GCF of 5562,9785
| 103 | 5562, 9785 |
| 54, 95 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 5562,9785 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 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 5562,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 5562,9785 is 103.
Lets's calculate LCM of 38,388
| 2 | 38, 388 |
| 19, 194 |
∴ So the LCM of the given numbers is 2 x 19 x 194 = 7372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/7372
Therefore, the GCF of Fractions 5562/38,9785/388 is 103/7372
Least Common Multiple of 38,388 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 38,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,388) x common factors =2 x 1 = 2
LCM(38,388) = ( 38 × 388 ) / 2
LCM(38,388) = 14744 / 2
LCM(38,388) = 7372
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FAQs on GCF of Fractions of 5562/38, 9785/388
1. What is the HCF of 5562,9785?
The HCF of 5562,9785 is 103
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 5562/38, 9785/388?
Answer: GCF of Numerators as per given numbers 5562/38, 9785/388 is
GCF of Numerators i.e. for 5562,9785 is 103
LCM of denominators i.e. for 38,388 is 7372.
Thus, GCF of Fractions is 103/7372.Finally, GCF of Fractions for 5562/38, 9785/388 is 103/7372.