GCF of 555/213, 814/103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 555/213, 814/103 i.e 37/21939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/213, 814/103.
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 555/213,814/103?
Given fractions are 555/213,814/103
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 555/213,814/103, numerators are 555,814
Denominators are 213,103
The GCF of 555,814 is 37 .
LCM of 213,103 is 21939.
The greatest common factor of 555/213,814/103 = [GCF of 555,814]/[LCM of 213,103]= 37/21939
Therefore, the GCF of 555/213,814/103 is 37/21939.
To find the highest common factor of 555,814, we have to find the factors of both numbers and list the highest common factor.
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The HCF of 555,814 is 37.
Lets's calculate GCF of 555,814
| 37 | 555, 814 |
| 15, 22 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 555,814 By Matching Biggest Common Factor Method
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 555,814 . The biggest common factor number is the GCF number.
So the greatest common factor 555,814 is 37.
Lets's calculate LCM of 213,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 21939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/21939
Therefore, the GCF of Fractions 555/213,814/103 is 37/21939
Least Common Multiple of 213,103 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 213,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,103) x common factors =1 x 1 = 1
LCM(213,103) = ( 213 × 103 ) / 1
LCM(213,103) = 21939 / 1
LCM(213,103) = 21939
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FAQs on GCF of Fractions of 555/213, 814/103
1. What is the HCF of 555,814?
The HCF of 555,814 is 37
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 555/213, 814/103?
Answer: GCF of Numerators as per given numbers 555/213, 814/103 is
GCF of Numerators i.e. for 555,814 is 37
LCM of denominators i.e. for 213,103 is 21939.
Thus, GCF of Fractions is 37/21939.Finally, GCF of Fractions for 555/213, 814/103 is 37/21939.