GCF of 5475/206, 2037/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5475/206, 2037/101 i.e 3/20806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5475/206, 2037/101.
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 5475/206,2037/101?
Given fractions are 5475/206,2037/101
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 5475/206,2037/101, numerators are 5475,2037
Denominators are 206,101
The GCF of 5475,2037 is 3 .
LCM of 206,101 is 20806.
The greatest common factor of 5475/206,2037/101 = [GCF of 5475,2037]/[LCM of 206,101]= 3/20806
Therefore, the GCF of 5475/206,2037/101 is 3/20806.
To find the highest common factor of 5475,2037, we have to find the factors of both numbers and list the highest common factor.
The factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475
The factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037
The HCF of 5475,2037 is 3.
Lets's calculate GCF of 5475,2037
| 3 | 5475, 2037 |
| 1825, 679 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5475,2037 By Matching Biggest Common Factor Method
Now, list down the factors of 5475
:1,3,5,15,25,73,75,219,365,1095,1825,5475
Now, list down the factors of 2037
:1,3,7,21,97,291,679,2037
Greatest Common Factor
We found the factors 5475,2037 . The biggest common factor number is the GCF number.
So the greatest common factor 5475,2037 is 3.
Lets's calculate LCM of 206,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 20806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20806
Therefore, the GCF of Fractions 5475/206,2037/101 is 3/20806
Least Common Multiple of 206,101 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 206,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,101) x common factors =1 x 1 = 1
LCM(206,101) = ( 206 × 101 ) / 1
LCM(206,101) = 20806 / 1
LCM(206,101) = 20806
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FAQs on GCF of Fractions of 5475/206, 2037/101
1. What is the HCF of 5475,2037?
The HCF of 5475,2037 is 3
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 5475/206, 2037/101?
Answer: GCF of Numerators as per given numbers 5475/206, 2037/101 is
GCF of Numerators i.e. for 5475,2037 is 3
LCM of denominators i.e. for 206,101 is 20806.
Thus, GCF of Fractions is 3/20806.Finally, GCF of Fractions for 5475/206, 2037/101 is 3/20806.