GCF of 2117/206, 2233/503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2117/206, 2233/503 i.e 29/103618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2117/206, 2233/503.
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 2117/206,2233/503?
Given fractions are 2117/206,2233/503
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 2117/206,2233/503, numerators are 2117,2233
Denominators are 206,503
The GCF of 2117,2233 is 29 .
LCM of 206,503 is 103618.
The greatest common factor of 2117/206,2233/503 = [GCF of 2117,2233]/[LCM of 206,503]= 29/103618
Therefore, the GCF of 2117/206,2233/503 is 29/103618.
To find the highest common factor of 2117,2233, we have to find the factors of both numbers and list the highest common factor.
The factors of 2117 are 1, 29, 73, 2117
The factors of 2233 are 1, 7, 11, 29, 77, 203, 319, 2233
The HCF of 2117,2233 is 29.
Lets's calculate GCF of 2117,2233
| 29 | 2117, 2233 |
| 73, 77 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 2117,2233 By Matching Biggest Common Factor Method
Now, list down the factors of 2117
:1,29,73,2117
Now, list down the factors of 2233
:1,7,11,29,77,203,319,2233
Greatest Common Factor
We found the factors 2117,2233 . The biggest common factor number is the GCF number.
So the greatest common factor 2117,2233 is 29.
Lets's calculate LCM of 206,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 103618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/103618
Therefore, the GCF of Fractions 2117/206,2233/503 is 29/103618
Least Common Multiple of 206,503 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 206,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,503) x common factors =1 x 1 = 1
LCM(206,503) = ( 206 × 503 ) / 1
LCM(206,503) = 103618 / 1
LCM(206,503) = 103618
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FAQs on GCF of Fractions of 2117/206, 2233/503
1. What is the HCF of 2117,2233?
The HCF of 2117,2233 is 29
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 2117/206, 2233/503?
Answer: GCF of Numerators as per given numbers 2117/206, 2233/503 is
GCF of Numerators i.e. for 2117,2233 is 29
LCM of denominators i.e. for 206,503 is 103618.
Thus, GCF of Fractions is 29/103618.Finally, GCF of Fractions for 2117/206, 2233/503 is 29/103618.