GCF of 2201/833, 5077/5185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2201/833, 5077/5185 i.e 1/254065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2201/833, 5077/5185.
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 2201/833,5077/5185?
Given fractions are 2201/833,5077/5185
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 2201/833,5077/5185, numerators are 2201,5077
Denominators are 833,5185
The GCF of 2201,5077 is 1 .
LCM of 833,5185 is 254065.
The greatest common factor of 2201/833,5077/5185 = [GCF of 2201,5077]/[LCM of 833,5185]= 1/254065
Therefore, the GCF of 2201/833,5077/5185 is 1/254065.
To find the highest common factor of 2201,5077, we have to find the factors of both numbers and list the highest common factor.
The factors of 2201 are 1, 31, 71, 2201
The factors of 5077 are 1, 5077
The HCF of 2201,5077 is 1.
Lets's calculate GCF of 2201,5077
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2201,5077 By Matching Biggest Common Factor Method
Now, list down the factors of 2201
:1,31,71,2201
Now, list down the factors of 5077
:1,5077
Greatest Common Factor
We found the factors 2201,5077 . The biggest common factor number is the GCF number.
So the greatest common factor 2201,5077 is 1.
Lets's calculate LCM of 833,5185
| 17 | 833, 5185 |
| 49, 305 |
∴ So the LCM of the given numbers is 17 x 49 x 305 = 254065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254065
Therefore, the GCF of Fractions 2201/833,5077/5185 is 1/254065
Least Common Multiple of 833,5185 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 833,5185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,5185) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(833,5185) x common factors =17 x 1 = 17
LCM(833,5185) = ( 833 × 5185 ) / 17
LCM(833,5185) = 4319105 / 17
LCM(833,5185) = 254065
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FAQs on GCF of Fractions of 2201/833, 5077/5185
1. What is the HCF of 2201,5077?
The HCF of 2201,5077 is 1
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 2201/833, 5077/5185?
Answer: GCF of Numerators as per given numbers 2201/833, 5077/5185 is
GCF of Numerators i.e. for 2201,5077 is 1
LCM of denominators i.e. for 833,5185 is 254065.
Thus, GCF of Fractions is 1/254065.Finally, GCF of Fractions for 2201/833, 5077/5185 is 1/254065.