GCF of 5216/203, 4100/251
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5216/203, 4100/251 i.e 4/50953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5216/203, 4100/251.
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 5216/203,4100/251?
Given fractions are 5216/203,4100/251
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 5216/203,4100/251, numerators are 5216,4100
Denominators are 203,251
The GCF of 5216,4100 is 4 .
LCM of 203,251 is 50953.
The greatest common factor of 5216/203,4100/251 = [GCF of 5216,4100]/[LCM of 203,251]= 4/50953
Therefore, the GCF of 5216/203,4100/251 is 4/50953.
To find the highest common factor of 5216,4100, we have to find the factors of both numbers and list the highest common factor.
The factors of 5216 are 1, 2, 4, 8, 16, 32, 163, 326, 652, 1304, 2608, 5216
The factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100
The HCF of 5216,4100 is 4.
Lets's calculate GCF of 5216,4100
| 2 | 5216, 4100 |
| 2 | 2608, 2050 |
| 1304, 1025 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5216,4100 By Matching Biggest Common Factor Method
Now, list down the factors of 5216
:1,2,4,8,16,32,163,326,652,1304,2608,5216
Now, list down the factors of 4100
:1,2,4,5,10,20,25,41,50,82,100,164,205,410,820,1025,2050,4100
Greatest Common Factor
We found the factors 5216,4100 . The biggest common factor number is the GCF number.
So the greatest common factor 5216,4100 is 4.
Lets's calculate LCM of 203,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 50953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/50953
Therefore, the GCF of Fractions 5216/203,4100/251 is 4/50953
Least Common Multiple of 203,251 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 203,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,251) x common factors =1 x 1 = 1
LCM(203,251) = ( 203 × 251 ) / 1
LCM(203,251) = 50953 / 1
LCM(203,251) = 50953
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FAQs on GCF of Fractions of 5216/203, 4100/251
1. What is the HCF of 5216,4100?
The HCF of 5216,4100 is 4
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 5216/203, 4100/251?
Answer: GCF of Numerators as per given numbers 5216/203, 4100/251 is
GCF of Numerators i.e. for 5216,4100 is 4
LCM of denominators i.e. for 203,251 is 50953.
Thus, GCF of Fractions is 4/50953.Finally, GCF of Fractions for 5216/203, 4100/251 is 4/50953.