GCF of 5161/110, 4410/803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5161/110, 4410/803 i.e 1/8030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5161/110, 4410/803.
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 5161/110,4410/803?
Given fractions are 5161/110,4410/803
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 5161/110,4410/803, numerators are 5161,4410
Denominators are 110,803
The GCF of 5161,4410 is 1 .
LCM of 110,803 is 8030.
The greatest common factor of 5161/110,4410/803 = [GCF of 5161,4410]/[LCM of 110,803]= 1/8030
Therefore, the GCF of 5161/110,4410/803 is 1/8030.
To find the highest common factor of 5161,4410, we have to find the factors of both numbers and list the highest common factor.
The factors of 5161 are 1, 13, 397, 5161
The factors of 4410 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205, 4410
The HCF of 5161,4410 is 1.
Lets's calculate GCF of 5161,4410
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5161,4410 By Matching Biggest Common Factor Method
Now, list down the factors of 5161
:1,13,397,5161
Now, list down the factors of 4410
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,49,63,70,90,98,105,126,147,210,245,294,315,441,490,630,735,882,1470,2205,4410
Greatest Common Factor
We found the factors 5161,4410 . The biggest common factor number is the GCF number.
So the greatest common factor 5161,4410 is 1.
Lets's calculate LCM of 110,803
| 11 | 110, 803 |
| 10, 73 |
∴ So the LCM of the given numbers is 11 x 10 x 73 = 8030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8030
Therefore, the GCF of Fractions 5161/110,4410/803 is 1/8030
Least Common Multiple of 110,803 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 110,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,803) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(110,803) x common factors =11 x 1 = 11
LCM(110,803) = ( 110 × 803 ) / 11
LCM(110,803) = 88330 / 11
LCM(110,803) = 8030
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FAQs on GCF of Fractions of 5161/110, 4410/803
1. What is the HCF of 5161,4410?
The HCF of 5161,4410 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 5161/110, 4410/803?
Answer: GCF of Numerators as per given numbers 5161/110, 4410/803 is
GCF of Numerators i.e. for 5161,4410 is 1
LCM of denominators i.e. for 110,803 is 8030.
Thus, GCF of Fractions is 1/8030.Finally, GCF of Fractions for 5161/110, 4410/803 is 1/8030.