GCF of 5830/221, 2805/734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5830/221, 2805/734 i.e 55/162214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5830/221, 2805/734.
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 5830/221,2805/734?
Given fractions are 5830/221,2805/734
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 5830/221,2805/734, numerators are 5830,2805
Denominators are 221,734
The GCF of 5830,2805 is 55 .
LCM of 221,734 is 162214.
The greatest common factor of 5830/221,2805/734 = [GCF of 5830,2805]/[LCM of 221,734]= 55/162214
Therefore, the GCF of 5830/221,2805/734 is 55/162214.
To find the highest common factor of 5830,2805, we have to find the factors of both numbers and list the highest common factor.
The factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830
The factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805
The HCF of 5830,2805 is 55.
Lets's calculate GCF of 5830,2805
| 5 | 5830, 2805 |
| 11 | 1166, 561 |
| 106, 51 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 5830,2805 By Matching Biggest Common Factor Method
Now, list down the factors of 5830
:1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830
Now, list down the factors of 2805
:1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805
Greatest Common Factor
We found the factors 5830,2805 . The biggest common factor number is the GCF number.
So the greatest common factor 5830,2805 is 55.
Lets's calculate LCM of 221,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 162214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/162214
Therefore, the GCF of Fractions 5830/221,2805/734 is 55/162214
Least Common Multiple of 221,734 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 221,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,734) x common factors =1 x 1 = 1
LCM(221,734) = ( 221 × 734 ) / 1
LCM(221,734) = 162214 / 1
LCM(221,734) = 162214
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FAQs on GCF of Fractions of 5830/221, 2805/734
1. What is the HCF of 5830,2805?
The HCF of 5830,2805 is 55
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 5830/221, 2805/734?
Answer: GCF of Numerators as per given numbers 5830/221, 2805/734 is
GCF of Numerators i.e. for 5830,2805 is 55
LCM of denominators i.e. for 221,734 is 162214.
Thus, GCF of Fractions is 55/162214.Finally, GCF of Fractions for 5830/221, 2805/734 is 55/162214.