GCF of 5651/459, 1364/273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5651/459, 1364/273 i.e 1/41769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5651/459, 1364/273.
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 5651/459,1364/273?
Given fractions are 5651/459,1364/273
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 5651/459,1364/273, numerators are 5651,1364
Denominators are 459,273
The GCF of 5651,1364 is 1 .
LCM of 459,273 is 41769.
The greatest common factor of 5651/459,1364/273 = [GCF of 5651,1364]/[LCM of 459,273]= 1/41769
Therefore, the GCF of 5651/459,1364/273 is 1/41769.
To find the highest common factor of 5651,1364, we have to find the factors of both numbers and list the highest common factor.
The factors of 5651 are 1, 5651
The factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364
The HCF of 5651,1364 is 1.
Lets's calculate GCF of 5651,1364
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5651,1364 By Matching Biggest Common Factor Method
Now, list down the factors of 5651
:1,5651
Now, list down the factors of 1364
:1,2,4,11,22,31,44,62,124,341,682,1364
Greatest Common Factor
We found the factors 5651,1364 . The biggest common factor number is the GCF number.
So the greatest common factor 5651,1364 is 1.
Lets's calculate LCM of 459,273
| 3 | 459, 273 |
| 153, 91 |
∴ So the LCM of the given numbers is 3 x 153 x 91 = 41769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41769
Therefore, the GCF of Fractions 5651/459,1364/273 is 1/41769
Least Common Multiple of 459,273 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 459,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,273) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(459,273) x common factors =3 x 1 = 3
LCM(459,273) = ( 459 × 273 ) / 3
LCM(459,273) = 125307 / 3
LCM(459,273) = 41769
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FAQs on GCF of Fractions of 5651/459, 1364/273
1. What is the HCF of 5651,1364?
The HCF of 5651,1364 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 5651/459, 1364/273?
Answer: GCF of Numerators as per given numbers 5651/459, 1364/273 is
GCF of Numerators i.e. for 5651,1364 is 1
LCM of denominators i.e. for 459,273 is 41769.
Thus, GCF of Fractions is 1/41769.Finally, GCF of Fractions for 5651/459, 1364/273 is 1/41769.