GCF of 5490/255, 4489/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5490/255, 4489/782 i.e 1/11730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5490/255, 4489/782.
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 5490/255,4489/782?
Given fractions are 5490/255,4489/782
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 5490/255,4489/782, numerators are 5490,4489
Denominators are 255,782
The GCF of 5490,4489 is 1 .
LCM of 255,782 is 11730.
The greatest common factor of 5490/255,4489/782 = [GCF of 5490,4489]/[LCM of 255,782]= 1/11730
Therefore, the GCF of 5490/255,4489/782 is 1/11730.
To find the highest common factor of 5490,4489, we have to find the factors of both numbers and list the highest common factor.
The factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490
The factors of 4489 are 1, 67, 4489
The HCF of 5490,4489 is 1.
Lets's calculate GCF of 5490,4489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5490,4489 By Matching Biggest Common Factor Method
Now, list down the factors of 5490
:1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490
Now, list down the factors of 4489
:1,67,4489
Greatest Common Factor
We found the factors 5490,4489 . The biggest common factor number is the GCF number.
So the greatest common factor 5490,4489 is 1.
Lets's calculate LCM of 255,782
| 17 | 255, 782 |
| 15, 46 |
∴ So the LCM of the given numbers is 17 x 15 x 46 = 11730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11730
Therefore, the GCF of Fractions 5490/255,4489/782 is 1/11730
Least Common Multiple of 255,782 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 255,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,782) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(255,782) x common factors =17 x 1 = 17
LCM(255,782) = ( 255 × 782 ) / 17
LCM(255,782) = 199410 / 17
LCM(255,782) = 11730
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FAQs on GCF of Fractions of 5490/255, 4489/782
1. What is the HCF of 5490,4489?
The HCF of 5490,4489 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 5490/255, 4489/782?
Answer: GCF of Numerators as per given numbers 5490/255, 4489/782 is
GCF of Numerators i.e. for 5490,4489 is 1
LCM of denominators i.e. for 255,782 is 11730.
Thus, GCF of Fractions is 1/11730.Finally, GCF of Fractions for 5490/255, 4489/782 is 1/11730.