GCF of 4466/590, 1116/1090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4466/590, 1116/1090 i.e 2/64310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4466/590, 1116/1090.
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 4466/590,1116/1090?
Given fractions are 4466/590,1116/1090
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 4466/590,1116/1090, numerators are 4466,1116
Denominators are 590,1090
The GCF of 4466,1116 is 2 .
LCM of 590,1090 is 64310.
The greatest common factor of 4466/590,1116/1090 = [GCF of 4466,1116]/[LCM of 590,1090]= 2/64310
Therefore, the GCF of 4466/590,1116/1090 is 2/64310.
To find the highest common factor of 4466,1116, we have to find the factors of both numbers and list the highest common factor.
The factors of 4466 are 1, 2, 7, 11, 14, 22, 29, 58, 77, 154, 203, 319, 406, 638, 2233, 4466
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116
The HCF of 4466,1116 is 2.
Lets's calculate GCF of 4466,1116
| 2 | 4466, 1116 |
| 2233, 558 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4466,1116 By Matching Biggest Common Factor Method
Now, list down the factors of 4466
:1,2,7,11,14,22,29,58,77,154,203,319,406,638,2233,4466
Now, list down the factors of 1116
:1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116
Greatest Common Factor
We found the factors 4466,1116 . The biggest common factor number is the GCF number.
So the greatest common factor 4466,1116 is 2.
Lets's calculate LCM of 590,1090
| 2 | 590, 1090 |
| 5 | 295, 545 |
| 59, 109 |
∴ So the LCM of the given numbers is 2 x 5 x 59 x 109 = 64310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64310
Therefore, the GCF of Fractions 4466/590,1116/1090 is 2/64310
Least Common Multiple of 590,1090 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 590,1090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,1090) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(590,1090) x common factors =10 x 1 = 10
LCM(590,1090) = ( 590 × 1090 ) / 10
LCM(590,1090) = 643100 / 10
LCM(590,1090) = 64310
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FAQs on GCF of Fractions of 4466/590, 1116/1090
1. What is the HCF of 4466,1116?
The HCF of 4466,1116 is 2
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 4466/590, 1116/1090?
Answer: GCF of Numerators as per given numbers 4466/590, 1116/1090 is
GCF of Numerators i.e. for 4466,1116 is 2
LCM of denominators i.e. for 590,1090 is 64310.
Thus, GCF of Fractions is 2/64310.Finally, GCF of Fractions for 4466/590, 1116/1090 is 2/64310.