GCF of 490/22, 663/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 490/22, 663/106 i.e 1/1166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 490/22, 663/106.
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 490/22,663/106?
Given fractions are 490/22,663/106
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 490/22,663/106, numerators are 490,663
Denominators are 22,106
The GCF of 490,663 is 1 .
LCM of 22,106 is 1166.
The greatest common factor of 490/22,663/106 = [GCF of 490,663]/[LCM of 22,106]= 1/1166
Therefore, the GCF of 490/22,663/106 is 1/1166.
To find the highest common factor of 490,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 490,663 is 1.
Lets's calculate GCF of 490,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 490,663 By Matching Biggest Common Factor Method
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 490,663 . The biggest common factor number is the GCF number.
So the greatest common factor 490,663 is 1.
Lets's calculate LCM of 22,106
| 2 | 22, 106 |
| 11, 53 |
∴ So the LCM of the given numbers is 2 x 11 x 53 = 1166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1166
Therefore, the GCF of Fractions 490/22,663/106 is 1/1166
Least Common Multiple of 22,106 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 22,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,106) x common factors =2 x 1 = 2
LCM(22,106) = ( 22 × 106 ) / 2
LCM(22,106) = 2332 / 2
LCM(22,106) = 1166
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FAQs on GCF of Fractions of 490/22, 663/106
1. What is the HCF of 490,663?
The HCF of 490,663 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 490/22, 663/106?
Answer: GCF of Numerators as per given numbers 490/22, 663/106 is
GCF of Numerators i.e. for 490,663 is 1
LCM of denominators i.e. for 22,106 is 1166.
Thus, GCF of Fractions is 1/1166.Finally, GCF of Fractions for 490/22, 663/106 is 1/1166.