GCF of 490/431, 1698/9435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 490/431, 1698/9435 i.e 2/4066485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 490/431, 1698/9435.
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 490/431,1698/9435?
Given fractions are 490/431,1698/9435
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 490/431,1698/9435, numerators are 490,1698
Denominators are 431,9435
The GCF of 490,1698 is 2 .
LCM of 431,9435 is 4066485.
The greatest common factor of 490/431,1698/9435 = [GCF of 490,1698]/[LCM of 431,9435]= 2/4066485
Therefore, the GCF of 490/431,1698/9435 is 2/4066485.
To find the highest common factor of 490,1698, 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 1698 are 1, 2, 3, 6, 283, 566, 849, 1698
The HCF of 490,1698 is 2.
Lets's calculate GCF of 490,1698
| 2 | 490, 1698 |
| 245, 849 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 490,1698 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 1698
:1,2,3,6,283,566,849,1698
Greatest Common Factor
We found the factors 490,1698 . The biggest common factor number is the GCF number.
So the greatest common factor 490,1698 is 2.
Lets's calculate LCM of 431,9435
Given numbers has no common factors except 1. So, there LCM is their product i.e 4066485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4066485
Therefore, the GCF of Fractions 490/431,1698/9435 is 2/4066485
Least Common Multiple of 431,9435 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 431,9435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,9435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,9435) x common factors =1 x 1 = 1
LCM(431,9435) = ( 431 × 9435 ) / 1
LCM(431,9435) = 4066485 / 1
LCM(431,9435) = 4066485
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FAQs on GCF of Fractions of 490/431, 1698/9435
1. What is the HCF of 490,1698?
The HCF of 490,1698 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 490/431, 1698/9435?
Answer: GCF of Numerators as per given numbers 490/431, 1698/9435 is
GCF of Numerators i.e. for 490,1698 is 2
LCM of denominators i.e. for 431,9435 is 4066485.
Thus, GCF of Fractions is 2/4066485.Finally, GCF of Fractions for 490/431, 1698/9435 is 2/4066485.