GCF of 832/490, 966/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 832/490, 966/509 i.e 2/249410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/490, 966/509.
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 832/490,966/509?
Given fractions are 832/490,966/509
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 832/490,966/509, numerators are 832,966
Denominators are 490,509
The GCF of 832,966 is 2 .
LCM of 490,509 is 249410.
The greatest common factor of 832/490,966/509 = [GCF of 832,966]/[LCM of 490,509]= 2/249410
Therefore, the GCF of 832/490,966/509 is 2/249410.
To find the highest common factor of 832,966, we have to find the factors of both numbers and list the highest common factor.
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
The HCF of 832,966 is 2.
Lets's calculate GCF of 832,966
| 2 | 832, 966 |
| 416, 483 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 832,966 By Matching Biggest Common Factor Method
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Now, list down the factors of 966
:1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 832,966 . The biggest common factor number is the GCF number.
So the greatest common factor 832,966 is 2.
Lets's calculate LCM of 490,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 249410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/249410
Therefore, the GCF of Fractions 832/490,966/509 is 2/249410
Least Common Multiple of 490,509 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 490,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(490,509) x common factors =1 x 1 = 1
LCM(490,509) = ( 490 × 509 ) / 1
LCM(490,509) = 249410 / 1
LCM(490,509) = 249410
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FAQs on GCF of Fractions of 832/490, 966/509
1. What is the HCF of 832,966?
The HCF of 832,966 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 832/490, 966/509?
Answer: GCF of Numerators as per given numbers 832/490, 966/509 is
GCF of Numerators i.e. for 832,966 is 2
LCM of denominators i.e. for 490,509 is 249410.
Thus, GCF of Fractions is 2/249410.Finally, GCF of Fractions for 832/490, 966/509 is 2/249410.