GCF of 3406/848, 1963/466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3406/848, 1963/466 i.e 13/197584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3406/848, 1963/466.
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 3406/848,1963/466?
Given fractions are 3406/848,1963/466
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 3406/848,1963/466, numerators are 3406,1963
Denominators are 848,466
The GCF of 3406,1963 is 13 .
LCM of 848,466 is 197584.
The greatest common factor of 3406/848,1963/466 = [GCF of 3406,1963]/[LCM of 848,466]= 13/197584
Therefore, the GCF of 3406/848,1963/466 is 13/197584.
To find the highest common factor of 3406,1963, we have to find the factors of both numbers and list the highest common factor.
The factors of 3406 are 1, 2, 13, 26, 131, 262, 1703, 3406
The factors of 1963 are 1, 13, 151, 1963
The HCF of 3406,1963 is 13.
Lets's calculate GCF of 3406,1963
| 13 | 3406, 1963 |
| 262, 151 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3406,1963 By Matching Biggest Common Factor Method
Now, list down the factors of 3406
:1,2,13,26,131,262,1703,3406
Now, list down the factors of 1963
:1,13,151,1963
Greatest Common Factor
We found the factors 3406,1963 . The biggest common factor number is the GCF number.
So the greatest common factor 3406,1963 is 13.
Lets's calculate LCM of 848,466
| 2 | 848, 466 |
| 424, 233 |
∴ So the LCM of the given numbers is 2 x 424 x 233 = 197584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/197584
Therefore, the GCF of Fractions 3406/848,1963/466 is 13/197584
Least Common Multiple of 848,466 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 848,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(848,466) x common factors =2 x 1 = 2
LCM(848,466) = ( 848 × 466 ) / 2
LCM(848,466) = 395168 / 2
LCM(848,466) = 197584
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FAQs on GCF of Fractions of 3406/848, 1963/466
1. What is the HCF of 3406,1963?
The HCF of 3406,1963 is 13
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 3406/848, 1963/466?
Answer: GCF of Numerators as per given numbers 3406/848, 1963/466 is
GCF of Numerators i.e. for 3406,1963 is 13
LCM of denominators i.e. for 848,466 is 197584.
Thus, GCF of Fractions is 13/197584.Finally, GCF of Fractions for 3406/848, 1963/466 is 13/197584.