GCF of 3419/703, 1404/458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3419/703, 1404/458 i.e 13/321974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3419/703, 1404/458.
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 3419/703,1404/458?
Given fractions are 3419/703,1404/458
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 3419/703,1404/458, numerators are 3419,1404
Denominators are 703,458
The GCF of 3419,1404 is 13 .
LCM of 703,458 is 321974.
The greatest common factor of 3419/703,1404/458 = [GCF of 3419,1404]/[LCM of 703,458]= 13/321974
Therefore, the GCF of 3419/703,1404/458 is 13/321974.
To find the highest common factor of 3419,1404, we have to find the factors of both numbers and list the highest common factor.
The factors of 3419 are 1, 13, 263, 3419
The factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404
The HCF of 3419,1404 is 13.
Lets's calculate GCF of 3419,1404
| 13 | 3419, 1404 |
| 263, 108 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3419,1404 By Matching Biggest Common Factor Method
Now, list down the factors of 3419
:1,13,263,3419
Now, list down the factors of 1404
:1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404
Greatest Common Factor
We found the factors 3419,1404 . The biggest common factor number is the GCF number.
So the greatest common factor 3419,1404 is 13.
Lets's calculate LCM of 703,458
Given numbers has no common factors except 1. So, there LCM is their product i.e 321974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/321974
Therefore, the GCF of Fractions 3419/703,1404/458 is 13/321974
Least Common Multiple of 703,458 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 703,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,458) x common factors =1 x 1 = 1
LCM(703,458) = ( 703 × 458 ) / 1
LCM(703,458) = 321974 / 1
LCM(703,458) = 321974
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FAQs on GCF of Fractions of 3419/703, 1404/458
1. What is the HCF of 3419,1404?
The HCF of 3419,1404 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 3419/703, 1404/458?
Answer: GCF of Numerators as per given numbers 3419/703, 1404/458 is
GCF of Numerators i.e. for 3419,1404 is 13
LCM of denominators i.e. for 703,458 is 321974.
Thus, GCF of Fractions is 13/321974.Finally, GCF of Fractions for 3419/703, 1404/458 is 13/321974.