GCF of 3356/459, 1538/7340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3356/459, 1538/7340 i.e 2/3369060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3356/459, 1538/7340.
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 3356/459,1538/7340?
Given fractions are 3356/459,1538/7340
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 3356/459,1538/7340, numerators are 3356,1538
Denominators are 459,7340
The GCF of 3356,1538 is 2 .
LCM of 459,7340 is 3369060.
The greatest common factor of 3356/459,1538/7340 = [GCF of 3356,1538]/[LCM of 459,7340]= 2/3369060
Therefore, the GCF of 3356/459,1538/7340 is 2/3369060.
To find the highest common factor of 3356,1538, we have to find the factors of both numbers and list the highest common factor.
The factors of 3356 are 1, 2, 4, 839, 1678, 3356
The factors of 1538 are 1, 2, 769, 1538
The HCF of 3356,1538 is 2.
Lets's calculate GCF of 3356,1538
| 2 | 3356, 1538 |
| 1678, 769 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3356,1538 By Matching Biggest Common Factor Method
Now, list down the factors of 3356
:1,2,4,839,1678,3356
Now, list down the factors of 1538
:1,2,769,1538
Greatest Common Factor
We found the factors 3356,1538 . The biggest common factor number is the GCF number.
So the greatest common factor 3356,1538 is 2.
Lets's calculate LCM of 459,7340
Given numbers has no common factors except 1. So, there LCM is their product i.e 3369060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3369060
Therefore, the GCF of Fractions 3356/459,1538/7340 is 2/3369060
Least Common Multiple of 459,7340 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 459,7340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,7340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,7340) x common factors =1 x 1 = 1
LCM(459,7340) = ( 459 × 7340 ) / 1
LCM(459,7340) = 3369060 / 1
LCM(459,7340) = 3369060
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FAQs on GCF of Fractions of 3356/459, 1538/7340
1. What is the HCF of 3356,1538?
The HCF of 3356,1538 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 3356/459, 1538/7340?
Answer: GCF of Numerators as per given numbers 3356/459, 1538/7340 is
GCF of Numerators i.e. for 3356,1538 is 2
LCM of denominators i.e. for 459,7340 is 3369060.
Thus, GCF of Fractions is 2/3369060.Finally, GCF of Fractions for 3356/459, 1538/7340 is 2/3369060.