GCF of 1342/683, 1618/1849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1342/683, 1618/1849 i.e 2/1262867 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1342/683, 1618/1849.
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 1342/683,1618/1849?
Given fractions are 1342/683,1618/1849
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 1342/683,1618/1849, numerators are 1342,1618
Denominators are 683,1849
The GCF of 1342,1618 is 2 .
LCM of 683,1849 is 1262867.
The greatest common factor of 1342/683,1618/1849 = [GCF of 1342,1618]/[LCM of 683,1849]= 2/1262867
Therefore, the GCF of 1342/683,1618/1849 is 2/1262867.
To find the highest common factor of 1342,1618, we have to find the factors of both numbers and list the highest common factor.
The factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342
The factors of 1618 are 1, 2, 809, 1618
The HCF of 1342,1618 is 2.
Lets's calculate GCF of 1342,1618
| 2 | 1342, 1618 |
| 671, 809 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1342,1618 By Matching Biggest Common Factor Method
Now, list down the factors of 1342
:1,2,11,22,61,122,671,1342
Now, list down the factors of 1618
:1,2,809,1618
Greatest Common Factor
We found the factors 1342,1618 . The biggest common factor number is the GCF number.
So the greatest common factor 1342,1618 is 2.
Lets's calculate LCM of 683,1849
Given numbers has no common factors except 1. So, there LCM is their product i.e 1262867
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1262867
Therefore, the GCF of Fractions 1342/683,1618/1849 is 2/1262867
Least Common Multiple of 683,1849 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 683,1849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,1849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,1849) x common factors =1 x 1 = 1
LCM(683,1849) = ( 683 × 1849 ) / 1
LCM(683,1849) = 1262867 / 1
LCM(683,1849) = 1262867
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FAQs on GCF of Fractions of 1342/683, 1618/1849
1. What is the HCF of 1342,1618?
The HCF of 1342,1618 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 1342/683, 1618/1849?
Answer: GCF of Numerators as per given numbers 1342/683, 1618/1849 is
GCF of Numerators i.e. for 1342,1618 is 2
LCM of denominators i.e. for 683,1849 is 1262867.
Thus, GCF of Fractions is 2/1262867.Finally, GCF of Fractions for 1342/683, 1618/1849 is 2/1262867.