GCF of 2378/590, 1603/6844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2378/590, 1603/6844 i.e 1/34220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2378/590, 1603/6844.
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 2378/590,1603/6844?
Given fractions are 2378/590,1603/6844
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 2378/590,1603/6844, numerators are 2378,1603
Denominators are 590,6844
The GCF of 2378,1603 is 1 .
LCM of 590,6844 is 34220.
The greatest common factor of 2378/590,1603/6844 = [GCF of 2378,1603]/[LCM of 590,6844]= 1/34220
Therefore, the GCF of 2378/590,1603/6844 is 1/34220.
To find the highest common factor of 2378,1603, we have to find the factors of both numbers and list the highest common factor.
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The factors of 1603 are 1, 7, 229, 1603
The HCF of 2378,1603 is 1.
Lets's calculate GCF of 2378,1603
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2378,1603 By Matching Biggest Common Factor Method
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Now, list down the factors of 1603
:1,7,229,1603
Greatest Common Factor
We found the factors 2378,1603 . The biggest common factor number is the GCF number.
So the greatest common factor 2378,1603 is 1.
Lets's calculate LCM of 590,6844
| 2 | 590, 6844 |
| 59 | 295, 3422 |
| 5, 58 |
∴ So the LCM of the given numbers is 2 x 59 x 5 x 58 = 34220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34220
Therefore, the GCF of Fractions 2378/590,1603/6844 is 1/34220
Least Common Multiple of 590,6844 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 590,6844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,6844) = 118
common factors(in case of two or more numbers have common factors) = 1
GCF(590,6844) x common factors =118 x 1 = 118
LCM(590,6844) = ( 590 × 6844 ) / 118
LCM(590,6844) = 4037960 / 118
LCM(590,6844) = 34220
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FAQs on GCF of Fractions of 2378/590, 1603/6844
1. What is the HCF of 2378,1603?
The HCF of 2378,1603 is 1
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 2378/590, 1603/6844?
Answer: GCF of Numerators as per given numbers 2378/590, 1603/6844 is
GCF of Numerators i.e. for 2378,1603 is 1
LCM of denominators i.e. for 590,6844 is 34220.
Thus, GCF of Fractions is 1/34220.Finally, GCF of Fractions for 2378/590, 1603/6844 is 1/34220.