GCF of 1803/653, 5361/2138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1803/653, 5361/2138 i.e 3/1396114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1803/653, 5361/2138.
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 1803/653,5361/2138?
Given fractions are 1803/653,5361/2138
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 1803/653,5361/2138, numerators are 1803,5361
Denominators are 653,2138
The GCF of 1803,5361 is 3 .
LCM of 653,2138 is 1396114.
The greatest common factor of 1803/653,5361/2138 = [GCF of 1803,5361]/[LCM of 653,2138]= 3/1396114
Therefore, the GCF of 1803/653,5361/2138 is 3/1396114.
To find the highest common factor of 1803,5361, we have to find the factors of both numbers and list the highest common factor.
The factors of 1803 are 1, 3, 601, 1803
The factors of 5361 are 1, 3, 1787, 5361
The HCF of 1803,5361 is 3.
Lets's calculate GCF of 1803,5361
| 3 | 1803, 5361 |
| 601, 1787 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1803,5361 By Matching Biggest Common Factor Method
Now, list down the factors of 1803
:1,3,601,1803
Now, list down the factors of 5361
:1,3,1787,5361
Greatest Common Factor
We found the factors 1803,5361 . The biggest common factor number is the GCF number.
So the greatest common factor 1803,5361 is 3.
Lets's calculate LCM of 653,2138
Given numbers has no common factors except 1. So, there LCM is their product i.e 1396114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1396114
Therefore, the GCF of Fractions 1803/653,5361/2138 is 3/1396114
Least Common Multiple of 653,2138 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 653,2138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,2138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,2138) x common factors =1 x 1 = 1
LCM(653,2138) = ( 653 × 2138 ) / 1
LCM(653,2138) = 1396114 / 1
LCM(653,2138) = 1396114
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FAQs on GCF of Fractions of 1803/653, 5361/2138
1. What is the HCF of 1803,5361?
The HCF of 1803,5361 is 3
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 1803/653, 5361/2138?
Answer: GCF of Numerators as per given numbers 1803/653, 5361/2138 is
GCF of Numerators i.e. for 1803,5361 is 3
LCM of denominators i.e. for 653,2138 is 1396114.
Thus, GCF of Fractions is 3/1396114.Finally, GCF of Fractions for 1803/653, 5361/2138 is 3/1396114.