GCF of 1903/997, 5685/6806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1903/997, 5685/6806 i.e 1/6785582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1903/997, 5685/6806.
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 1903/997,5685/6806?
Given fractions are 1903/997,5685/6806
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 1903/997,5685/6806, numerators are 1903,5685
Denominators are 997,6806
The GCF of 1903,5685 is 1 .
LCM of 997,6806 is 6785582.
The greatest common factor of 1903/997,5685/6806 = [GCF of 1903,5685]/[LCM of 997,6806]= 1/6785582
Therefore, the GCF of 1903/997,5685/6806 is 1/6785582.
To find the highest common factor of 1903,5685, we have to find the factors of both numbers and list the highest common factor.
The factors of 1903 are 1, 11, 173, 1903
The factors of 5685 are 1, 3, 5, 15, 379, 1137, 1895, 5685
The HCF of 1903,5685 is 1.
Lets's calculate GCF of 1903,5685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1903,5685 By Matching Biggest Common Factor Method
Now, list down the factors of 1903
:1,11,173,1903
Now, list down the factors of 5685
:1,3,5,15,379,1137,1895,5685
Greatest Common Factor
We found the factors 1903,5685 . The biggest common factor number is the GCF number.
So the greatest common factor 1903,5685 is 1.
Lets's calculate LCM of 997,6806
Given numbers has no common factors except 1. So, there LCM is their product i.e 6785582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6785582
Therefore, the GCF of Fractions 1903/997,5685/6806 is 1/6785582
Least Common Multiple of 997,6806 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 997,6806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,6806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,6806) x common factors =1 x 1 = 1
LCM(997,6806) = ( 997 × 6806 ) / 1
LCM(997,6806) = 6785582 / 1
LCM(997,6806) = 6785582
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FAQs on GCF of Fractions of 1903/997, 5685/6806
1. What is the HCF of 1903,5685?
The HCF of 1903,5685 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 1903/997, 5685/6806?
Answer: GCF of Numerators as per given numbers 1903/997, 5685/6806 is
GCF of Numerators i.e. for 1903,5685 is 1
LCM of denominators i.e. for 997,6806 is 6785582.
Thus, GCF of Fractions is 1/6785582.Finally, GCF of Fractions for 1903/997, 5685/6806 is 1/6785582.