GCF of 1803/611, 6470/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1803/611, 6470/111 i.e 1/67821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1803/611, 6470/111.
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 1803/611,6470/111?
Given fractions are 1803/611,6470/111
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 1803/611,6470/111, numerators are 1803,6470
Denominators are 611,111
The GCF of 1803,6470 is 1 .
LCM of 611,111 is 67821.
The greatest common factor of 1803/611,6470/111 = [GCF of 1803,6470]/[LCM of 611,111]= 1/67821
Therefore, the GCF of 1803/611,6470/111 is 1/67821.
To find the highest common factor of 1803,6470, 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 6470 are 1, 2, 5, 10, 647, 1294, 3235, 6470
The HCF of 1803,6470 is 1.
Lets's calculate GCF of 1803,6470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1803,6470 By Matching Biggest Common Factor Method
Now, list down the factors of 1803
:1,3,601,1803
Now, list down the factors of 6470
:1,2,5,10,647,1294,3235,6470
Greatest Common Factor
We found the factors 1803,6470 . The biggest common factor number is the GCF number.
So the greatest common factor 1803,6470 is 1.
Lets's calculate LCM of 611,111
Given numbers has no common factors except 1. So, there LCM is their product i.e 67821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67821
Therefore, the GCF of Fractions 1803/611,6470/111 is 1/67821
Least Common Multiple of 611,111 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 611,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,111) x common factors =1 x 1 = 1
LCM(611,111) = ( 611 × 111 ) / 1
LCM(611,111) = 67821 / 1
LCM(611,111) = 67821
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FAQs on GCF of Fractions of 1803/611, 6470/111
1. What is the HCF of 1803,6470?
The HCF of 1803,6470 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 1803/611, 6470/111?
Answer: GCF of Numerators as per given numbers 1803/611, 6470/111 is
GCF of Numerators i.e. for 1803,6470 is 1
LCM of denominators i.e. for 611,111 is 67821.
Thus, GCF of Fractions is 1/67821.Finally, GCF of Fractions for 1803/611, 6470/111 is 1/67821.