GCF of 2869/284, 6801/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2869/284, 6801/209 i.e 1/59356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2869/284, 6801/209.
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 2869/284,6801/209?
Given fractions are 2869/284,6801/209
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 2869/284,6801/209, numerators are 2869,6801
Denominators are 284,209
The GCF of 2869,6801 is 1 .
LCM of 284,209 is 59356.
The greatest common factor of 2869/284,6801/209 = [GCF of 2869,6801]/[LCM of 284,209]= 1/59356
Therefore, the GCF of 2869/284,6801/209 is 1/59356.
To find the highest common factor of 2869,6801, we have to find the factors of both numbers and list the highest common factor.
The factors of 2869 are 1, 19, 151, 2869
The factors of 6801 are 1, 3, 2267, 6801
The HCF of 2869,6801 is 1.
Lets's calculate GCF of 2869,6801
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2869,6801 By Matching Biggest Common Factor Method
Now, list down the factors of 2869
:1,19,151,2869
Now, list down the factors of 6801
:1,3,2267,6801
Greatest Common Factor
We found the factors 2869,6801 . The biggest common factor number is the GCF number.
So the greatest common factor 2869,6801 is 1.
Lets's calculate LCM of 284,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 59356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59356
Therefore, the GCF of Fractions 2869/284,6801/209 is 1/59356
Least Common Multiple of 284,209 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 284,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,209) x common factors =1 x 1 = 1
LCM(284,209) = ( 284 × 209 ) / 1
LCM(284,209) = 59356 / 1
LCM(284,209) = 59356
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FAQs on GCF of Fractions of 2869/284, 6801/209
1. What is the HCF of 2869,6801?
The HCF of 2869,6801 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 2869/284, 6801/209?
Answer: GCF of Numerators as per given numbers 2869/284, 6801/209 is
GCF of Numerators i.e. for 2869,6801 is 1
LCM of denominators i.e. for 284,209 is 59356.
Thus, GCF of Fractions is 1/59356.Finally, GCF of Fractions for 2869/284, 6801/209 is 1/59356.