GCF of 2090/635, 2569/784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2090/635, 2569/784 i.e 1/497840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2090/635, 2569/784.
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 2090/635,2569/784?
Given fractions are 2090/635,2569/784
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 2090/635,2569/784, numerators are 2090,2569
Denominators are 635,784
The GCF of 2090,2569 is 1 .
LCM of 635,784 is 497840.
The greatest common factor of 2090/635,2569/784 = [GCF of 2090,2569]/[LCM of 635,784]= 1/497840
Therefore, the GCF of 2090/635,2569/784 is 1/497840.
To find the highest common factor of 2090,2569, we have to find the factors of both numbers and list the highest common factor.
The factors of 2090 are 1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090
The factors of 2569 are 1, 7, 367, 2569
The HCF of 2090,2569 is 1.
Lets's calculate GCF of 2090,2569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2090,2569 By Matching Biggest Common Factor Method
Now, list down the factors of 2090
:1,2,5,10,11,19,22,38,55,95,110,190,209,418,1045,2090
Now, list down the factors of 2569
:1,7,367,2569
Greatest Common Factor
We found the factors 2090,2569 . The biggest common factor number is the GCF number.
So the greatest common factor 2090,2569 is 1.
Lets's calculate LCM of 635,784
Given numbers has no common factors except 1. So, there LCM is their product i.e 497840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497840
Therefore, the GCF of Fractions 2090/635,2569/784 is 1/497840
Least Common Multiple of 635,784 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 635,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,784) x common factors =1 x 1 = 1
LCM(635,784) = ( 635 × 784 ) / 1
LCM(635,784) = 497840 / 1
LCM(635,784) = 497840
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FAQs on GCF of Fractions of 2090/635, 2569/784
1. What is the HCF of 2090,2569?
The HCF of 2090,2569 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 2090/635, 2569/784?
Answer: GCF of Numerators as per given numbers 2090/635, 2569/784 is
GCF of Numerators i.e. for 2090,2569 is 1
LCM of denominators i.e. for 635,784 is 497840.
Thus, GCF of Fractions is 1/497840.Finally, GCF of Fractions for 2090/635, 2569/784 is 1/497840.