GCF of 2689/575, 2029/4637
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2689/575, 2029/4637 i.e 1/2666275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2689/575, 2029/4637.
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 2689/575,2029/4637?
Given fractions are 2689/575,2029/4637
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 2689/575,2029/4637, numerators are 2689,2029
Denominators are 575,4637
The GCF of 2689,2029 is 1 .
LCM of 575,4637 is 2666275.
The greatest common factor of 2689/575,2029/4637 = [GCF of 2689,2029]/[LCM of 575,4637]= 1/2666275
Therefore, the GCF of 2689/575,2029/4637 is 1/2666275.
To find the highest common factor of 2689,2029, we have to find the factors of both numbers and list the highest common factor.
The factors of 2689 are 1, 2689
The factors of 2029 are 1, 2029
The HCF of 2689,2029 is 1.
Lets's calculate GCF of 2689,2029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2689,2029 By Matching Biggest Common Factor Method
Now, list down the factors of 2689
:1,2689
Now, list down the factors of 2029
:1,2029
Greatest Common Factor
We found the factors 2689,2029 . The biggest common factor number is the GCF number.
So the greatest common factor 2689,2029 is 1.
Lets's calculate LCM of 575,4637
Given numbers has no common factors except 1. So, there LCM is their product i.e 2666275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2666275
Therefore, the GCF of Fractions 2689/575,2029/4637 is 1/2666275
Least Common Multiple of 575,4637 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 575,4637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,4637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,4637) x common factors =1 x 1 = 1
LCM(575,4637) = ( 575 × 4637 ) / 1
LCM(575,4637) = 2666275 / 1
LCM(575,4637) = 2666275
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FAQs on GCF of Fractions of 2689/575, 2029/4637
1. What is the HCF of 2689,2029?
The HCF of 2689,2029 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 2689/575, 2029/4637?
Answer: GCF of Numerators as per given numbers 2689/575, 2029/4637 is
GCF of Numerators i.e. for 2689,2029 is 1
LCM of denominators i.e. for 575,4637 is 2666275.
Thus, GCF of Fractions is 1/2666275.Finally, GCF of Fractions for 2689/575, 2029/4637 is 1/2666275.