GCF of 2689/125, 7409/2102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2689/125, 7409/2102 i.e 1/262750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2689/125, 7409/2102.
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 2689/125,7409/2102?
Given fractions are 2689/125,7409/2102
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 2689/125,7409/2102, numerators are 2689,7409
Denominators are 125,2102
The GCF of 2689,7409 is 1 .
LCM of 125,2102 is 262750.
The greatest common factor of 2689/125,7409/2102 = [GCF of 2689,7409]/[LCM of 125,2102]= 1/262750
Therefore, the GCF of 2689/125,7409/2102 is 1/262750.
To find the highest common factor of 2689,7409, 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 7409 are 1, 31, 239, 7409
The HCF of 2689,7409 is 1.
Lets's calculate GCF of 2689,7409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2689,7409 By Matching Biggest Common Factor Method
Now, list down the factors of 2689
:1,2689
Now, list down the factors of 7409
:1,31,239,7409
Greatest Common Factor
We found the factors 2689,7409 . The biggest common factor number is the GCF number.
So the greatest common factor 2689,7409 is 1.
Lets's calculate LCM of 125,2102
Given numbers has no common factors except 1. So, there LCM is their product i.e 262750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262750
Therefore, the GCF of Fractions 2689/125,7409/2102 is 1/262750
Least Common Multiple of 125,2102 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 125,2102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,2102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,2102) x common factors =1 x 1 = 1
LCM(125,2102) = ( 125 × 2102 ) / 1
LCM(125,2102) = 262750 / 1
LCM(125,2102) = 262750
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FAQs on GCF of Fractions of 2689/125, 7409/2102
1. What is the HCF of 2689,7409?
The HCF of 2689,7409 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 2689/125, 7409/2102?
Answer: GCF of Numerators as per given numbers 2689/125, 7409/2102 is
GCF of Numerators i.e. for 2689,7409 is 1
LCM of denominators i.e. for 125,2102 is 262750.
Thus, GCF of Fractions is 1/262750.Finally, GCF of Fractions for 2689/125, 7409/2102 is 1/262750.