GCF of 7589/799, 2051/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7589/799, 2051/209 i.e 1/166991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7589/799, 2051/209.
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 7589/799,2051/209?
Given fractions are 7589/799,2051/209
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 7589/799,2051/209, numerators are 7589,2051
Denominators are 799,209
The GCF of 7589,2051 is 1 .
LCM of 799,209 is 166991.
The greatest common factor of 7589/799,2051/209 = [GCF of 7589,2051]/[LCM of 799,209]= 1/166991
Therefore, the GCF of 7589/799,2051/209 is 1/166991.
To find the highest common factor of 7589,2051, we have to find the factors of both numbers and list the highest common factor.
The factors of 7589 are 1, 7589
The factors of 2051 are 1, 7, 293, 2051
The HCF of 7589,2051 is 1.
Lets's calculate GCF of 7589,2051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7589,2051 By Matching Biggest Common Factor Method
Now, list down the factors of 7589
:1,7589
Now, list down the factors of 2051
:1,7,293,2051
Greatest Common Factor
We found the factors 7589,2051 . The biggest common factor number is the GCF number.
So the greatest common factor 7589,2051 is 1.
Lets's calculate LCM of 799,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 166991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166991
Therefore, the GCF of Fractions 7589/799,2051/209 is 1/166991
Least Common Multiple of 799,209 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 799,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,209) x common factors =1 x 1 = 1
LCM(799,209) = ( 799 × 209 ) / 1
LCM(799,209) = 166991 / 1
LCM(799,209) = 166991
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FAQs on GCF of Fractions of 7589/799, 2051/209
1. What is the HCF of 7589,2051?
The HCF of 7589,2051 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 7589/799, 2051/209?
Answer: GCF of Numerators as per given numbers 7589/799, 2051/209 is
GCF of Numerators i.e. for 7589,2051 is 1
LCM of denominators i.e. for 799,209 is 166991.
Thus, GCF of Fractions is 1/166991.Finally, GCF of Fractions for 7589/799, 2051/209 is 1/166991.