GCF of 2047/509, 2985/5673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2047/509, 2985/5673 i.e 1/2887557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2047/509, 2985/5673.
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 2047/509,2985/5673?
Given fractions are 2047/509,2985/5673
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 2047/509,2985/5673, numerators are 2047,2985
Denominators are 509,5673
The GCF of 2047,2985 is 1 .
LCM of 509,5673 is 2887557.
The greatest common factor of 2047/509,2985/5673 = [GCF of 2047,2985]/[LCM of 509,5673]= 1/2887557
Therefore, the GCF of 2047/509,2985/5673 is 1/2887557.
To find the highest common factor of 2047,2985, we have to find the factors of both numbers and list the highest common factor.
The factors of 2047 are 1, 23, 89, 2047
The factors of 2985 are 1, 3, 5, 15, 199, 597, 995, 2985
The HCF of 2047,2985 is 1.
Lets's calculate GCF of 2047,2985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2047,2985 By Matching Biggest Common Factor Method
Now, list down the factors of 2047
:1,23,89,2047
Now, list down the factors of 2985
:1,3,5,15,199,597,995,2985
Greatest Common Factor
We found the factors 2047,2985 . The biggest common factor number is the GCF number.
So the greatest common factor 2047,2985 is 1.
Lets's calculate LCM of 509,5673
Given numbers has no common factors except 1. So, there LCM is their product i.e 2887557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2887557
Therefore, the GCF of Fractions 2047/509,2985/5673 is 1/2887557
Least Common Multiple of 509,5673 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 509,5673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,5673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,5673) x common factors =1 x 1 = 1
LCM(509,5673) = ( 509 × 5673 ) / 1
LCM(509,5673) = 2887557 / 1
LCM(509,5673) = 2887557
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FAQs on GCF of Fractions of 2047/509, 2985/5673
1. What is the HCF of 2047,2985?
The HCF of 2047,2985 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 2047/509, 2985/5673?
Answer: GCF of Numerators as per given numbers 2047/509, 2985/5673 is
GCF of Numerators i.e. for 2047,2985 is 1
LCM of denominators i.e. for 509,5673 is 2887557.
Thus, GCF of Fractions is 1/2887557.Finally, GCF of Fractions for 2047/509, 2985/5673 is 1/2887557.