GCF of 2591/705, 5024/5009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2591/705, 5024/5009 i.e 1/3531345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2591/705, 5024/5009.
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 2591/705,5024/5009?
Given fractions are 2591/705,5024/5009
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 2591/705,5024/5009, numerators are 2591,5024
Denominators are 705,5009
The GCF of 2591,5024 is 1 .
LCM of 705,5009 is 3531345.
The greatest common factor of 2591/705,5024/5009 = [GCF of 2591,5024]/[LCM of 705,5009]= 1/3531345
Therefore, the GCF of 2591/705,5024/5009 is 1/3531345.
To find the highest common factor of 2591,5024, we have to find the factors of both numbers and list the highest common factor.
The factors of 2591 are 1, 2591
The factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024
The HCF of 2591,5024 is 1.
Lets's calculate GCF of 2591,5024
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2591,5024 By Matching Biggest Common Factor Method
Now, list down the factors of 2591
:1,2591
Now, list down the factors of 5024
:1,2,4,8,16,32,157,314,628,1256,2512,5024
Greatest Common Factor
We found the factors 2591,5024 . The biggest common factor number is the GCF number.
So the greatest common factor 2591,5024 is 1.
Lets's calculate LCM of 705,5009
Given numbers has no common factors except 1. So, there LCM is their product i.e 3531345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3531345
Therefore, the GCF of Fractions 2591/705,5024/5009 is 1/3531345
Least Common Multiple of 705,5009 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 705,5009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,5009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,5009) x common factors =1 x 1 = 1
LCM(705,5009) = ( 705 × 5009 ) / 1
LCM(705,5009) = 3531345 / 1
LCM(705,5009) = 3531345
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FAQs on GCF of Fractions of 2591/705, 5024/5009
1. What is the HCF of 2591,5024?
The HCF of 2591,5024 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 2591/705, 5024/5009?
Answer: GCF of Numerators as per given numbers 2591/705, 5024/5009 is
GCF of Numerators i.e. for 2591,5024 is 1
LCM of denominators i.e. for 705,5009 is 3531345.
Thus, GCF of Fractions is 1/3531345.Finally, GCF of Fractions for 2591/705, 5024/5009 is 1/3531345.