GCF of 5674/599, 8913/2095
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5674/599, 8913/2095 i.e 1/1254905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5674/599, 8913/2095.
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 5674/599,8913/2095?
Given fractions are 5674/599,8913/2095
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 5674/599,8913/2095, numerators are 5674,8913
Denominators are 599,2095
The GCF of 5674,8913 is 1 .
LCM of 599,2095 is 1254905.
The greatest common factor of 5674/599,8913/2095 = [GCF of 5674,8913]/[LCM of 599,2095]= 1/1254905
Therefore, the GCF of 5674/599,8913/2095 is 1/1254905.
To find the highest common factor of 5674,8913, we have to find the factors of both numbers and list the highest common factor.
The factors of 5674 are 1, 2, 2837, 5674
The factors of 8913 are 1, 3, 2971, 8913
The HCF of 5674,8913 is 1.
Lets's calculate GCF of 5674,8913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5674,8913 By Matching Biggest Common Factor Method
Now, list down the factors of 5674
:1,2,2837,5674
Now, list down the factors of 8913
:1,3,2971,8913
Greatest Common Factor
We found the factors 5674,8913 . The biggest common factor number is the GCF number.
So the greatest common factor 5674,8913 is 1.
Lets's calculate LCM of 599,2095
Given numbers has no common factors except 1. So, there LCM is their product i.e 1254905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1254905
Therefore, the GCF of Fractions 5674/599,8913/2095 is 1/1254905
Least Common Multiple of 599,2095 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 599,2095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,2095) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,2095) x common factors =1 x 1 = 1
LCM(599,2095) = ( 599 × 2095 ) / 1
LCM(599,2095) = 1254905 / 1
LCM(599,2095) = 1254905
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FAQs on GCF of Fractions of 5674/599, 8913/2095
1. What is the HCF of 5674,8913?
The HCF of 5674,8913 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 5674/599, 8913/2095?
Answer: GCF of Numerators as per given numbers 5674/599, 8913/2095 is
GCF of Numerators i.e. for 5674,8913 is 1
LCM of denominators i.e. for 599,2095 is 1254905.
Thus, GCF of Fractions is 1/1254905.Finally, GCF of Fractions for 5674/599, 8913/2095 is 1/1254905.