GCF of 5893/302, 5096/8027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5893/302, 5096/8027 i.e 1/2424154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5893/302, 5096/8027.
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 5893/302,5096/8027?
Given fractions are 5893/302,5096/8027
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 5893/302,5096/8027, numerators are 5893,5096
Denominators are 302,8027
The GCF of 5893,5096 is 1 .
LCM of 302,8027 is 2424154.
The greatest common factor of 5893/302,5096/8027 = [GCF of 5893,5096]/[LCM of 302,8027]= 1/2424154
Therefore, the GCF of 5893/302,5096/8027 is 1/2424154.
To find the highest common factor of 5893,5096, we have to find the factors of both numbers and list the highest common factor.
The factors of 5893 are 1, 71, 83, 5893
The factors of 5096 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096
The HCF of 5893,5096 is 1.
Lets's calculate GCF of 5893,5096
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5893,5096 By Matching Biggest Common Factor Method
Now, list down the factors of 5893
:1,71,83,5893
Now, list down the factors of 5096
:1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096
Greatest Common Factor
We found the factors 5893,5096 . The biggest common factor number is the GCF number.
So the greatest common factor 5893,5096 is 1.
Lets's calculate LCM of 302,8027
Given numbers has no common factors except 1. So, there LCM is their product i.e 2424154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2424154
Therefore, the GCF of Fractions 5893/302,5096/8027 is 1/2424154
Least Common Multiple of 302,8027 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 302,8027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,8027) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,8027) x common factors =1 x 1 = 1
LCM(302,8027) = ( 302 × 8027 ) / 1
LCM(302,8027) = 2424154 / 1
LCM(302,8027) = 2424154
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FAQs on GCF of Fractions of 5893/302, 5096/8027
1. What is the HCF of 5893,5096?
The HCF of 5893,5096 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 5893/302, 5096/8027?
Answer: GCF of Numerators as per given numbers 5893/302, 5096/8027 is
GCF of Numerators i.e. for 5893,5096 is 1
LCM of denominators i.e. for 302,8027 is 2424154.
Thus, GCF of Fractions is 1/2424154.Finally, GCF of Fractions for 5893/302, 5096/8027 is 1/2424154.