GCF of 5253/139, 9595/8386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5253/139, 9595/8386 i.e 1/1165654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5253/139, 9595/8386.
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 5253/139,9595/8386?
Given fractions are 5253/139,9595/8386
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 5253/139,9595/8386, numerators are 5253,9595
Denominators are 139,8386
The GCF of 5253,9595 is 1 .
LCM of 139,8386 is 1165654.
The greatest common factor of 5253/139,9595/8386 = [GCF of 5253,9595]/[LCM of 139,8386]= 1/1165654
Therefore, the GCF of 5253/139,9595/8386 is 1/1165654.
To find the highest common factor of 5253,9595, we have to find the factors of both numbers and list the highest common factor.
The factors of 5253 are 1, 3, 17, 51, 103, 309, 1751, 5253
The factors of 9595 are 1, 5, 19, 95, 101, 505, 1919, 9595
The HCF of 5253,9595 is 1.
Lets's calculate GCF of 5253,9595
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5253,9595 By Matching Biggest Common Factor Method
Now, list down the factors of 5253
:1,3,17,51,103,309,1751,5253
Now, list down the factors of 9595
:1,5,19,95,101,505,1919,9595
Greatest Common Factor
We found the factors 5253,9595 . The biggest common factor number is the GCF number.
So the greatest common factor 5253,9595 is 1.
Lets's calculate LCM of 139,8386
Given numbers has no common factors except 1. So, there LCM is their product i.e 1165654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1165654
Therefore, the GCF of Fractions 5253/139,9595/8386 is 1/1165654
Least Common Multiple of 139,8386 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 139,8386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,8386) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,8386) x common factors =1 x 1 = 1
LCM(139,8386) = ( 139 × 8386 ) / 1
LCM(139,8386) = 1165654 / 1
LCM(139,8386) = 1165654
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FAQs on GCF of Fractions of 5253/139, 9595/8386
1. What is the HCF of 5253,9595?
The HCF of 5253,9595 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 5253/139, 9595/8386?
Answer: GCF of Numerators as per given numbers 5253/139, 9595/8386 is
GCF of Numerators i.e. for 5253,9595 is 1
LCM of denominators i.e. for 139,8386 is 1165654.
Thus, GCF of Fractions is 1/1165654.Finally, GCF of Fractions for 5253/139, 9595/8386 is 1/1165654.