GCF of 5101/623, 9515/339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5101/623, 9515/339 i.e 1/211197 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5101/623, 9515/339.
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 5101/623,9515/339?
Given fractions are 5101/623,9515/339
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 5101/623,9515/339, numerators are 5101,9515
Denominators are 623,339
The GCF of 5101,9515 is 1 .
LCM of 623,339 is 211197.
The greatest common factor of 5101/623,9515/339 = [GCF of 5101,9515]/[LCM of 623,339]= 1/211197
Therefore, the GCF of 5101/623,9515/339 is 1/211197.
To find the highest common factor of 5101,9515, we have to find the factors of both numbers and list the highest common factor.
The factors of 5101 are 1, 5101
The factors of 9515 are 1, 5, 11, 55, 173, 865, 1903, 9515
The HCF of 5101,9515 is 1.
Lets's calculate GCF of 5101,9515
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5101,9515 By Matching Biggest Common Factor Method
Now, list down the factors of 5101
:1,5101
Now, list down the factors of 9515
:1,5,11,55,173,865,1903,9515
Greatest Common Factor
We found the factors 5101,9515 . The biggest common factor number is the GCF number.
So the greatest common factor 5101,9515 is 1.
Lets's calculate LCM of 623,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 211197
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211197
Therefore, the GCF of Fractions 5101/623,9515/339 is 1/211197
Least Common Multiple of 623,339 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 623,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,339) x common factors =1 x 1 = 1
LCM(623,339) = ( 623 × 339 ) / 1
LCM(623,339) = 211197 / 1
LCM(623,339) = 211197
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FAQs on GCF of Fractions of 5101/623, 9515/339
1. What is the HCF of 5101,9515?
The HCF of 5101,9515 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 5101/623, 9515/339?
Answer: GCF of Numerators as per given numbers 5101/623, 9515/339 is
GCF of Numerators i.e. for 5101,9515 is 1
LCM of denominators i.e. for 623,339 is 211197.
Thus, GCF of Fractions is 1/211197.Finally, GCF of Fractions for 5101/623, 9515/339 is 1/211197.