GCF of 4870/517, 9499/2591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4870/517, 9499/2591 i.e 1/1339547 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4870/517, 9499/2591.
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 4870/517,9499/2591?
Given fractions are 4870/517,9499/2591
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 4870/517,9499/2591, numerators are 4870,9499
Denominators are 517,2591
The GCF of 4870,9499 is 1 .
LCM of 517,2591 is 1339547.
The greatest common factor of 4870/517,9499/2591 = [GCF of 4870,9499]/[LCM of 517,2591]= 1/1339547
Therefore, the GCF of 4870/517,9499/2591 is 1/1339547.
To find the highest common factor of 4870,9499, we have to find the factors of both numbers and list the highest common factor.
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The factors of 9499 are 1, 7, 23, 59, 161, 413, 1357, 9499
The HCF of 4870,9499 is 1.
Lets's calculate GCF of 4870,9499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4870,9499 By Matching Biggest Common Factor Method
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Now, list down the factors of 9499
:1,7,23,59,161,413,1357,9499
Greatest Common Factor
We found the factors 4870,9499 . The biggest common factor number is the GCF number.
So the greatest common factor 4870,9499 is 1.
Lets's calculate LCM of 517,2591
Given numbers has no common factors except 1. So, there LCM is their product i.e 1339547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1339547
Therefore, the GCF of Fractions 4870/517,9499/2591 is 1/1339547
Least Common Multiple of 517,2591 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 517,2591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,2591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,2591) x common factors =1 x 1 = 1
LCM(517,2591) = ( 517 × 2591 ) / 1
LCM(517,2591) = 1339547 / 1
LCM(517,2591) = 1339547
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4870/517, 9499/2591
1. What is the HCF of 4870,9499?
The HCF of 4870,9499 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 4870/517, 9499/2591?
Answer: GCF of Numerators as per given numbers 4870/517, 9499/2591 is
GCF of Numerators i.e. for 4870,9499 is 1
LCM of denominators i.e. for 517,2591 is 1339547.
Thus, GCF of Fractions is 1/1339547.Finally, GCF of Fractions for 4870/517, 9499/2591 is 1/1339547.