GCF of 6873/509, 5026/5611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6873/509, 5026/5611 i.e 1/2855999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6873/509, 5026/5611.
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 6873/509,5026/5611?
Given fractions are 6873/509,5026/5611
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 6873/509,5026/5611, numerators are 6873,5026
Denominators are 509,5611
The GCF of 6873,5026 is 1 .
LCM of 509,5611 is 2855999.
The greatest common factor of 6873/509,5026/5611 = [GCF of 6873,5026]/[LCM of 509,5611]= 1/2855999
Therefore, the GCF of 6873/509,5026/5611 is 1/2855999.
To find the highest common factor of 6873,5026, we have to find the factors of both numbers and list the highest common factor.
The factors of 6873 are 1, 3, 29, 79, 87, 237, 2291, 6873
The factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026
The HCF of 6873,5026 is 1.
Lets's calculate GCF of 6873,5026
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6873,5026 By Matching Biggest Common Factor Method
Now, list down the factors of 6873
:1,3,29,79,87,237,2291,6873
Now, list down the factors of 5026
:1,2,7,14,359,718,2513,5026
Greatest Common Factor
We found the factors 6873,5026 . The biggest common factor number is the GCF number.
So the greatest common factor 6873,5026 is 1.
Lets's calculate LCM of 509,5611
Given numbers has no common factors except 1. So, there LCM is their product i.e 2855999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2855999
Therefore, the GCF of Fractions 6873/509,5026/5611 is 1/2855999
Least Common Multiple of 509,5611 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 509,5611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,5611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,5611) x common factors =1 x 1 = 1
LCM(509,5611) = ( 509 × 5611 ) / 1
LCM(509,5611) = 2855999 / 1
LCM(509,5611) = 2855999
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6873/509, 5026/5611
1. What is the HCF of 6873,5026?
The HCF of 6873,5026 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 6873/509, 5026/5611?
Answer: GCF of Numerators as per given numbers 6873/509, 5026/5611 is
GCF of Numerators i.e. for 6873,5026 is 1
LCM of denominators i.e. for 509,5611 is 2855999.
Thus, GCF of Fractions is 1/2855999.Finally, GCF of Fractions for 6873/509, 5026/5611 is 1/2855999.