GCF of 8119/909, 6724/2803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8119/909, 6724/2803 i.e 1/2547927 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8119/909, 6724/2803.
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 8119/909,6724/2803?
Given fractions are 8119/909,6724/2803
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 8119/909,6724/2803, numerators are 8119,6724
Denominators are 909,2803
The GCF of 8119,6724 is 1 .
LCM of 909,2803 is 2547927.
The greatest common factor of 8119/909,6724/2803 = [GCF of 8119,6724]/[LCM of 909,2803]= 1/2547927
Therefore, the GCF of 8119/909,6724/2803 is 1/2547927.
To find the highest common factor of 8119,6724, we have to find the factors of both numbers and list the highest common factor.
The factors of 8119 are 1, 23, 353, 8119
The factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724
The HCF of 8119,6724 is 1.
Lets's calculate GCF of 8119,6724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8119,6724 By Matching Biggest Common Factor Method
Now, list down the factors of 8119
:1,23,353,8119
Now, list down the factors of 6724
:1,2,4,41,82,164,1681,3362,6724
Greatest Common Factor
We found the factors 8119,6724 . The biggest common factor number is the GCF number.
So the greatest common factor 8119,6724 is 1.
Lets's calculate LCM of 909,2803
Given numbers has no common factors except 1. So, there LCM is their product i.e 2547927
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2547927
Therefore, the GCF of Fractions 8119/909,6724/2803 is 1/2547927
Least Common Multiple of 909,2803 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 909,2803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,2803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,2803) x common factors =1 x 1 = 1
LCM(909,2803) = ( 909 × 2803 ) / 1
LCM(909,2803) = 2547927 / 1
LCM(909,2803) = 2547927
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FAQs on GCF of Fractions of 8119/909, 6724/2803
1. What is the HCF of 8119,6724?
The HCF of 8119,6724 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 8119/909, 6724/2803?
Answer: GCF of Numerators as per given numbers 8119/909, 6724/2803 is
GCF of Numerators i.e. for 8119,6724 is 1
LCM of denominators i.e. for 909,2803 is 2547927.
Thus, GCF of Fractions is 1/2547927.Finally, GCF of Fractions for 8119/909, 6724/2803 is 1/2547927.