GCF of 6818/572, 2949/2547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6818/572, 2949/2547 i.e 1/1456884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6818/572, 2949/2547.
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 6818/572,2949/2547?
Given fractions are 6818/572,2949/2547
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 6818/572,2949/2547, numerators are 6818,2949
Denominators are 572,2547
The GCF of 6818,2949 is 1 .
LCM of 572,2547 is 1456884.
The greatest common factor of 6818/572,2949/2547 = [GCF of 6818,2949]/[LCM of 572,2547]= 1/1456884
Therefore, the GCF of 6818/572,2949/2547 is 1/1456884.
To find the highest common factor of 6818,2949, we have to find the factors of both numbers and list the highest common factor.
The factors of 6818 are 1, 2, 7, 14, 487, 974, 3409, 6818
The factors of 2949 are 1, 3, 983, 2949
The HCF of 6818,2949 is 1.
Lets's calculate GCF of 6818,2949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6818,2949 By Matching Biggest Common Factor Method
Now, list down the factors of 6818
:1,2,7,14,487,974,3409,6818
Now, list down the factors of 2949
:1,3,983,2949
Greatest Common Factor
We found the factors 6818,2949 . The biggest common factor number is the GCF number.
So the greatest common factor 6818,2949 is 1.
Lets's calculate LCM of 572,2547
Given numbers has no common factors except 1. So, there LCM is their product i.e 1456884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1456884
Therefore, the GCF of Fractions 6818/572,2949/2547 is 1/1456884
Least Common Multiple of 572,2547 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 572,2547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,2547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(572,2547) x common factors =1 x 1 = 1
LCM(572,2547) = ( 572 × 2547 ) / 1
LCM(572,2547) = 1456884 / 1
LCM(572,2547) = 1456884
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FAQs on GCF of Fractions of 6818/572, 2949/2547
1. What is the HCF of 6818,2949?
The HCF of 6818,2949 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 6818/572, 2949/2547?
Answer: GCF of Numerators as per given numbers 6818/572, 2949/2547 is
GCF of Numerators i.e. for 6818,2949 is 1
LCM of denominators i.e. for 572,2547 is 1456884.
Thus, GCF of Fractions is 1/1456884.Finally, GCF of Fractions for 6818/572, 2949/2547 is 1/1456884.