GCF of 2773/131, 6668/9343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2773/131, 6668/9343 i.e 1/1223933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2773/131, 6668/9343.
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 2773/131,6668/9343?
Given fractions are 2773/131,6668/9343
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 2773/131,6668/9343, numerators are 2773,6668
Denominators are 131,9343
The GCF of 2773,6668 is 1 .
LCM of 131,9343 is 1223933.
The greatest common factor of 2773/131,6668/9343 = [GCF of 2773,6668]/[LCM of 131,9343]= 1/1223933
Therefore, the GCF of 2773/131,6668/9343 is 1/1223933.
To find the highest common factor of 2773,6668, we have to find the factors of both numbers and list the highest common factor.
The factors of 2773 are 1, 47, 59, 2773
The factors of 6668 are 1, 2, 4, 1667, 3334, 6668
The HCF of 2773,6668 is 1.
Lets's calculate GCF of 2773,6668
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2773,6668 By Matching Biggest Common Factor Method
Now, list down the factors of 2773
:1,47,59,2773
Now, list down the factors of 6668
:1,2,4,1667,3334,6668
Greatest Common Factor
We found the factors 2773,6668 . The biggest common factor number is the GCF number.
So the greatest common factor 2773,6668 is 1.
Lets's calculate LCM of 131,9343
Given numbers has no common factors except 1. So, there LCM is their product i.e 1223933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1223933
Therefore, the GCF of Fractions 2773/131,6668/9343 is 1/1223933
Least Common Multiple of 131,9343 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 131,9343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,9343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,9343) x common factors =1 x 1 = 1
LCM(131,9343) = ( 131 × 9343 ) / 1
LCM(131,9343) = 1223933 / 1
LCM(131,9343) = 1223933
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FAQs on GCF of Fractions of 2773/131, 6668/9343
1. What is the HCF of 2773,6668?
The HCF of 2773,6668 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 2773/131, 6668/9343?
Answer: GCF of Numerators as per given numbers 2773/131, 6668/9343 is
GCF of Numerators i.e. for 2773,6668 is 1
LCM of denominators i.e. for 131,9343 is 1223933.
Thus, GCF of Fractions is 1/1223933.Finally, GCF of Fractions for 2773/131, 6668/9343 is 1/1223933.