GCF of 2999/563, 3056/7013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2999/563, 3056/7013 i.e 1/3948319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2999/563, 3056/7013.
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 2999/563,3056/7013?
Given fractions are 2999/563,3056/7013
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 2999/563,3056/7013, numerators are 2999,3056
Denominators are 563,7013
The GCF of 2999,3056 is 1 .
LCM of 563,7013 is 3948319.
The greatest common factor of 2999/563,3056/7013 = [GCF of 2999,3056]/[LCM of 563,7013]= 1/3948319
Therefore, the GCF of 2999/563,3056/7013 is 1/3948319.
To find the highest common factor of 2999,3056, we have to find the factors of both numbers and list the highest common factor.
The factors of 2999 are 1, 2999
The factors of 3056 are 1, 2, 4, 8, 16, 191, 382, 764, 1528, 3056
The HCF of 2999,3056 is 1.
Lets's calculate GCF of 2999,3056
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2999,3056 By Matching Biggest Common Factor Method
Now, list down the factors of 2999
:1,2999
Now, list down the factors of 3056
:1,2,4,8,16,191,382,764,1528,3056
Greatest Common Factor
We found the factors 2999,3056 . The biggest common factor number is the GCF number.
So the greatest common factor 2999,3056 is 1.
Lets's calculate LCM of 563,7013
Given numbers has no common factors except 1. So, there LCM is their product i.e 3948319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3948319
Therefore, the GCF of Fractions 2999/563,3056/7013 is 1/3948319
Least Common Multiple of 563,7013 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 563,7013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,7013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,7013) x common factors =1 x 1 = 1
LCM(563,7013) = ( 563 × 7013 ) / 1
LCM(563,7013) = 3948319 / 1
LCM(563,7013) = 3948319
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FAQs on GCF of Fractions of 2999/563, 3056/7013
1. What is the HCF of 2999,3056?
The HCF of 2999,3056 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 2999/563, 3056/7013?
Answer: GCF of Numerators as per given numbers 2999/563, 3056/7013 is
GCF of Numerators i.e. for 2999,3056 is 1
LCM of denominators i.e. for 563,7013 is 3948319.
Thus, GCF of Fractions is 1/3948319.Finally, GCF of Fractions for 2999/563, 3056/7013 is 1/3948319.