GCF of 2507/151, 2799/6717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2507/151, 2799/6717 i.e 1/1014267 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2507/151, 2799/6717.
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 2507/151,2799/6717?
Given fractions are 2507/151,2799/6717
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 2507/151,2799/6717, numerators are 2507,2799
Denominators are 151,6717
The GCF of 2507,2799 is 1 .
LCM of 151,6717 is 1014267.
The greatest common factor of 2507/151,2799/6717 = [GCF of 2507,2799]/[LCM of 151,6717]= 1/1014267
Therefore, the GCF of 2507/151,2799/6717 is 1/1014267.
To find the highest common factor of 2507,2799, we have to find the factors of both numbers and list the highest common factor.
The factors of 2507 are 1, 23, 109, 2507
The factors of 2799 are 1, 3, 9, 311, 933, 2799
The HCF of 2507,2799 is 1.
Lets's calculate GCF of 2507,2799
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2507,2799 By Matching Biggest Common Factor Method
Now, list down the factors of 2507
:1,23,109,2507
Now, list down the factors of 2799
:1,3,9,311,933,2799
Greatest Common Factor
We found the factors 2507,2799 . The biggest common factor number is the GCF number.
So the greatest common factor 2507,2799 is 1.
Lets's calculate LCM of 151,6717
Given numbers has no common factors except 1. So, there LCM is their product i.e 1014267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1014267
Therefore, the GCF of Fractions 2507/151,2799/6717 is 1/1014267
Least Common Multiple of 151,6717 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 151,6717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,6717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,6717) x common factors =1 x 1 = 1
LCM(151,6717) = ( 151 × 6717 ) / 1
LCM(151,6717) = 1014267 / 1
LCM(151,6717) = 1014267
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FAQs on GCF of Fractions of 2507/151, 2799/6717
1. What is the HCF of 2507,2799?
The HCF of 2507,2799 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 2507/151, 2799/6717?
Answer: GCF of Numerators as per given numbers 2507/151, 2799/6717 is
GCF of Numerators i.e. for 2507,2799 is 1
LCM of denominators i.e. for 151,6717 is 1014267.
Thus, GCF of Fractions is 1/1014267.Finally, GCF of Fractions for 2507/151, 2799/6717 is 1/1014267.