GCF of 7551/743, 2764/5459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7551/743, 2764/5459 i.e 1/4056037 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7551/743, 2764/5459.
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 7551/743,2764/5459?
Given fractions are 7551/743,2764/5459
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 7551/743,2764/5459, numerators are 7551,2764
Denominators are 743,5459
The GCF of 7551,2764 is 1 .
LCM of 743,5459 is 4056037.
The greatest common factor of 7551/743,2764/5459 = [GCF of 7551,2764]/[LCM of 743,5459]= 1/4056037
Therefore, the GCF of 7551/743,2764/5459 is 1/4056037.
To find the highest common factor of 7551,2764, we have to find the factors of both numbers and list the highest common factor.
The factors of 7551 are 1, 3, 9, 839, 2517, 7551
The factors of 2764 are 1, 2, 4, 691, 1382, 2764
The HCF of 7551,2764 is 1.
Lets's calculate GCF of 7551,2764
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7551,2764 By Matching Biggest Common Factor Method
Now, list down the factors of 7551
:1,3,9,839,2517,7551
Now, list down the factors of 2764
:1,2,4,691,1382,2764
Greatest Common Factor
We found the factors 7551,2764 . The biggest common factor number is the GCF number.
So the greatest common factor 7551,2764 is 1.
Lets's calculate LCM of 743,5459
Given numbers has no common factors except 1. So, there LCM is their product i.e 4056037
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4056037
Therefore, the GCF of Fractions 7551/743,2764/5459 is 1/4056037
Least Common Multiple of 743,5459 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 743,5459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,5459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,5459) x common factors =1 x 1 = 1
LCM(743,5459) = ( 743 × 5459 ) / 1
LCM(743,5459) = 4056037 / 1
LCM(743,5459) = 4056037
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FAQs on GCF of Fractions of 7551/743, 2764/5459
1. What is the HCF of 7551,2764?
The HCF of 7551,2764 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 7551/743, 2764/5459?
Answer: GCF of Numerators as per given numbers 7551/743, 2764/5459 is
GCF of Numerators i.e. for 7551,2764 is 1
LCM of denominators i.e. for 743,5459 is 4056037.
Thus, GCF of Fractions is 1/4056037.Finally, GCF of Fractions for 7551/743, 2764/5459 is 1/4056037.