GCF of 7551/515, 7426/999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7551/515, 7426/999 i.e 1/514485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7551/515, 7426/999.
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 7551/515,7426/999?
Given fractions are 7551/515,7426/999
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 7551/515,7426/999, numerators are 7551,7426
Denominators are 515,999
The GCF of 7551,7426 is 1 .
LCM of 515,999 is 514485.
The greatest common factor of 7551/515,7426/999 = [GCF of 7551,7426]/[LCM of 515,999]= 1/514485
Therefore, the GCF of 7551/515,7426/999 is 1/514485.
To find the highest common factor of 7551,7426, 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 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426
The HCF of 7551,7426 is 1.
Lets's calculate GCF of 7551,7426
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7551,7426 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 7426
:1,2,47,79,94,158,3713,7426
Greatest Common Factor
We found the factors 7551,7426 . The biggest common factor number is the GCF number.
So the greatest common factor 7551,7426 is 1.
Lets's calculate LCM of 515,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 514485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/514485
Therefore, the GCF of Fractions 7551/515,7426/999 is 1/514485
Least Common Multiple of 515,999 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 515,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,999) x common factors =1 x 1 = 1
LCM(515,999) = ( 515 × 999 ) / 1
LCM(515,999) = 514485 / 1
LCM(515,999) = 514485
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FAQs on GCF of Fractions of 7551/515, 7426/999
1. What is the HCF of 7551,7426?
The HCF of 7551,7426 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 7551/515, 7426/999?
Answer: GCF of Numerators as per given numbers 7551/515, 7426/999 is
GCF of Numerators i.e. for 7551,7426 is 1
LCM of denominators i.e. for 515,999 is 514485.
Thus, GCF of Fractions is 1/514485.Finally, GCF of Fractions for 7551/515, 7426/999 is 1/514485.