GCF of 4903/769, 2526/843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4903/769, 2526/843 i.e 1/648267 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4903/769, 2526/843.
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 4903/769,2526/843?
Given fractions are 4903/769,2526/843
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 4903/769,2526/843, numerators are 4903,2526
Denominators are 769,843
The GCF of 4903,2526 is 1 .
LCM of 769,843 is 648267.
The greatest common factor of 4903/769,2526/843 = [GCF of 4903,2526]/[LCM of 769,843]= 1/648267
Therefore, the GCF of 4903/769,2526/843 is 1/648267.
To find the highest common factor of 4903,2526, we have to find the factors of both numbers and list the highest common factor.
The factors of 4903 are 1, 4903
The factors of 2526 are 1, 2, 3, 6, 421, 842, 1263, 2526
The HCF of 4903,2526 is 1.
Lets's calculate GCF of 4903,2526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4903,2526 By Matching Biggest Common Factor Method
Now, list down the factors of 4903
:1,4903
Now, list down the factors of 2526
:1,2,3,6,421,842,1263,2526
Greatest Common Factor
We found the factors 4903,2526 . The biggest common factor number is the GCF number.
So the greatest common factor 4903,2526 is 1.
Lets's calculate LCM of 769,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 648267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648267
Therefore, the GCF of Fractions 4903/769,2526/843 is 1/648267
Least Common Multiple of 769,843 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 769,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,843) x common factors =1 x 1 = 1
LCM(769,843) = ( 769 × 843 ) / 1
LCM(769,843) = 648267 / 1
LCM(769,843) = 648267
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FAQs on GCF of Fractions of 4903/769, 2526/843
1. What is the HCF of 4903,2526?
The HCF of 4903,2526 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 4903/769, 2526/843?
Answer: GCF of Numerators as per given numbers 4903/769, 2526/843 is
GCF of Numerators i.e. for 4903,2526 is 1
LCM of denominators i.e. for 769,843 is 648267.
Thus, GCF of Fractions is 1/648267.Finally, GCF of Fractions for 4903/769, 2526/843 is 1/648267.