GCF of 4054/599, 7625/1311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4054/599, 7625/1311 i.e 1/785289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4054/599, 7625/1311.
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 4054/599,7625/1311?
Given fractions are 4054/599,7625/1311
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 4054/599,7625/1311, numerators are 4054,7625
Denominators are 599,1311
The GCF of 4054,7625 is 1 .
LCM of 599,1311 is 785289.
The greatest common factor of 4054/599,7625/1311 = [GCF of 4054,7625]/[LCM of 599,1311]= 1/785289
Therefore, the GCF of 4054/599,7625/1311 is 1/785289.
To find the highest common factor of 4054,7625, we have to find the factors of both numbers and list the highest common factor.
The factors of 4054 are 1, 2, 2027, 4054
The factors of 7625 are 1, 5, 25, 61, 125, 305, 1525, 7625
The HCF of 4054,7625 is 1.
Lets's calculate GCF of 4054,7625
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4054,7625 By Matching Biggest Common Factor Method
Now, list down the factors of 4054
:1,2,2027,4054
Now, list down the factors of 7625
:1,5,25,61,125,305,1525,7625
Greatest Common Factor
We found the factors 4054,7625 . The biggest common factor number is the GCF number.
So the greatest common factor 4054,7625 is 1.
Lets's calculate LCM of 599,1311
Given numbers has no common factors except 1. So, there LCM is their product i.e 785289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/785289
Therefore, the GCF of Fractions 4054/599,7625/1311 is 1/785289
Least Common Multiple of 599,1311 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 599,1311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,1311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,1311) x common factors =1 x 1 = 1
LCM(599,1311) = ( 599 × 1311 ) / 1
LCM(599,1311) = 785289 / 1
LCM(599,1311) = 785289
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FAQs on GCF of Fractions of 4054/599, 7625/1311
1. What is the HCF of 4054,7625?
The HCF of 4054,7625 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 4054/599, 7625/1311?
Answer: GCF of Numerators as per given numbers 4054/599, 7625/1311 is
GCF of Numerators i.e. for 4054,7625 is 1
LCM of denominators i.e. for 599,1311 is 785289.
Thus, GCF of Fractions is 1/785289.Finally, GCF of Fractions for 4054/599, 7625/1311 is 1/785289.