GCF of 3026/629, 4445/3455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3026/629, 4445/3455 i.e 1/2173195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3026/629, 4445/3455.
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 3026/629,4445/3455?
Given fractions are 3026/629,4445/3455
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 3026/629,4445/3455, numerators are 3026,4445
Denominators are 629,3455
The GCF of 3026,4445 is 1 .
LCM of 629,3455 is 2173195.
The greatest common factor of 3026/629,4445/3455 = [GCF of 3026,4445]/[LCM of 629,3455]= 1/2173195
Therefore, the GCF of 3026/629,4445/3455 is 1/2173195.
To find the highest common factor of 3026,4445, we have to find the factors of both numbers and list the highest common factor.
The factors of 3026 are 1, 2, 17, 34, 89, 178, 1513, 3026
The factors of 4445 are 1, 5, 7, 35, 127, 635, 889, 4445
The HCF of 3026,4445 is 1.
Lets's calculate GCF of 3026,4445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3026,4445 By Matching Biggest Common Factor Method
Now, list down the factors of 3026
:1,2,17,34,89,178,1513,3026
Now, list down the factors of 4445
:1,5,7,35,127,635,889,4445
Greatest Common Factor
We found the factors 3026,4445 . The biggest common factor number is the GCF number.
So the greatest common factor 3026,4445 is 1.
Lets's calculate LCM of 629,3455
Given numbers has no common factors except 1. So, there LCM is their product i.e 2173195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2173195
Therefore, the GCF of Fractions 3026/629,4445/3455 is 1/2173195
Least Common Multiple of 629,3455 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 629,3455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,3455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,3455) x common factors =1 x 1 = 1
LCM(629,3455) = ( 629 × 3455 ) / 1
LCM(629,3455) = 2173195 / 1
LCM(629,3455) = 2173195
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FAQs on GCF of Fractions of 3026/629, 4445/3455
1. What is the HCF of 3026,4445?
The HCF of 3026,4445 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 3026/629, 4445/3455?
Answer: GCF of Numerators as per given numbers 3026/629, 4445/3455 is
GCF of Numerators i.e. for 3026,4445 is 1
LCM of denominators i.e. for 629,3455 is 2173195.
Thus, GCF of Fractions is 1/2173195.Finally, GCF of Fractions for 3026/629, 4445/3455 is 1/2173195.