GCF of 5455/769, 3409/7523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5455/769, 3409/7523 i.e 1/5785187 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5455/769, 3409/7523.
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 5455/769,3409/7523?
Given fractions are 5455/769,3409/7523
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 5455/769,3409/7523, numerators are 5455,3409
Denominators are 769,7523
The GCF of 5455,3409 is 1 .
LCM of 769,7523 is 5785187.
The greatest common factor of 5455/769,3409/7523 = [GCF of 5455,3409]/[LCM of 769,7523]= 1/5785187
Therefore, the GCF of 5455/769,3409/7523 is 1/5785187.
To find the highest common factor of 5455,3409, we have to find the factors of both numbers and list the highest common factor.
The factors of 5455 are 1, 5, 1091, 5455
The factors of 3409 are 1, 7, 487, 3409
The HCF of 5455,3409 is 1.
Lets's calculate GCF of 5455,3409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5455,3409 By Matching Biggest Common Factor Method
Now, list down the factors of 5455
:1,5,1091,5455
Now, list down the factors of 3409
:1,7,487,3409
Greatest Common Factor
We found the factors 5455,3409 . The biggest common factor number is the GCF number.
So the greatest common factor 5455,3409 is 1.
Lets's calculate LCM of 769,7523
Given numbers has no common factors except 1. So, there LCM is their product i.e 5785187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5785187
Therefore, the GCF of Fractions 5455/769,3409/7523 is 1/5785187
Least Common Multiple of 769,7523 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 769,7523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,7523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,7523) x common factors =1 x 1 = 1
LCM(769,7523) = ( 769 × 7523 ) / 1
LCM(769,7523) = 5785187 / 1
LCM(769,7523) = 5785187
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FAQs on GCF of Fractions of 5455/769, 3409/7523
1. What is the HCF of 5455,3409?
The HCF of 5455,3409 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 5455/769, 3409/7523?
Answer: GCF of Numerators as per given numbers 5455/769, 3409/7523 is
GCF of Numerators i.e. for 5455,3409 is 1
LCM of denominators i.e. for 769,7523 is 5785187.
Thus, GCF of Fractions is 1/5785187.Finally, GCF of Fractions for 5455/769, 3409/7523 is 1/5785187.