GCF of 5549/174, 1463/8777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5549/174, 1463/8777 i.e 1/1527198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5549/174, 1463/8777.
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 5549/174,1463/8777?
Given fractions are 5549/174,1463/8777
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 5549/174,1463/8777, numerators are 5549,1463
Denominators are 174,8777
The GCF of 5549,1463 is 1 .
LCM of 174,8777 is 1527198.
The greatest common factor of 5549/174,1463/8777 = [GCF of 5549,1463]/[LCM of 174,8777]= 1/1527198
Therefore, the GCF of 5549/174,1463/8777 is 1/1527198.
To find the highest common factor of 5549,1463, we have to find the factors of both numbers and list the highest common factor.
The factors of 5549 are 1, 31, 179, 5549
The factors of 1463 are 1, 7, 11, 19, 77, 133, 209, 1463
The HCF of 5549,1463 is 1.
Lets's calculate GCF of 5549,1463
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5549,1463 By Matching Biggest Common Factor Method
Now, list down the factors of 5549
:1,31,179,5549
Now, list down the factors of 1463
:1,7,11,19,77,133,209,1463
Greatest Common Factor
We found the factors 5549,1463 . The biggest common factor number is the GCF number.
So the greatest common factor 5549,1463 is 1.
Lets's calculate LCM of 174,8777
Given numbers has no common factors except 1. So, there LCM is their product i.e 1527198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1527198
Therefore, the GCF of Fractions 5549/174,1463/8777 is 1/1527198
Least Common Multiple of 174,8777 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 174,8777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,8777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(174,8777) x common factors =1 x 1 = 1
LCM(174,8777) = ( 174 × 8777 ) / 1
LCM(174,8777) = 1527198 / 1
LCM(174,8777) = 1527198
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FAQs on GCF of Fractions of 5549/174, 1463/8777
1. What is the HCF of 5549,1463?
The HCF of 5549,1463 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 5549/174, 1463/8777?
Answer: GCF of Numerators as per given numbers 5549/174, 1463/8777 is
GCF of Numerators i.e. for 5549,1463 is 1
LCM of denominators i.e. for 174,8777 is 1527198.
Thus, GCF of Fractions is 1/1527198.Finally, GCF of Fractions for 5549/174, 1463/8777 is 1/1527198.