GCF of 5401/106, 2184/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5401/106, 2184/505 i.e 1/53530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5401/106, 2184/505.
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 5401/106,2184/505?
Given fractions are 5401/106,2184/505
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 5401/106,2184/505, numerators are 5401,2184
Denominators are 106,505
The GCF of 5401,2184 is 1 .
LCM of 106,505 is 53530.
The greatest common factor of 5401/106,2184/505 = [GCF of 5401,2184]/[LCM of 106,505]= 1/53530
Therefore, the GCF of 5401/106,2184/505 is 1/53530.
To find the highest common factor of 5401,2184, we have to find the factors of both numbers and list the highest common factor.
The factors of 5401 are 1, 11, 491, 5401
The factors of 2184 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 273, 312, 364, 546, 728, 1092, 2184
The HCF of 5401,2184 is 1.
Lets's calculate GCF of 5401,2184
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5401,2184 By Matching Biggest Common Factor Method
Now, list down the factors of 5401
:1,11,491,5401
Now, list down the factors of 2184
:1,2,3,4,6,7,8,12,13,14,21,24,26,28,39,42,52,56,78,84,91,104,156,168,182,273,312,364,546,728,1092,2184
Greatest Common Factor
We found the factors 5401,2184 . The biggest common factor number is the GCF number.
So the greatest common factor 5401,2184 is 1.
Lets's calculate LCM of 106,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 53530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53530
Therefore, the GCF of Fractions 5401/106,2184/505 is 1/53530
Least Common Multiple of 106,505 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 106,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,505) x common factors =1 x 1 = 1
LCM(106,505) = ( 106 × 505 ) / 1
LCM(106,505) = 53530 / 1
LCM(106,505) = 53530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5401/106, 2184/505
1. What is the HCF of 5401,2184?
The HCF of 5401,2184 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 5401/106, 2184/505?
Answer: GCF of Numerators as per given numbers 5401/106, 2184/505 is
GCF of Numerators i.e. for 5401,2184 is 1
LCM of denominators i.e. for 106,505 is 53530.
Thus, GCF of Fractions is 1/53530.Finally, GCF of Fractions for 5401/106, 2184/505 is 1/53530.