GCF of 1624/505, 2186/132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1624/505, 2186/132 i.e 2/66660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1624/505, 2186/132.
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 1624/505,2186/132?
Given fractions are 1624/505,2186/132
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 1624/505,2186/132, numerators are 1624,2186
Denominators are 505,132
The GCF of 1624,2186 is 2 .
LCM of 505,132 is 66660.
The greatest common factor of 1624/505,2186/132 = [GCF of 1624,2186]/[LCM of 505,132]= 2/66660
Therefore, the GCF of 1624/505,2186/132 is 2/66660.
To find the highest common factor of 1624,2186, we have to find the factors of both numbers and list the highest common factor.
The factors of 1624 are 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624
The factors of 2186 are 1, 2, 1093, 2186
The HCF of 1624,2186 is 2.
Lets's calculate GCF of 1624,2186
| 2 | 1624, 2186 |
| 812, 1093 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1624,2186 By Matching Biggest Common Factor Method
Now, list down the factors of 1624
:1,2,4,7,8,14,28,29,56,58,116,203,232,406,812,1624
Now, list down the factors of 2186
:1,2,1093,2186
Greatest Common Factor
We found the factors 1624,2186 . The biggest common factor number is the GCF number.
So the greatest common factor 1624,2186 is 2.
Lets's calculate LCM of 505,132
Given numbers has no common factors except 1. So, there LCM is their product i.e 66660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66660
Therefore, the GCF of Fractions 1624/505,2186/132 is 2/66660
Least Common Multiple of 505,132 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 505,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,132) x common factors =1 x 1 = 1
LCM(505,132) = ( 505 × 132 ) / 1
LCM(505,132) = 66660 / 1
LCM(505,132) = 66660
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FAQs on GCF of Fractions of 1624/505, 2186/132
1. What is the HCF of 1624,2186?
The HCF of 1624,2186 is 2
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 1624/505, 2186/132?
Answer: GCF of Numerators as per given numbers 1624/505, 2186/132 is
GCF of Numerators i.e. for 1624,2186 is 2
LCM of denominators i.e. for 505,132 is 66660.
Thus, GCF of Fractions is 2/66660.Finally, GCF of Fractions for 1624/505, 2186/132 is 2/66660.