GCF of 2269/497, 5152/3812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2269/497, 5152/3812 i.e 1/1894564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2269/497, 5152/3812.
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 2269/497,5152/3812?
Given fractions are 2269/497,5152/3812
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 2269/497,5152/3812, numerators are 2269,5152
Denominators are 497,3812
The GCF of 2269,5152 is 1 .
LCM of 497,3812 is 1894564.
The greatest common factor of 2269/497,5152/3812 = [GCF of 2269,5152]/[LCM of 497,3812]= 1/1894564
Therefore, the GCF of 2269/497,5152/3812 is 1/1894564.
To find the highest common factor of 2269,5152, we have to find the factors of both numbers and list the highest common factor.
The factors of 2269 are 1, 2269
The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
The HCF of 2269,5152 is 1.
Lets's calculate GCF of 2269,5152
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2269,5152 By Matching Biggest Common Factor Method
Now, list down the factors of 2269
:1,2269
Now, list down the factors of 5152
:1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Greatest Common Factor
We found the factors 2269,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 2269,5152 is 1.
Lets's calculate LCM of 497,3812
Given numbers has no common factors except 1. So, there LCM is their product i.e 1894564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1894564
Therefore, the GCF of Fractions 2269/497,5152/3812 is 1/1894564
Least Common Multiple of 497,3812 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 497,3812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,3812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,3812) x common factors =1 x 1 = 1
LCM(497,3812) = ( 497 × 3812 ) / 1
LCM(497,3812) = 1894564 / 1
LCM(497,3812) = 1894564
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FAQs on GCF of Fractions of 2269/497, 5152/3812
1. What is the HCF of 2269,5152?
The HCF of 2269,5152 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 2269/497, 5152/3812?
Answer: GCF of Numerators as per given numbers 2269/497, 5152/3812 is
GCF of Numerators i.e. for 2269,5152 is 1
LCM of denominators i.e. for 497,3812 is 1894564.
Thus, GCF of Fractions is 1/1894564.Finally, GCF of Fractions for 2269/497, 5152/3812 is 1/1894564.