GCF of 923/487, 7168/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 923/487, 7168/419 i.e 1/204053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/487, 7168/419.
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 923/487,7168/419?
Given fractions are 923/487,7168/419
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 923/487,7168/419, numerators are 923,7168
Denominators are 487,419
The GCF of 923,7168 is 1 .
LCM of 487,419 is 204053.
The greatest common factor of 923/487,7168/419 = [GCF of 923,7168]/[LCM of 487,419]= 1/204053
Therefore, the GCF of 923/487,7168/419 is 1/204053.
To find the highest common factor of 923,7168, we have to find the factors of both numbers and list the highest common factor.
The factors of 923 are 1, 13, 71, 923
The factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168
The HCF of 923,7168 is 1.
Lets's calculate GCF of 923,7168
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 923,7168 By Matching Biggest Common Factor Method
Now, list down the factors of 923
:1,13,71,923
Now, list down the factors of 7168
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Greatest Common Factor
We found the factors 923,7168 . The biggest common factor number is the GCF number.
So the greatest common factor 923,7168 is 1.
Lets's calculate LCM of 487,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 204053
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204053
Therefore, the GCF of Fractions 923/487,7168/419 is 1/204053
Least Common Multiple of 487,419 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 487,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,419) x common factors =1 x 1 = 1
LCM(487,419) = ( 487 × 419 ) / 1
LCM(487,419) = 204053 / 1
LCM(487,419) = 204053
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FAQs on GCF of Fractions of 923/487, 7168/419
1. What is the HCF of 923,7168?
The HCF of 923,7168 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 923/487, 7168/419?
Answer: GCF of Numerators as per given numbers 923/487, 7168/419 is
GCF of Numerators i.e. for 923,7168 is 1
LCM of denominators i.e. for 487,419 is 204053.
Thus, GCF of Fractions is 1/204053.Finally, GCF of Fractions for 923/487, 7168/419 is 1/204053.