GCF of 4162/824, 1924/997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4162/824, 1924/997 i.e 2/821528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4162/824, 1924/997.
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 4162/824,1924/997?
Given fractions are 4162/824,1924/997
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 4162/824,1924/997, numerators are 4162,1924
Denominators are 824,997
The GCF of 4162,1924 is 2 .
LCM of 824,997 is 821528.
The greatest common factor of 4162/824,1924/997 = [GCF of 4162,1924]/[LCM of 824,997]= 2/821528
Therefore, the GCF of 4162/824,1924/997 is 2/821528.
To find the highest common factor of 4162,1924, we have to find the factors of both numbers and list the highest common factor.
The factors of 4162 are 1, 2, 2081, 4162
The factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924
The HCF of 4162,1924 is 2.
Lets's calculate GCF of 4162,1924
| 2 | 4162, 1924 |
| 2081, 962 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4162,1924 By Matching Biggest Common Factor Method
Now, list down the factors of 4162
:1,2,2081,4162
Now, list down the factors of 1924
:1,2,4,13,26,37,52,74,148,481,962,1924
Greatest Common Factor
We found the factors 4162,1924 . The biggest common factor number is the GCF number.
So the greatest common factor 4162,1924 is 2.
Lets's calculate LCM of 824,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 821528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/821528
Therefore, the GCF of Fractions 4162/824,1924/997 is 2/821528
Least Common Multiple of 824,997 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 824,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,997) x common factors =1 x 1 = 1
LCM(824,997) = ( 824 × 997 ) / 1
LCM(824,997) = 821528 / 1
LCM(824,997) = 821528
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FAQs on GCF of Fractions of 4162/824, 1924/997
1. What is the HCF of 4162,1924?
The HCF of 4162,1924 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 4162/824, 1924/997?
Answer: GCF of Numerators as per given numbers 4162/824, 1924/997 is
GCF of Numerators i.e. for 4162,1924 is 2
LCM of denominators i.e. for 824,997 is 821528.
Thus, GCF of Fractions is 2/821528.Finally, GCF of Fractions for 4162/824, 1924/997 is 2/821528.