GCF of 4098/463, 1656/827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4098/463, 1656/827 i.e 6/382901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4098/463, 1656/827.
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 4098/463,1656/827?
Given fractions are 4098/463,1656/827
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 4098/463,1656/827, numerators are 4098,1656
Denominators are 463,827
The GCF of 4098,1656 is 6 .
LCM of 463,827 is 382901.
The greatest common factor of 4098/463,1656/827 = [GCF of 4098,1656]/[LCM of 463,827]= 6/382901
Therefore, the GCF of 4098/463,1656/827 is 6/382901.
To find the highest common factor of 4098,1656, we have to find the factors of both numbers and list the highest common factor.
The factors of 4098 are 1, 2, 3, 6, 683, 1366, 2049, 4098
The factors of 1656 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656
The HCF of 4098,1656 is 6.
Lets's calculate GCF of 4098,1656
| 2 | 4098, 1656 |
| 3 | 2049, 828 |
| 683, 276 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4098,1656 By Matching Biggest Common Factor Method
Now, list down the factors of 4098
:1,2,3,6,683,1366,2049,4098
Now, list down the factors of 1656
:1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656
Greatest Common Factor
We found the factors 4098,1656 . The biggest common factor number is the GCF number.
So the greatest common factor 4098,1656 is 6.
Lets's calculate LCM of 463,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 382901
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/382901
Therefore, the GCF of Fractions 4098/463,1656/827 is 6/382901
Least Common Multiple of 463,827 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 463,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,827) x common factors =1 x 1 = 1
LCM(463,827) = ( 463 × 827 ) / 1
LCM(463,827) = 382901 / 1
LCM(463,827) = 382901
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FAQs on GCF of Fractions of 4098/463, 1656/827
1. What is the HCF of 4098,1656?
The HCF of 4098,1656 is 6
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 4098/463, 1656/827?
Answer: GCF of Numerators as per given numbers 4098/463, 1656/827 is
GCF of Numerators i.e. for 4098,1656 is 6
LCM of denominators i.e. for 463,827 is 382901.
Thus, GCF of Fractions is 6/382901.Finally, GCF of Fractions for 4098/463, 1656/827 is 6/382901.