GCF of 4696/331, 1802/6606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4696/331, 1802/6606 i.e 2/2186586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4696/331, 1802/6606.
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 4696/331,1802/6606?
Given fractions are 4696/331,1802/6606
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 4696/331,1802/6606, numerators are 4696,1802
Denominators are 331,6606
The GCF of 4696,1802 is 2 .
LCM of 331,6606 is 2186586.
The greatest common factor of 4696/331,1802/6606 = [GCF of 4696,1802]/[LCM of 331,6606]= 2/2186586
Therefore, the GCF of 4696/331,1802/6606 is 2/2186586.
To find the highest common factor of 4696,1802, we have to find the factors of both numbers and list the highest common factor.
The factors of 4696 are 1, 2, 4, 8, 587, 1174, 2348, 4696
The factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802
The HCF of 4696,1802 is 2.
Lets's calculate GCF of 4696,1802
| 2 | 4696, 1802 |
| 2348, 901 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4696,1802 By Matching Biggest Common Factor Method
Now, list down the factors of 4696
:1,2,4,8,587,1174,2348,4696
Now, list down the factors of 1802
:1,2,17,34,53,106,901,1802
Greatest Common Factor
We found the factors 4696,1802 . The biggest common factor number is the GCF number.
So the greatest common factor 4696,1802 is 2.
Lets's calculate LCM of 331,6606
Given numbers has no common factors except 1. So, there LCM is their product i.e 2186586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2186586
Therefore, the GCF of Fractions 4696/331,1802/6606 is 2/2186586
Least Common Multiple of 331,6606 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 331,6606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,6606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,6606) x common factors =1 x 1 = 1
LCM(331,6606) = ( 331 × 6606 ) / 1
LCM(331,6606) = 2186586 / 1
LCM(331,6606) = 2186586
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FAQs on GCF of Fractions of 4696/331, 1802/6606
1. What is the HCF of 4696,1802?
The HCF of 4696,1802 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 4696/331, 1802/6606?
Answer: GCF of Numerators as per given numbers 4696/331, 1802/6606 is
GCF of Numerators i.e. for 4696,1802 is 2
LCM of denominators i.e. for 331,6606 is 2186586.
Thus, GCF of Fractions is 2/2186586.Finally, GCF of Fractions for 4696/331, 1802/6606 is 2/2186586.