GCF of 1606/979, 5872/463
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1606/979, 5872/463 i.e 2/453277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1606/979, 5872/463.
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 1606/979,5872/463?
Given fractions are 1606/979,5872/463
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 1606/979,5872/463, numerators are 1606,5872
Denominators are 979,463
The GCF of 1606,5872 is 2 .
LCM of 979,463 is 453277.
The greatest common factor of 1606/979,5872/463 = [GCF of 1606,5872]/[LCM of 979,463]= 2/453277
Therefore, the GCF of 1606/979,5872/463 is 2/453277.
To find the highest common factor of 1606,5872, we have to find the factors of both numbers and list the highest common factor.
The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606
The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872
The HCF of 1606,5872 is 2.
Lets's calculate GCF of 1606,5872
| 2 | 1606, 5872 |
| 803, 2936 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1606,5872 By Matching Biggest Common Factor Method
Now, list down the factors of 1606
:1,2,11,22,73,146,803,1606
Now, list down the factors of 5872
:1,2,4,8,16,367,734,1468,2936,5872
Greatest Common Factor
We found the factors 1606,5872 . The biggest common factor number is the GCF number.
So the greatest common factor 1606,5872 is 2.
Lets's calculate LCM of 979,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 453277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/453277
Therefore, the GCF of Fractions 1606/979,5872/463 is 2/453277
Least Common Multiple of 979,463 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 979,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,463) x common factors =1 x 1 = 1
LCM(979,463) = ( 979 × 463 ) / 1
LCM(979,463) = 453277 / 1
LCM(979,463) = 453277
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FAQs on GCF of Fractions of 1606/979, 5872/463
1. What is the HCF of 1606,5872?
The HCF of 1606,5872 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 1606/979, 5872/463?
Answer: GCF of Numerators as per given numbers 1606/979, 5872/463 is
GCF of Numerators i.e. for 1606,5872 is 2
LCM of denominators i.e. for 979,463 is 453277.
Thus, GCF of Fractions is 2/453277.Finally, GCF of Fractions for 1606/979, 5872/463 is 2/453277.