GCF of 1433/978, 9982/3564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1433/978, 9982/3564 i.e 1/580932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1433/978, 9982/3564.
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 1433/978,9982/3564?
Given fractions are 1433/978,9982/3564
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 1433/978,9982/3564, numerators are 1433,9982
Denominators are 978,3564
The GCF of 1433,9982 is 1 .
LCM of 978,3564 is 580932.
The greatest common factor of 1433/978,9982/3564 = [GCF of 1433,9982]/[LCM of 978,3564]= 1/580932
Therefore, the GCF of 1433/978,9982/3564 is 1/580932.
To find the highest common factor of 1433,9982, we have to find the factors of both numbers and list the highest common factor.
The factors of 1433 are 1, 1433
The factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982
The HCF of 1433,9982 is 1.
Lets's calculate GCF of 1433,9982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1433,9982 By Matching Biggest Common Factor Method
Now, list down the factors of 1433
:1,1433
Now, list down the factors of 9982
:1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982
Greatest Common Factor
We found the factors 1433,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 1433,9982 is 1.
Lets's calculate LCM of 978,3564
| 2 | 978, 3564 |
| 3 | 489, 1782 |
| 163, 594 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 594 = 580932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/580932
Therefore, the GCF of Fractions 1433/978,9982/3564 is 1/580932
Least Common Multiple of 978,3564 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 978,3564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,3564) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(978,3564) x common factors =6 x 1 = 6
LCM(978,3564) = ( 978 × 3564 ) / 6
LCM(978,3564) = 3485592 / 6
LCM(978,3564) = 580932
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FAQs on GCF of Fractions of 1433/978, 9982/3564
1. What is the HCF of 1433,9982?
The HCF of 1433,9982 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 1433/978, 9982/3564?
Answer: GCF of Numerators as per given numbers 1433/978, 9982/3564 is
GCF of Numerators i.e. for 1433,9982 is 1
LCM of denominators i.e. for 978,3564 is 580932.
Thus, GCF of Fractions is 1/580932.Finally, GCF of Fractions for 1433/978, 9982/3564 is 1/580932.