GCF of 1084/592, 1722/1556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1084/592, 1722/1556 i.e 2/230288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1084/592, 1722/1556.
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 1084/592,1722/1556?
Given fractions are 1084/592,1722/1556
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 1084/592,1722/1556, numerators are 1084,1722
Denominators are 592,1556
The GCF of 1084,1722 is 2 .
LCM of 592,1556 is 230288.
The greatest common factor of 1084/592,1722/1556 = [GCF of 1084,1722]/[LCM of 592,1556]= 2/230288
Therefore, the GCF of 1084/592,1722/1556 is 2/230288.
To find the highest common factor of 1084,1722, we have to find the factors of both numbers and list the highest common factor.
The factors of 1084 are 1, 2, 4, 271, 542, 1084
The factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
The HCF of 1084,1722 is 2.
Lets's calculate GCF of 1084,1722
| 2 | 1084, 1722 |
| 542, 861 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1084,1722 By Matching Biggest Common Factor Method
Now, list down the factors of 1084
:1,2,4,271,542,1084
Now, list down the factors of 1722
:1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Greatest Common Factor
We found the factors 1084,1722 . The biggest common factor number is the GCF number.
So the greatest common factor 1084,1722 is 2.
Lets's calculate LCM of 592,1556
| 2 | 592, 1556 |
| 2 | 296, 778 |
| 148, 389 |
∴ So the LCM of the given numbers is 2 x 2 x 148 x 389 = 230288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230288
Therefore, the GCF of Fractions 1084/592,1722/1556 is 2/230288
Least Common Multiple of 592,1556 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 592,1556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,1556) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(592,1556) x common factors =4 x 1 = 4
LCM(592,1556) = ( 592 × 1556 ) / 4
LCM(592,1556) = 921152 / 4
LCM(592,1556) = 230288
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FAQs on GCF of Fractions of 1084/592, 1722/1556
1. What is the HCF of 1084,1722?
The HCF of 1084,1722 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 1084/592, 1722/1556?
Answer: GCF of Numerators as per given numbers 1084/592, 1722/1556 is
GCF of Numerators i.e. for 1084,1722 is 2
LCM of denominators i.e. for 592,1556 is 230288.
Thus, GCF of Fractions is 2/230288.Finally, GCF of Fractions for 1084/592, 1722/1556 is 2/230288.