GCF of 2132/989, 1586/176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2132/989, 1586/176 i.e 26/174064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2132/989, 1586/176.
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 2132/989,1586/176?
Given fractions are 2132/989,1586/176
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 2132/989,1586/176, numerators are 2132,1586
Denominators are 989,176
The GCF of 2132,1586 is 26 .
LCM of 989,176 is 174064.
The greatest common factor of 2132/989,1586/176 = [GCF of 2132,1586]/[LCM of 989,176]= 26/174064
Therefore, the GCF of 2132/989,1586/176 is 26/174064.
To find the highest common factor of 2132,1586, we have to find the factors of both numbers and list the highest common factor.
The factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132
The factors of 1586 are 1, 2, 13, 26, 61, 122, 793, 1586
The HCF of 2132,1586 is 26.
Lets's calculate GCF of 2132,1586
| 2 | 2132, 1586 |
| 13 | 1066, 793 |
| 82, 61 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 2132,1586 By Matching Biggest Common Factor Method
Now, list down the factors of 2132
:1,2,4,13,26,41,52,82,164,533,1066,2132
Now, list down the factors of 1586
:1,2,13,26,61,122,793,1586
Greatest Common Factor
We found the factors 2132,1586 . The biggest common factor number is the GCF number.
So the greatest common factor 2132,1586 is 26.
Lets's calculate LCM of 989,176
Given numbers has no common factors except 1. So, there LCM is their product i.e 174064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/174064
Therefore, the GCF of Fractions 2132/989,1586/176 is 26/174064
Least Common Multiple of 989,176 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 989,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,176) x common factors =1 x 1 = 1
LCM(989,176) = ( 989 × 176 ) / 1
LCM(989,176) = 174064 / 1
LCM(989,176) = 174064
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2132/989, 1586/176
1. What is the HCF of 2132,1586?
The HCF of 2132,1586 is 26
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 2132/989, 1586/176?
Answer: GCF of Numerators as per given numbers 2132/989, 1586/176 is
GCF of Numerators i.e. for 2132,1586 is 26
LCM of denominators i.e. for 989,176 is 174064.
Thus, GCF of Fractions is 26/174064.Finally, GCF of Fractions for 2132/989, 1586/176 is 26/174064.