GCF of 3188/814, 1180/2912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3188/814, 1180/2912 i.e 4/1185184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3188/814, 1180/2912.
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 3188/814,1180/2912?
Given fractions are 3188/814,1180/2912
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 3188/814,1180/2912, numerators are 3188,1180
Denominators are 814,2912
The GCF of 3188,1180 is 4 .
LCM of 814,2912 is 1185184.
The greatest common factor of 3188/814,1180/2912 = [GCF of 3188,1180]/[LCM of 814,2912]= 4/1185184
Therefore, the GCF of 3188/814,1180/2912 is 4/1185184.
To find the highest common factor of 3188,1180, we have to find the factors of both numbers and list the highest common factor.
The factors of 3188 are 1, 2, 4, 797, 1594, 3188
The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180
The HCF of 3188,1180 is 4.
Lets's calculate GCF of 3188,1180
| 2 | 3188, 1180 |
| 2 | 1594, 590 |
| 797, 295 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3188,1180 By Matching Biggest Common Factor Method
Now, list down the factors of 3188
:1,2,4,797,1594,3188
Now, list down the factors of 1180
:1,2,4,5,10,20,59,118,236,295,590,1180
Greatest Common Factor
We found the factors 3188,1180 . The biggest common factor number is the GCF number.
So the greatest common factor 3188,1180 is 4.
Lets's calculate LCM of 814,2912
| 2 | 814, 2912 |
| 407, 1456 |
∴ So the LCM of the given numbers is 2 x 407 x 1456 = 1185184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1185184
Therefore, the GCF of Fractions 3188/814,1180/2912 is 4/1185184
Least Common Multiple of 814,2912 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 814,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,2912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,2912) x common factors =2 x 1 = 2
LCM(814,2912) = ( 814 × 2912 ) / 2
LCM(814,2912) = 2370368 / 2
LCM(814,2912) = 1185184
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FAQs on GCF of Fractions of 3188/814, 1180/2912
1. What is the HCF of 3188,1180?
The HCF of 3188,1180 is 4
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 3188/814, 1180/2912?
Answer: GCF of Numerators as per given numbers 3188/814, 1180/2912 is
GCF of Numerators i.e. for 3188,1180 is 4
LCM of denominators i.e. for 814,2912 is 1185184.
Thus, GCF of Fractions is 4/1185184.Finally, GCF of Fractions for 3188/814, 1180/2912 is 4/1185184.