GCF of 3258/188, 6178/6436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3258/188, 6178/6436 i.e 2/302492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3258/188, 6178/6436.
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 3258/188,6178/6436?
Given fractions are 3258/188,6178/6436
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 3258/188,6178/6436, numerators are 3258,6178
Denominators are 188,6436
The GCF of 3258,6178 is 2 .
LCM of 188,6436 is 302492.
The greatest common factor of 3258/188,6178/6436 = [GCF of 3258,6178]/[LCM of 188,6436]= 2/302492
Therefore, the GCF of 3258/188,6178/6436 is 2/302492.
To find the highest common factor of 3258,6178, we have to find the factors of both numbers and list the highest common factor.
The factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258
The factors of 6178 are 1, 2, 3089, 6178
The HCF of 3258,6178 is 2.
Lets's calculate GCF of 3258,6178
| 2 | 3258, 6178 |
| 1629, 3089 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3258,6178 By Matching Biggest Common Factor Method
Now, list down the factors of 3258
:1,2,3,6,9,18,181,362,543,1086,1629,3258
Now, list down the factors of 6178
:1,2,3089,6178
Greatest Common Factor
We found the factors 3258,6178 . The biggest common factor number is the GCF number.
So the greatest common factor 3258,6178 is 2.
Lets's calculate LCM of 188,6436
| 2 | 188, 6436 |
| 2 | 94, 3218 |
| 47, 1609 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 1609 = 302492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/302492
Therefore, the GCF of Fractions 3258/188,6178/6436 is 2/302492
Least Common Multiple of 188,6436 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 188,6436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,6436) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(188,6436) x common factors =4 x 1 = 4
LCM(188,6436) = ( 188 × 6436 ) / 4
LCM(188,6436) = 1209968 / 4
LCM(188,6436) = 302492
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FAQs on GCF of Fractions of 3258/188, 6178/6436
1. What is the HCF of 3258,6178?
The HCF of 3258,6178 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 3258/188, 6178/6436?
Answer: GCF of Numerators as per given numbers 3258/188, 6178/6436 is
GCF of Numerators i.e. for 3258,6178 is 2
LCM of denominators i.e. for 188,6436 is 302492.
Thus, GCF of Fractions is 2/302492.Finally, GCF of Fractions for 3258/188, 6178/6436 is 2/302492.