GCF of 1476/444, 6159/2932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1476/444, 6159/2932 i.e 3/325452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1476/444, 6159/2932.
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 1476/444,6159/2932?
Given fractions are 1476/444,6159/2932
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 1476/444,6159/2932, numerators are 1476,6159
Denominators are 444,2932
The GCF of 1476,6159 is 3 .
LCM of 444,2932 is 325452.
The greatest common factor of 1476/444,6159/2932 = [GCF of 1476,6159]/[LCM of 444,2932]= 3/325452
Therefore, the GCF of 1476/444,6159/2932 is 3/325452.
To find the highest common factor of 1476,6159, we have to find the factors of both numbers and list the highest common factor.
The factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476
The factors of 6159 are 1, 3, 2053, 6159
The HCF of 1476,6159 is 3.
Lets's calculate GCF of 1476,6159
| 3 | 1476, 6159 |
| 492, 2053 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1476,6159 By Matching Biggest Common Factor Method
Now, list down the factors of 1476
:1,2,3,4,6,9,12,18,36,41,82,123,164,246,369,492,738,1476
Now, list down the factors of 6159
:1,3,2053,6159
Greatest Common Factor
We found the factors 1476,6159 . The biggest common factor number is the GCF number.
So the greatest common factor 1476,6159 is 3.
Lets's calculate LCM of 444,2932
| 2 | 444, 2932 |
| 2 | 222, 1466 |
| 111, 733 |
∴ So the LCM of the given numbers is 2 x 2 x 111 x 733 = 325452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/325452
Therefore, the GCF of Fractions 1476/444,6159/2932 is 3/325452
Least Common Multiple of 444,2932 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 444,2932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,2932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(444,2932) x common factors =4 x 1 = 4
LCM(444,2932) = ( 444 × 2932 ) / 4
LCM(444,2932) = 1301808 / 4
LCM(444,2932) = 325452
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FAQs on GCF of Fractions of 1476/444, 6159/2932
1. What is the HCF of 1476,6159?
The HCF of 1476,6159 is 3
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 1476/444, 6159/2932?
Answer: GCF of Numerators as per given numbers 1476/444, 6159/2932 is
GCF of Numerators i.e. for 1476,6159 is 3
LCM of denominators i.e. for 444,2932 is 325452.
Thus, GCF of Fractions is 3/325452.Finally, GCF of Fractions for 1476/444, 6159/2932 is 3/325452.