GCF of 1890/482, 4142/6274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1890/482, 4142/6274 i.e 2/1512034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1890/482, 4142/6274.
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 1890/482,4142/6274?
Given fractions are 1890/482,4142/6274
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 1890/482,4142/6274, numerators are 1890,4142
Denominators are 482,6274
The GCF of 1890,4142 is 2 .
LCM of 482,6274 is 1512034.
The greatest common factor of 1890/482,4142/6274 = [GCF of 1890,4142]/[LCM of 482,6274]= 2/1512034
Therefore, the GCF of 1890/482,4142/6274 is 2/1512034.
To find the highest common factor of 1890,4142, we have to find the factors of both numbers and list the highest common factor.
The factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890
The factors of 4142 are 1, 2, 19, 38, 109, 218, 2071, 4142
The HCF of 1890,4142 is 2.
Lets's calculate GCF of 1890,4142
| 2 | 1890, 4142 |
| 945, 2071 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1890,4142 By Matching Biggest Common Factor Method
Now, list down the factors of 1890
:1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,90,105,126,135,189,210,270,315,378,630,945,1890
Now, list down the factors of 4142
:1,2,19,38,109,218,2071,4142
Greatest Common Factor
We found the factors 1890,4142 . The biggest common factor number is the GCF number.
So the greatest common factor 1890,4142 is 2.
Lets's calculate LCM of 482,6274
| 2 | 482, 6274 |
| 241, 3137 |
∴ So the LCM of the given numbers is 2 x 241 x 3137 = 1512034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1512034
Therefore, the GCF of Fractions 1890/482,4142/6274 is 2/1512034
Least Common Multiple of 482,6274 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 482,6274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,6274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,6274) x common factors =2 x 1 = 2
LCM(482,6274) = ( 482 × 6274 ) / 2
LCM(482,6274) = 3024068 / 2
LCM(482,6274) = 1512034
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FAQs on GCF of Fractions of 1890/482, 4142/6274
1. What is the HCF of 1890,4142?
The HCF of 1890,4142 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 1890/482, 4142/6274?
Answer: GCF of Numerators as per given numbers 1890/482, 4142/6274 is
GCF of Numerators i.e. for 1890,4142 is 2
LCM of denominators i.e. for 482,6274 is 1512034.
Thus, GCF of Fractions is 2/1512034.Finally, GCF of Fractions for 1890/482, 4142/6274 is 2/1512034.