GCF of 3894/263, 8890/4040
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3894/263, 8890/4040 i.e 2/1062520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3894/263, 8890/4040.
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 3894/263,8890/4040?
Given fractions are 3894/263,8890/4040
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 3894/263,8890/4040, numerators are 3894,8890
Denominators are 263,4040
The GCF of 3894,8890 is 2 .
LCM of 263,4040 is 1062520.
The greatest common factor of 3894/263,8890/4040 = [GCF of 3894,8890]/[LCM of 263,4040]= 2/1062520
Therefore, the GCF of 3894/263,8890/4040 is 2/1062520.
To find the highest common factor of 3894,8890, we have to find the factors of both numbers and list the highest common factor.
The factors of 3894 are 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894
The factors of 8890 are 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890
The HCF of 3894,8890 is 2.
Lets's calculate GCF of 3894,8890
| 2 | 3894, 8890 |
| 1947, 4445 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3894,8890 By Matching Biggest Common Factor Method
Now, list down the factors of 3894
:1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894
Now, list down the factors of 8890
:1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890
Greatest Common Factor
We found the factors 3894,8890 . The biggest common factor number is the GCF number.
So the greatest common factor 3894,8890 is 2.
Lets's calculate LCM of 263,4040
Given numbers has no common factors except 1. So, there LCM is their product i.e 1062520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1062520
Therefore, the GCF of Fractions 3894/263,8890/4040 is 2/1062520
Least Common Multiple of 263,4040 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 263,4040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,4040) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,4040) x common factors =1 x 1 = 1
LCM(263,4040) = ( 263 × 4040 ) / 1
LCM(263,4040) = 1062520 / 1
LCM(263,4040) = 1062520
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FAQs on GCF of Fractions of 3894/263, 8890/4040
1. What is the HCF of 3894,8890?
The HCF of 3894,8890 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 3894/263, 8890/4040?
Answer: GCF of Numerators as per given numbers 3894/263, 8890/4040 is
GCF of Numerators i.e. for 3894,8890 is 2
LCM of denominators i.e. for 263,4040 is 1062520.
Thus, GCF of Fractions is 2/1062520.Finally, GCF of Fractions for 3894/263, 8890/4040 is 2/1062520.