GCF of 3801/894, 5112/5812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3801/894, 5112/5812 i.e 3/2597964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3801/894, 5112/5812.
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 3801/894,5112/5812?
Given fractions are 3801/894,5112/5812
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 3801/894,5112/5812, numerators are 3801,5112
Denominators are 894,5812
The GCF of 3801,5112 is 3 .
LCM of 894,5812 is 2597964.
The greatest common factor of 3801/894,5112/5812 = [GCF of 3801,5112]/[LCM of 894,5812]= 3/2597964
Therefore, the GCF of 3801/894,5112/5812 is 3/2597964.
To find the highest common factor of 3801,5112, we have to find the factors of both numbers and list the highest common factor.
The factors of 3801 are 1, 3, 7, 21, 181, 543, 1267, 3801
The factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112
The HCF of 3801,5112 is 3.
Lets's calculate GCF of 3801,5112
| 3 | 3801, 5112 |
| 1267, 1704 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3801,5112 By Matching Biggest Common Factor Method
Now, list down the factors of 3801
:1,3,7,21,181,543,1267,3801
Now, list down the factors of 5112
:1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112
Greatest Common Factor
We found the factors 3801,5112 . The biggest common factor number is the GCF number.
So the greatest common factor 3801,5112 is 3.
Lets's calculate LCM of 894,5812
| 2 | 894, 5812 |
| 447, 2906 |
∴ So the LCM of the given numbers is 2 x 447 x 2906 = 2597964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2597964
Therefore, the GCF of Fractions 3801/894,5112/5812 is 3/2597964
Least Common Multiple of 894,5812 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 894,5812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,5812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,5812) x common factors =2 x 1 = 2
LCM(894,5812) = ( 894 × 5812 ) / 2
LCM(894,5812) = 5195928 / 2
LCM(894,5812) = 2597964
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FAQs on GCF of Fractions of 3801/894, 5112/5812
1. What is the HCF of 3801,5112?
The HCF of 3801,5112 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 3801/894, 5112/5812?
Answer: GCF of Numerators as per given numbers 3801/894, 5112/5812 is
GCF of Numerators i.e. for 3801,5112 is 3
LCM of denominators i.e. for 894,5812 is 2597964.
Thus, GCF of Fractions is 3/2597964.Finally, GCF of Fractions for 3801/894, 5112/5812 is 3/2597964.