GCF of 3800/699, 1836/5892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3800/699, 1836/5892 i.e 4/1372836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3800/699, 1836/5892.
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 3800/699,1836/5892?
Given fractions are 3800/699,1836/5892
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 3800/699,1836/5892, numerators are 3800,1836
Denominators are 699,5892
The GCF of 3800,1836 is 4 .
LCM of 699,5892 is 1372836.
The greatest common factor of 3800/699,1836/5892 = [GCF of 3800,1836]/[LCM of 699,5892]= 4/1372836
Therefore, the GCF of 3800/699,1836/5892 is 4/1372836.
To find the highest common factor of 3800,1836, we have to find the factors of both numbers and list the highest common factor.
The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800
The factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836
The HCF of 3800,1836 is 4.
Lets's calculate GCF of 3800,1836
| 2 | 3800, 1836 |
| 2 | 1900, 918 |
| 950, 459 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3800,1836 By Matching Biggest Common Factor Method
Now, list down the factors of 3800
:1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800
Now, list down the factors of 1836
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836
Greatest Common Factor
We found the factors 3800,1836 . The biggest common factor number is the GCF number.
So the greatest common factor 3800,1836 is 4.
Lets's calculate LCM of 699,5892
| 3 | 699, 5892 |
| 233, 1964 |
∴ So the LCM of the given numbers is 3 x 233 x 1964 = 1372836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1372836
Therefore, the GCF of Fractions 3800/699,1836/5892 is 4/1372836
Least Common Multiple of 699,5892 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 699,5892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,5892) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(699,5892) x common factors =3 x 1 = 3
LCM(699,5892) = ( 699 × 5892 ) / 3
LCM(699,5892) = 4118508 / 3
LCM(699,5892) = 1372836
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FAQs on GCF of Fractions of 3800/699, 1836/5892
1. What is the HCF of 3800,1836?
The HCF of 3800,1836 is 4
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 3800/699, 1836/5892?
Answer: GCF of Numerators as per given numbers 3800/699, 1836/5892 is
GCF of Numerators i.e. for 3800,1836 is 4
LCM of denominators i.e. for 699,5892 is 1372836.
Thus, GCF of Fractions is 4/1372836.Finally, GCF of Fractions for 3800/699, 1836/5892 is 4/1372836.