GCF of 1908/276, 1800/4242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1908/276, 1800/4242 i.e 36/195132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1908/276, 1800/4242.
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 1908/276,1800/4242?
Given fractions are 1908/276,1800/4242
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 1908/276,1800/4242, numerators are 1908,1800
Denominators are 276,4242
The GCF of 1908,1800 is 36 .
LCM of 276,4242 is 195132.
The greatest common factor of 1908/276,1800/4242 = [GCF of 1908,1800]/[LCM of 276,4242]= 36/195132
Therefore, the GCF of 1908/276,1800/4242 is 36/195132.
To find the highest common factor of 1908,1800, we have to find the factors of both numbers and list the highest common factor.
The factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908
The factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800
The HCF of 1908,1800 is 36.
Lets's calculate GCF of 1908,1800
| 2 | 1908, 1800 |
| 2 | 954, 900 |
| 3 | 477, 450 |
| 3 | 159, 150 |
| 53, 50 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 1908,1800 By Matching Biggest Common Factor Method
Now, list down the factors of 1908
:1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Now, list down the factors of 1800
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800
Greatest Common Factor
We found the factors 1908,1800 . The biggest common factor number is the GCF number.
So the greatest common factor 1908,1800 is 36.
Lets's calculate LCM of 276,4242
| 2 | 276, 4242 |
| 3 | 138, 2121 |
| 46, 707 |
∴ So the LCM of the given numbers is 2 x 3 x 46 x 707 = 195132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/195132
Therefore, the GCF of Fractions 1908/276,1800/4242 is 36/195132
Least Common Multiple of 276,4242 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 276,4242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,4242) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(276,4242) x common factors =6 x 1 = 6
LCM(276,4242) = ( 276 × 4242 ) / 6
LCM(276,4242) = 1170792 / 6
LCM(276,4242) = 195132
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FAQs on GCF of Fractions of 1908/276, 1800/4242
1. What is the HCF of 1908,1800?
The HCF of 1908,1800 is 36
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 1908/276, 1800/4242?
Answer: GCF of Numerators as per given numbers 1908/276, 1800/4242 is
GCF of Numerators i.e. for 1908,1800 is 36
LCM of denominators i.e. for 276,4242 is 195132.
Thus, GCF of Fractions is 36/195132.Finally, GCF of Fractions for 1908/276, 1800/4242 is 36/195132.