GCF of 1680/203, 4989/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1680/203, 4989/238 i.e 3/6902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1680/203, 4989/238.
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 1680/203,4989/238?
Given fractions are 1680/203,4989/238
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 1680/203,4989/238, numerators are 1680,4989
Denominators are 203,238
The GCF of 1680,4989 is 3 .
LCM of 203,238 is 6902.
The greatest common factor of 1680/203,4989/238 = [GCF of 1680,4989]/[LCM of 203,238]= 3/6902
Therefore, the GCF of 1680/203,4989/238 is 3/6902.
To find the highest common factor of 1680,4989, we have to find the factors of both numbers and list the highest common factor.
The factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680
The factors of 4989 are 1, 3, 1663, 4989
The HCF of 1680,4989 is 3.
Lets's calculate GCF of 1680,4989
| 3 | 1680, 4989 |
| 560, 1663 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1680,4989 By Matching Biggest Common Factor Method
Now, list down the factors of 1680
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,35,40,42,48,56,60,70,80,84,105,112,120,140,168,210,240,280,336,420,560,840,1680
Now, list down the factors of 4989
:1,3,1663,4989
Greatest Common Factor
We found the factors 1680,4989 . The biggest common factor number is the GCF number.
So the greatest common factor 1680,4989 is 3.
Lets's calculate LCM of 203,238
| 7 | 203, 238 |
| 29, 34 |
∴ So the LCM of the given numbers is 7 x 29 x 34 = 6902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6902
Therefore, the GCF of Fractions 1680/203,4989/238 is 3/6902
Least Common Multiple of 203,238 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 203,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,238) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(203,238) x common factors =7 x 1 = 7
LCM(203,238) = ( 203 × 238 ) / 7
LCM(203,238) = 48314 / 7
LCM(203,238) = 6902
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1680/203, 4989/238
1. What is the HCF of 1680,4989?
The HCF of 1680,4989 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 1680/203, 4989/238?
Answer: GCF of Numerators as per given numbers 1680/203, 4989/238 is
GCF of Numerators i.e. for 1680,4989 is 3
LCM of denominators i.e. for 203,238 is 6902.
Thus, GCF of Fractions is 3/6902.Finally, GCF of Fractions for 1680/203, 4989/238 is 3/6902.