GCF of 1899/870, 6030/8390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1899/870, 6030/8390 i.e 9/729930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1899/870, 6030/8390.
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 1899/870,6030/8390?
Given fractions are 1899/870,6030/8390
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 1899/870,6030/8390, numerators are 1899,6030
Denominators are 870,8390
The GCF of 1899,6030 is 9 .
LCM of 870,8390 is 729930.
The greatest common factor of 1899/870,6030/8390 = [GCF of 1899,6030]/[LCM of 870,8390]= 9/729930
Therefore, the GCF of 1899/870,6030/8390 is 9/729930.
To find the highest common factor of 1899,6030, we have to find the factors of both numbers and list the highest common factor.
The factors of 1899 are 1, 3, 9, 211, 633, 1899
The factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030
The HCF of 1899,6030 is 9.
Lets's calculate GCF of 1899,6030
| 3 | 1899, 6030 |
| 3 | 633, 2010 |
| 211, 670 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1899,6030 By Matching Biggest Common Factor Method
Now, list down the factors of 1899
:1,3,9,211,633,1899
Now, list down the factors of 6030
:1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030
Greatest Common Factor
We found the factors 1899,6030 . The biggest common factor number is the GCF number.
So the greatest common factor 1899,6030 is 9.
Lets's calculate LCM of 870,8390
| 2 | 870, 8390 |
| 5 | 435, 4195 |
| 87, 839 |
∴ So the LCM of the given numbers is 2 x 5 x 87 x 839 = 729930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/729930
Therefore, the GCF of Fractions 1899/870,6030/8390 is 9/729930
Least Common Multiple of 870,8390 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 870,8390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,8390) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(870,8390) x common factors =10 x 1 = 10
LCM(870,8390) = ( 870 × 8390 ) / 10
LCM(870,8390) = 7299300 / 10
LCM(870,8390) = 729930
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FAQs on GCF of Fractions of 1899/870, 6030/8390
1. What is the HCF of 1899,6030?
The HCF of 1899,6030 is 9
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 1899/870, 6030/8390?
Answer: GCF of Numerators as per given numbers 1899/870, 6030/8390 is
GCF of Numerators i.e. for 1899,6030 is 9
LCM of denominators i.e. for 870,8390 is 729930.
Thus, GCF of Fractions is 9/729930.Finally, GCF of Fractions for 1899/870, 6030/8390 is 9/729930.