GCF of 1215/250, 6870/1898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1215/250, 6870/1898 i.e 15/237250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1215/250, 6870/1898.
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 1215/250,6870/1898?
Given fractions are 1215/250,6870/1898
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 1215/250,6870/1898, numerators are 1215,6870
Denominators are 250,1898
The GCF of 1215,6870 is 15 .
LCM of 250,1898 is 237250.
The greatest common factor of 1215/250,6870/1898 = [GCF of 1215,6870]/[LCM of 250,1898]= 15/237250
Therefore, the GCF of 1215/250,6870/1898 is 15/237250.
To find the highest common factor of 1215,6870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215
The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870
The HCF of 1215,6870 is 15.
Lets's calculate GCF of 1215,6870
| 3 | 1215, 6870 |
| 5 | 405, 2290 |
| 81, 458 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1215,6870 By Matching Biggest Common Factor Method
Now, list down the factors of 1215
:1,3,5,9,15,27,45,81,135,243,405,1215
Now, list down the factors of 6870
:1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Greatest Common Factor
We found the factors 1215,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 1215,6870 is 15.
Lets's calculate LCM of 250,1898
| 2 | 250, 1898 |
| 125, 949 |
∴ So the LCM of the given numbers is 2 x 125 x 949 = 237250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/237250
Therefore, the GCF of Fractions 1215/250,6870/1898 is 15/237250
Least Common Multiple of 250,1898 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 250,1898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,1898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(250,1898) x common factors =2 x 1 = 2
LCM(250,1898) = ( 250 × 1898 ) / 2
LCM(250,1898) = 474500 / 2
LCM(250,1898) = 237250
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FAQs on GCF of Fractions of 1215/250, 6870/1898
1. What is the HCF of 1215,6870?
The HCF of 1215,6870 is 15
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 1215/250, 6870/1898?
Answer: GCF of Numerators as per given numbers 1215/250, 6870/1898 is
GCF of Numerators i.e. for 1215,6870 is 15
LCM of denominators i.e. for 250,1898 is 237250.
Thus, GCF of Fractions is 15/237250.Finally, GCF of Fractions for 1215/250, 6870/1898 is 15/237250.