GCF of 187/219, 206/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 187/219, 206/912 i.e 1/66576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/219, 206/912.
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 187/219,206/912?
Given fractions are 187/219,206/912
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 187/219,206/912, numerators are 187,206
Denominators are 219,912
The GCF of 187,206 is 1 .
LCM of 219,912 is 66576.
The greatest common factor of 187/219,206/912 = [GCF of 187,206]/[LCM of 219,912]= 1/66576
Therefore, the GCF of 187/219,206/912 is 1/66576.
To find the highest common factor of 187,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 187 are 1, 11, 17, 187
The factors of 206 are 1, 2, 103, 206
The HCF of 187,206 is 1.
Lets's calculate GCF of 187,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 187,206 By Matching Biggest Common Factor Method
Now, list down the factors of 187
:1,11,17,187
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 187,206 . The biggest common factor number is the GCF number.
So the greatest common factor 187,206 is 1.
Lets's calculate LCM of 219,912
| 3 | 219, 912 |
| 73, 304 |
∴ So the LCM of the given numbers is 3 x 73 x 304 = 66576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66576
Therefore, the GCF of Fractions 187/219,206/912 is 1/66576
Least Common Multiple of 219,912 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 219,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,912) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,912) x common factors =3 x 1 = 3
LCM(219,912) = ( 219 × 912 ) / 3
LCM(219,912) = 199728 / 3
LCM(219,912) = 66576
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 187/219, 206/912
1. What is the HCF of 187,206?
The HCF of 187,206 is 1
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 187/219, 206/912?
Answer: GCF of Numerators as per given numbers 187/219, 206/912 is
GCF of Numerators i.e. for 187,206 is 1
LCM of denominators i.e. for 219,912 is 66576.
Thus, GCF of Fractions is 1/66576.Finally, GCF of Fractions for 187/219, 206/912 is 1/66576.