GCF of 1505/198, 2109/6688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1505/198, 2109/6688 i.e 1/60192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1505/198, 2109/6688.
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 1505/198,2109/6688?
Given fractions are 1505/198,2109/6688
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 1505/198,2109/6688, numerators are 1505,2109
Denominators are 198,6688
The GCF of 1505,2109 is 1 .
LCM of 198,6688 is 60192.
The greatest common factor of 1505/198,2109/6688 = [GCF of 1505,2109]/[LCM of 198,6688]= 1/60192
Therefore, the GCF of 1505/198,2109/6688 is 1/60192.
To find the highest common factor of 1505,2109, we have to find the factors of both numbers and list the highest common factor.
The factors of 1505 are 1, 5, 7, 35, 43, 215, 301, 1505
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109
The HCF of 1505,2109 is 1.
Lets's calculate GCF of 1505,2109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1505,2109 By Matching Biggest Common Factor Method
Now, list down the factors of 1505
:1,5,7,35,43,215,301,1505
Now, list down the factors of 2109
:1,3,19,37,57,111,703,2109
Greatest Common Factor
We found the factors 1505,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 1505,2109 is 1.
Lets's calculate LCM of 198,6688
| 2 | 198, 6688 |
| 11 | 99, 3344 |
| 9, 304 |
∴ So the LCM of the given numbers is 2 x 11 x 9 x 304 = 60192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60192
Therefore, the GCF of Fractions 1505/198,2109/6688 is 1/60192
Least Common Multiple of 198,6688 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 198,6688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,6688) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(198,6688) x common factors =22 x 1 = 22
LCM(198,6688) = ( 198 × 6688 ) / 22
LCM(198,6688) = 1324224 / 22
LCM(198,6688) = 60192
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FAQs on GCF of Fractions of 1505/198, 2109/6688
1. What is the HCF of 1505,2109?
The HCF of 1505,2109 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 1505/198, 2109/6688?
Answer: GCF of Numerators as per given numbers 1505/198, 2109/6688 is
GCF of Numerators i.e. for 1505,2109 is 1
LCM of denominators i.e. for 198,6688 is 60192.
Thus, GCF of Fractions is 1/60192.Finally, GCF of Fractions for 1505/198, 2109/6688 is 1/60192.