GCF of 1189/805, 7090/1729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1189/805, 7090/1729 i.e 1/198835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1189/805, 7090/1729.
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 1189/805,7090/1729?
Given fractions are 1189/805,7090/1729
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 1189/805,7090/1729, numerators are 1189,7090
Denominators are 805,1729
The GCF of 1189,7090 is 1 .
LCM of 805,1729 is 198835.
The greatest common factor of 1189/805,7090/1729 = [GCF of 1189,7090]/[LCM of 805,1729]= 1/198835
Therefore, the GCF of 1189/805,7090/1729 is 1/198835.
To find the highest common factor of 1189,7090, we have to find the factors of both numbers and list the highest common factor.
The factors of 1189 are 1, 29, 41, 1189
The factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090
The HCF of 1189,7090 is 1.
Lets's calculate GCF of 1189,7090
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1189,7090 By Matching Biggest Common Factor Method
Now, list down the factors of 1189
:1,29,41,1189
Now, list down the factors of 7090
:1,2,5,10,709,1418,3545,7090
Greatest Common Factor
We found the factors 1189,7090 . The biggest common factor number is the GCF number.
So the greatest common factor 1189,7090 is 1.
Lets's calculate LCM of 805,1729
| 7 | 805, 1729 |
| 115, 247 |
∴ So the LCM of the given numbers is 7 x 115 x 247 = 198835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198835
Therefore, the GCF of Fractions 1189/805,7090/1729 is 1/198835
Least Common Multiple of 805,1729 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 805,1729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,1729) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(805,1729) x common factors =7 x 1 = 7
LCM(805,1729) = ( 805 × 1729 ) / 7
LCM(805,1729) = 1391845 / 7
LCM(805,1729) = 198835
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FAQs on GCF of Fractions of 1189/805, 7090/1729
1. What is the HCF of 1189,7090?
The HCF of 1189,7090 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 1189/805, 7090/1729?
Answer: GCF of Numerators as per given numbers 1189/805, 7090/1729 is
GCF of Numerators i.e. for 1189,7090 is 1
LCM of denominators i.e. for 805,1729 is 198835.
Thus, GCF of Fractions is 1/198835.Finally, GCF of Fractions for 1189/805, 7090/1729 is 1/198835.