GCF of 1190/159, 9503/2578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1190/159, 9503/2578 i.e 17/409902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1190/159, 9503/2578.
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 1190/159,9503/2578?
Given fractions are 1190/159,9503/2578
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 1190/159,9503/2578, numerators are 1190,9503
Denominators are 159,2578
The GCF of 1190,9503 is 17 .
LCM of 159,2578 is 409902.
The greatest common factor of 1190/159,9503/2578 = [GCF of 1190,9503]/[LCM of 159,2578]= 17/409902
Therefore, the GCF of 1190/159,9503/2578 is 17/409902.
To find the highest common factor of 1190,9503, we have to find the factors of both numbers and list the highest common factor.
The factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190
The factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503
The HCF of 1190,9503 is 17.
Lets's calculate GCF of 1190,9503
| 17 | 1190, 9503 |
| 70, 559 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1190,9503 By Matching Biggest Common Factor Method
Now, list down the factors of 1190
:1,2,5,7,10,14,17,34,35,70,85,119,170,238,595,1190
Now, list down the factors of 9503
:1,13,17,43,221,559,731,9503
Greatest Common Factor
We found the factors 1190,9503 . The biggest common factor number is the GCF number.
So the greatest common factor 1190,9503 is 17.
Lets's calculate LCM of 159,2578
Given numbers has no common factors except 1. So, there LCM is their product i.e 409902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/409902
Therefore, the GCF of Fractions 1190/159,9503/2578 is 17/409902
Least Common Multiple of 159,2578 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 159,2578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,2578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,2578) x common factors =1 x 1 = 1
LCM(159,2578) = ( 159 × 2578 ) / 1
LCM(159,2578) = 409902 / 1
LCM(159,2578) = 409902
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FAQs on GCF of Fractions of 1190/159, 9503/2578
1. What is the HCF of 1190,9503?
The HCF of 1190,9503 is 17
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 1190/159, 9503/2578?
Answer: GCF of Numerators as per given numbers 1190/159, 9503/2578 is
GCF of Numerators i.e. for 1190,9503 is 17
LCM of denominators i.e. for 159,2578 is 409902.
Thus, GCF of Fractions is 17/409902.Finally, GCF of Fractions for 1190/159, 9503/2578 is 17/409902.