GCF of 1913/581, 9565/1915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1913/581, 9565/1915 i.e 1913/1112615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1913/581, 9565/1915.
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 1913/581,9565/1915?
Given fractions are 1913/581,9565/1915
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 1913/581,9565/1915, numerators are 1913,9565
Denominators are 581,1915
The GCF of 1913,9565 is 1913 .
LCM of 581,1915 is 1112615.
The greatest common factor of 1913/581,9565/1915 = [GCF of 1913,9565]/[LCM of 581,1915]= 1913/1112615
Therefore, the GCF of 1913/581,9565/1915 is 1913/1112615.
To find the highest common factor of 1913,9565, we have to find the factors of both numbers and list the highest common factor.
The factors of 1913 are 1, 1913
The factors of 9565 are 1, 5, 1913, 9565
The HCF of 1913,9565 is 1913.
Lets's calculate GCF of 1913,9565
| 1913 | 1913, 9565 |
| 1, 5 |
∴ So the GCF of the given numbers is 1913 = 1913
Greatest Common Factor of 1913,9565 By Matching Biggest Common Factor Method
Now, list down the factors of 1913
:1,1913
Now, list down the factors of 9565
:1,5,1913,9565
Greatest Common Factor
We found the factors 1913,9565 . The biggest common factor number is the GCF number.
So the greatest common factor 1913,9565 is 1913.
Lets's calculate LCM of 581,1915
Given numbers has no common factors except 1. So, there LCM is their product i.e 1112615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1913/1112615
Therefore, the GCF of Fractions 1913/581,9565/1915 is 1913/1112615
Least Common Multiple of 581,1915 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 581,1915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,1915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,1915) x common factors =1 x 1 = 1
LCM(581,1915) = ( 581 × 1915 ) / 1
LCM(581,1915) = 1112615 / 1
LCM(581,1915) = 1112615
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FAQs on GCF of Fractions of 1913/581, 9565/1915
1. What is the HCF of 1913,9565?
The HCF of 1913,9565 is 1913
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 1913/581, 9565/1915?
Answer: GCF of Numerators as per given numbers 1913/581, 9565/1915 is
GCF of Numerators i.e. for 1913,9565 is 1913
LCM of denominators i.e. for 581,1915 is 1112615.
Thus, GCF of Fractions is 1913/1112615.Finally, GCF of Fractions for 1913/581, 9565/1915 is 1913/1112615.