GCF of 1913/724, 2455/119
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1913/724, 2455/119 i.e 1/86156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1913/724, 2455/119.
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 1913/724,2455/119?
Given fractions are 1913/724,2455/119
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 1913/724,2455/119, numerators are 1913,2455
Denominators are 724,119
The GCF of 1913,2455 is 1 .
LCM of 724,119 is 86156.
The greatest common factor of 1913/724,2455/119 = [GCF of 1913,2455]/[LCM of 724,119]= 1/86156
Therefore, the GCF of 1913/724,2455/119 is 1/86156.
To find the highest common factor of 1913,2455, 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 2455 are 1, 5, 491, 2455
The HCF of 1913,2455 is 1.
Lets's calculate GCF of 1913,2455
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1913,2455 By Matching Biggest Common Factor Method
Now, list down the factors of 1913
:1,1913
Now, list down the factors of 2455
:1,5,491,2455
Greatest Common Factor
We found the factors 1913,2455 . The biggest common factor number is the GCF number.
So the greatest common factor 1913,2455 is 1.
Lets's calculate LCM of 724,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 86156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86156
Therefore, the GCF of Fractions 1913/724,2455/119 is 1/86156
Least Common Multiple of 724,119 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 724,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,119) x common factors =1 x 1 = 1
LCM(724,119) = ( 724 × 119 ) / 1
LCM(724,119) = 86156 / 1
LCM(724,119) = 86156
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FAQs on GCF of Fractions of 1913/724, 2455/119
1. What is the HCF of 1913,2455?
The HCF of 1913,2455 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 1913/724, 2455/119?
Answer: GCF of Numerators as per given numbers 1913/724, 2455/119 is
GCF of Numerators i.e. for 1913,2455 is 1
LCM of denominators i.e. for 724,119 is 86156.
Thus, GCF of Fractions is 1/86156.Finally, GCF of Fractions for 1913/724, 2455/119 is 1/86156.