GCF of 5191/786, 1874/5305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5191/786, 1874/5305 i.e 1/4169730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5191/786, 1874/5305.
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 5191/786,1874/5305?
Given fractions are 5191/786,1874/5305
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 5191/786,1874/5305, numerators are 5191,1874
Denominators are 786,5305
The GCF of 5191,1874 is 1 .
LCM of 786,5305 is 4169730.
The greatest common factor of 5191/786,1874/5305 = [GCF of 5191,1874]/[LCM of 786,5305]= 1/4169730
Therefore, the GCF of 5191/786,1874/5305 is 1/4169730.
To find the highest common factor of 5191,1874, we have to find the factors of both numbers and list the highest common factor.
The factors of 5191 are 1, 29, 179, 5191
The factors of 1874 are 1, 2, 937, 1874
The HCF of 5191,1874 is 1.
Lets's calculate GCF of 5191,1874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5191,1874 By Matching Biggest Common Factor Method
Now, list down the factors of 5191
:1,29,179,5191
Now, list down the factors of 1874
:1,2,937,1874
Greatest Common Factor
We found the factors 5191,1874 . The biggest common factor number is the GCF number.
So the greatest common factor 5191,1874 is 1.
Lets's calculate LCM of 786,5305
Given numbers has no common factors except 1. So, there LCM is their product i.e 4169730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4169730
Therefore, the GCF of Fractions 5191/786,1874/5305 is 1/4169730
Least Common Multiple of 786,5305 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 786,5305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,5305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,5305) x common factors =1 x 1 = 1
LCM(786,5305) = ( 786 × 5305 ) / 1
LCM(786,5305) = 4169730 / 1
LCM(786,5305) = 4169730
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FAQs on GCF of Fractions of 5191/786, 1874/5305
1. What is the HCF of 5191,1874?
The HCF of 5191,1874 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 5191/786, 1874/5305?
Answer: GCF of Numerators as per given numbers 5191/786, 1874/5305 is
GCF of Numerators i.e. for 5191,1874 is 1
LCM of denominators i.e. for 786,5305 is 4169730.
Thus, GCF of Fractions is 1/4169730.Finally, GCF of Fractions for 5191/786, 1874/5305 is 1/4169730.