GCF of 739/786, 5194/6164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 739/786, 5194/6164 i.e 1/2422452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 739/786, 5194/6164.
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 739/786,5194/6164?
Given fractions are 739/786,5194/6164
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 739/786,5194/6164, numerators are 739,5194
Denominators are 786,6164
The GCF of 739,5194 is 1 .
LCM of 786,6164 is 2422452.
The greatest common factor of 739/786,5194/6164 = [GCF of 739,5194]/[LCM of 786,6164]= 1/2422452
Therefore, the GCF of 739/786,5194/6164 is 1/2422452.
To find the highest common factor of 739,5194, we have to find the factors of both numbers and list the highest common factor.
The factors of 739 are 1, 739
The factors of 5194 are 1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194
The HCF of 739,5194 is 1.
Lets's calculate GCF of 739,5194
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 739,5194 By Matching Biggest Common Factor Method
Now, list down the factors of 739
:1,739
Now, list down the factors of 5194
:1,2,7,14,49,53,98,106,371,742,2597,5194
Greatest Common Factor
We found the factors 739,5194 . The biggest common factor number is the GCF number.
So the greatest common factor 739,5194 is 1.
Lets's calculate LCM of 786,6164
| 2 | 786, 6164 |
| 393, 3082 |
∴ So the LCM of the given numbers is 2 x 393 x 3082 = 2422452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2422452
Therefore, the GCF of Fractions 739/786,5194/6164 is 1/2422452
Least Common Multiple of 786,6164 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 786,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,6164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,6164) x common factors =2 x 1 = 2
LCM(786,6164) = ( 786 × 6164 ) / 2
LCM(786,6164) = 4844904 / 2
LCM(786,6164) = 2422452
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FAQs on GCF of Fractions of 739/786, 5194/6164
1. What is the HCF of 739,5194?
The HCF of 739,5194 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 739/786, 5194/6164?
Answer: GCF of Numerators as per given numbers 739/786, 5194/6164 is
GCF of Numerators i.e. for 739,5194 is 1
LCM of denominators i.e. for 786,6164 is 2422452.
Thus, GCF of Fractions is 1/2422452.Finally, GCF of Fractions for 739/786, 5194/6164 is 1/2422452.