GCF of 5119/943, 6774/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5119/943, 6774/523 i.e 1/493189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5119/943, 6774/523.
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 5119/943,6774/523?
Given fractions are 5119/943,6774/523
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 5119/943,6774/523, numerators are 5119,6774
Denominators are 943,523
The GCF of 5119,6774 is 1 .
LCM of 943,523 is 493189.
The greatest common factor of 5119/943,6774/523 = [GCF of 5119,6774]/[LCM of 943,523]= 1/493189
Therefore, the GCF of 5119/943,6774/523 is 1/493189.
To find the highest common factor of 5119,6774, we have to find the factors of both numbers and list the highest common factor.
The factors of 5119 are 1, 5119
The factors of 6774 are 1, 2, 3, 6, 1129, 2258, 3387, 6774
The HCF of 5119,6774 is 1.
Lets's calculate GCF of 5119,6774
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5119,6774 By Matching Biggest Common Factor Method
Now, list down the factors of 5119
:1,5119
Now, list down the factors of 6774
:1,2,3,6,1129,2258,3387,6774
Greatest Common Factor
We found the factors 5119,6774 . The biggest common factor number is the GCF number.
So the greatest common factor 5119,6774 is 1.
Lets's calculate LCM of 943,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 493189
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493189
Therefore, the GCF of Fractions 5119/943,6774/523 is 1/493189
Least Common Multiple of 943,523 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 943,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,523) x common factors =1 x 1 = 1
LCM(943,523) = ( 943 × 523 ) / 1
LCM(943,523) = 493189 / 1
LCM(943,523) = 493189
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FAQs on GCF of Fractions of 5119/943, 6774/523
1. What is the HCF of 5119,6774?
The HCF of 5119,6774 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 5119/943, 6774/523?
Answer: GCF of Numerators as per given numbers 5119/943, 6774/523 is
GCF of Numerators i.e. for 5119,6774 is 1
LCM of denominators i.e. for 943,523 is 493189.
Thus, GCF of Fractions is 1/493189.Finally, GCF of Fractions for 5119/943, 6774/523 is 1/493189.