GCF of 1993/131, 6219/7092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1993/131, 6219/7092 i.e 1/929052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1993/131, 6219/7092.
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 1993/131,6219/7092?
Given fractions are 1993/131,6219/7092
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 1993/131,6219/7092, numerators are 1993,6219
Denominators are 131,7092
The GCF of 1993,6219 is 1 .
LCM of 131,7092 is 929052.
The greatest common factor of 1993/131,6219/7092 = [GCF of 1993,6219]/[LCM of 131,7092]= 1/929052
Therefore, the GCF of 1993/131,6219/7092 is 1/929052.
To find the highest common factor of 1993,6219, we have to find the factors of both numbers and list the highest common factor.
The factors of 1993 are 1, 1993
The factors of 6219 are 1, 3, 9, 691, 2073, 6219
The HCF of 1993,6219 is 1.
Lets's calculate GCF of 1993,6219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1993,6219 By Matching Biggest Common Factor Method
Now, list down the factors of 1993
:1,1993
Now, list down the factors of 6219
:1,3,9,691,2073,6219
Greatest Common Factor
We found the factors 1993,6219 . The biggest common factor number is the GCF number.
So the greatest common factor 1993,6219 is 1.
Lets's calculate LCM of 131,7092
Given numbers has no common factors except 1. So, there LCM is their product i.e 929052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/929052
Therefore, the GCF of Fractions 1993/131,6219/7092 is 1/929052
Least Common Multiple of 131,7092 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 131,7092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,7092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,7092) x common factors =1 x 1 = 1
LCM(131,7092) = ( 131 × 7092 ) / 1
LCM(131,7092) = 929052 / 1
LCM(131,7092) = 929052
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FAQs on GCF of Fractions of 1993/131, 6219/7092
1. What is the HCF of 1993,6219?
The HCF of 1993,6219 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 1993/131, 6219/7092?
Answer: GCF of Numerators as per given numbers 1993/131, 6219/7092 is
GCF of Numerators i.e. for 1993,6219 is 1
LCM of denominators i.e. for 131,7092 is 929052.
Thus, GCF of Fractions is 1/929052.Finally, GCF of Fractions for 1993/131, 6219/7092 is 1/929052.