GCF of 7573/335, 6194/3769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7573/335, 6194/3769 i.e 1/1262615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7573/335, 6194/3769.
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 7573/335,6194/3769?
Given fractions are 7573/335,6194/3769
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 7573/335,6194/3769, numerators are 7573,6194
Denominators are 335,3769
The GCF of 7573,6194 is 1 .
LCM of 335,3769 is 1262615.
The greatest common factor of 7573/335,6194/3769 = [GCF of 7573,6194]/[LCM of 335,3769]= 1/1262615
Therefore, the GCF of 7573/335,6194/3769 is 1/1262615.
To find the highest common factor of 7573,6194, we have to find the factors of both numbers and list the highest common factor.
The factors of 7573 are 1, 7573
The factors of 6194 are 1, 2, 19, 38, 163, 326, 3097, 6194
The HCF of 7573,6194 is 1.
Lets's calculate GCF of 7573,6194
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7573,6194 By Matching Biggest Common Factor Method
Now, list down the factors of 7573
:1,7573
Now, list down the factors of 6194
:1,2,19,38,163,326,3097,6194
Greatest Common Factor
We found the factors 7573,6194 . The biggest common factor number is the GCF number.
So the greatest common factor 7573,6194 is 1.
Lets's calculate LCM of 335,3769
Given numbers has no common factors except 1. So, there LCM is their product i.e 1262615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1262615
Therefore, the GCF of Fractions 7573/335,6194/3769 is 1/1262615
Least Common Multiple of 335,3769 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 335,3769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,3769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,3769) x common factors =1 x 1 = 1
LCM(335,3769) = ( 335 × 3769 ) / 1
LCM(335,3769) = 1262615 / 1
LCM(335,3769) = 1262615
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FAQs on GCF of Fractions of 7573/335, 6194/3769
1. What is the HCF of 7573,6194?
The HCF of 7573,6194 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 7573/335, 6194/3769?
Answer: GCF of Numerators as per given numbers 7573/335, 6194/3769 is
GCF of Numerators i.e. for 7573,6194 is 1
LCM of denominators i.e. for 335,3769 is 1262615.
Thus, GCF of Fractions is 1/1262615.Finally, GCF of Fractions for 7573/335, 6194/3769 is 1/1262615.