GCF of 7167/193, 6395/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7167/193, 6395/758 i.e 1/146294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7167/193, 6395/758.
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 7167/193,6395/758?
Given fractions are 7167/193,6395/758
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 7167/193,6395/758, numerators are 7167,6395
Denominators are 193,758
The GCF of 7167,6395 is 1 .
LCM of 193,758 is 146294.
The greatest common factor of 7167/193,6395/758 = [GCF of 7167,6395]/[LCM of 193,758]= 1/146294
Therefore, the GCF of 7167/193,6395/758 is 1/146294.
To find the highest common factor of 7167,6395, we have to find the factors of both numbers and list the highest common factor.
The factors of 7167 are 1, 3, 2389, 7167
The factors of 6395 are 1, 5, 1279, 6395
The HCF of 7167,6395 is 1.
Lets's calculate GCF of 7167,6395
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7167,6395 By Matching Biggest Common Factor Method
Now, list down the factors of 7167
:1,3,2389,7167
Now, list down the factors of 6395
:1,5,1279,6395
Greatest Common Factor
We found the factors 7167,6395 . The biggest common factor number is the GCF number.
So the greatest common factor 7167,6395 is 1.
Lets's calculate LCM of 193,758
Given numbers has no common factors except 1. So, there LCM is their product i.e 146294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146294
Therefore, the GCF of Fractions 7167/193,6395/758 is 1/146294
Least Common Multiple of 193,758 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 193,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,758) x common factors =1 x 1 = 1
LCM(193,758) = ( 193 × 758 ) / 1
LCM(193,758) = 146294 / 1
LCM(193,758) = 146294
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FAQs on GCF of Fractions of 7167/193, 6395/758
1. What is the HCF of 7167,6395?
The HCF of 7167,6395 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 7167/193, 6395/758?
Answer: GCF of Numerators as per given numbers 7167/193, 6395/758 is
GCF of Numerators i.e. for 7167,6395 is 1
LCM of denominators i.e. for 193,758 is 146294.
Thus, GCF of Fractions is 1/146294.Finally, GCF of Fractions for 7167/193, 6395/758 is 1/146294.