GCF of 7135/123, 7371/8150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7135/123, 7371/8150 i.e 1/1002450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7135/123, 7371/8150.
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 7135/123,7371/8150?
Given fractions are 7135/123,7371/8150
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 7135/123,7371/8150, numerators are 7135,7371
Denominators are 123,8150
The GCF of 7135,7371 is 1 .
LCM of 123,8150 is 1002450.
The greatest common factor of 7135/123,7371/8150 = [GCF of 7135,7371]/[LCM of 123,8150]= 1/1002450
Therefore, the GCF of 7135/123,7371/8150 is 1/1002450.
To find the highest common factor of 7135,7371, we have to find the factors of both numbers and list the highest common factor.
The factors of 7135 are 1, 5, 1427, 7135
The factors of 7371 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371
The HCF of 7135,7371 is 1.
Lets's calculate GCF of 7135,7371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7135,7371 By Matching Biggest Common Factor Method
Now, list down the factors of 7135
:1,5,1427,7135
Now, list down the factors of 7371
:1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371
Greatest Common Factor
We found the factors 7135,7371 . The biggest common factor number is the GCF number.
So the greatest common factor 7135,7371 is 1.
Lets's calculate LCM of 123,8150
Given numbers has no common factors except 1. So, there LCM is their product i.e 1002450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1002450
Therefore, the GCF of Fractions 7135/123,7371/8150 is 1/1002450
Least Common Multiple of 123,8150 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 123,8150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,8150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,8150) x common factors =1 x 1 = 1
LCM(123,8150) = ( 123 × 8150 ) / 1
LCM(123,8150) = 1002450 / 1
LCM(123,8150) = 1002450
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FAQs on GCF of Fractions of 7135/123, 7371/8150
1. What is the HCF of 7135,7371?
The HCF of 7135,7371 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 7135/123, 7371/8150?
Answer: GCF of Numerators as per given numbers 7135/123, 7371/8150 is
GCF of Numerators i.e. for 7135,7371 is 1
LCM of denominators i.e. for 123,8150 is 1002450.
Thus, GCF of Fractions is 1/1002450.Finally, GCF of Fractions for 7135/123, 7371/8150 is 1/1002450.