GCF of 6415/759, 9258/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6415/759, 9258/170 i.e 1/129030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6415/759, 9258/170.
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 6415/759,9258/170?
Given fractions are 6415/759,9258/170
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 6415/759,9258/170, numerators are 6415,9258
Denominators are 759,170
The GCF of 6415,9258 is 1 .
LCM of 759,170 is 129030.
The greatest common factor of 6415/759,9258/170 = [GCF of 6415,9258]/[LCM of 759,170]= 1/129030
Therefore, the GCF of 6415/759,9258/170 is 1/129030.
To find the highest common factor of 6415,9258, we have to find the factors of both numbers and list the highest common factor.
The factors of 6415 are 1, 5, 1283, 6415
The factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258
The HCF of 6415,9258 is 1.
Lets's calculate GCF of 6415,9258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6415,9258 By Matching Biggest Common Factor Method
Now, list down the factors of 6415
:1,5,1283,6415
Now, list down the factors of 9258
:1,2,3,6,1543,3086,4629,9258
Greatest Common Factor
We found the factors 6415,9258 . The biggest common factor number is the GCF number.
So the greatest common factor 6415,9258 is 1.
Lets's calculate LCM of 759,170
Given numbers has no common factors except 1. So, there LCM is their product i.e 129030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129030
Therefore, the GCF of Fractions 6415/759,9258/170 is 1/129030
Least Common Multiple of 759,170 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 759,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,170) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,170) x common factors =1 x 1 = 1
LCM(759,170) = ( 759 × 170 ) / 1
LCM(759,170) = 129030 / 1
LCM(759,170) = 129030
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FAQs on GCF of Fractions of 6415/759, 9258/170
1. What is the HCF of 6415,9258?
The HCF of 6415,9258 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 6415/759, 9258/170?
Answer: GCF of Numerators as per given numbers 6415/759, 9258/170 is
GCF of Numerators i.e. for 6415,9258 is 1
LCM of denominators i.e. for 759,170 is 129030.
Thus, GCF of Fractions is 1/129030.Finally, GCF of Fractions for 6415/759, 9258/170 is 1/129030.