GCF of 958/17, 307/8029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 958/17, 307/8029 i.e 1/136493 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/17, 307/8029.
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 958/17,307/8029?
Given fractions are 958/17,307/8029
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 958/17,307/8029, numerators are 958,307
Denominators are 17,8029
The GCF of 958,307 is 1 .
LCM of 17,8029 is 136493.
The greatest common factor of 958/17,307/8029 = [GCF of 958,307]/[LCM of 17,8029]= 1/136493
Therefore, the GCF of 958/17,307/8029 is 1/136493.
To find the highest common factor of 958,307, we have to find the factors of both numbers and list the highest common factor.
The factors of 958 are 1, 2, 479, 958
The factors of 307 are 1, 307
The HCF of 958,307 is 1.
Lets's calculate GCF of 958,307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 958,307 By Matching Biggest Common Factor Method
Now, list down the factors of 958
:1,2,479,958
Now, list down the factors of 307
:1,307
Greatest Common Factor
We found the factors 958,307 . The biggest common factor number is the GCF number.
So the greatest common factor 958,307 is 1.
Lets's calculate LCM of 17,8029
Given numbers has no common factors except 1. So, there LCM is their product i.e 136493
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136493
Therefore, the GCF of Fractions 958/17,307/8029 is 1/136493
Least Common Multiple of 17,8029 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 17,8029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,8029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,8029) x common factors =1 x 1 = 1
LCM(17,8029) = ( 17 × 8029 ) / 1
LCM(17,8029) = 136493 / 1
LCM(17,8029) = 136493
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FAQs on GCF of Fractions of 958/17, 307/8029
1. What is the HCF of 958,307?
The HCF of 958,307 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 958/17, 307/8029?
Answer: GCF of Numerators as per given numbers 958/17, 307/8029 is
GCF of Numerators i.e. for 958,307 is 1
LCM of denominators i.e. for 17,8029 is 136493.
Thus, GCF of Fractions is 1/136493.Finally, GCF of Fractions for 958/17, 307/8029 is 1/136493.