GCF of 7965/259, 9740/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7965/259, 9740/151 i.e 5/39109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7965/259, 9740/151.
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 7965/259,9740/151?
Given fractions are 7965/259,9740/151
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 7965/259,9740/151, numerators are 7965,9740
Denominators are 259,151
The GCF of 7965,9740 is 5 .
LCM of 259,151 is 39109.
The greatest common factor of 7965/259,9740/151 = [GCF of 7965,9740]/[LCM of 259,151]= 5/39109
Therefore, the GCF of 7965/259,9740/151 is 5/39109.
To find the highest common factor of 7965,9740, we have to find the factors of both numbers and list the highest common factor.
The factors of 7965 are 1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965
The factors of 9740 are 1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740
The HCF of 7965,9740 is 5.
Lets's calculate GCF of 7965,9740
| 5 | 7965, 9740 |
| 1593, 1948 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7965,9740 By Matching Biggest Common Factor Method
Now, list down the factors of 7965
:1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965
Now, list down the factors of 9740
:1,2,4,5,10,20,487,974,1948,2435,4870,9740
Greatest Common Factor
We found the factors 7965,9740 . The biggest common factor number is the GCF number.
So the greatest common factor 7965,9740 is 5.
Lets's calculate LCM of 259,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 39109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/39109
Therefore, the GCF of Fractions 7965/259,9740/151 is 5/39109
Least Common Multiple of 259,151 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 259,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,151) x common factors =1 x 1 = 1
LCM(259,151) = ( 259 × 151 ) / 1
LCM(259,151) = 39109 / 1
LCM(259,151) = 39109
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FAQs on GCF of Fractions of 7965/259, 9740/151
1. What is the HCF of 7965,9740?
The HCF of 7965,9740 is 5
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 7965/259, 9740/151?
Answer: GCF of Numerators as per given numbers 7965/259, 9740/151 is
GCF of Numerators i.e. for 7965,9740 is 5
LCM of denominators i.e. for 259,151 is 39109.
Thus, GCF of Fractions is 5/39109.Finally, GCF of Fractions for 7965/259, 9740/151 is 5/39109.