GCF of 145/161, 7670/389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 145/161, 7670/389 i.e 5/62629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/161, 7670/389.
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 145/161,7670/389?
Given fractions are 145/161,7670/389
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 145/161,7670/389, numerators are 145,7670
Denominators are 161,389
The GCF of 145,7670 is 5 .
LCM of 161,389 is 62629.
The greatest common factor of 145/161,7670/389 = [GCF of 145,7670]/[LCM of 161,389]= 5/62629
Therefore, the GCF of 145/161,7670/389 is 5/62629.
To find the highest common factor of 145,7670, we have to find the factors of both numbers and list the highest common factor.
The factors of 145 are 1, 5, 29, 145
The factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The HCF of 145,7670 is 5.
Lets's calculate GCF of 145,7670
| 5 | 145, 7670 |
| 29, 1534 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 145,7670 By Matching Biggest Common Factor Method
Now, list down the factors of 145
:1,5,29,145
Now, list down the factors of 7670
:1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Greatest Common Factor
We found the factors 145,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 145,7670 is 5.
Lets's calculate LCM of 161,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 62629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/62629
Therefore, the GCF of Fractions 145/161,7670/389 is 5/62629
Least Common Multiple of 161,389 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 161,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,389) x common factors =1 x 1 = 1
LCM(161,389) = ( 161 × 389 ) / 1
LCM(161,389) = 62629 / 1
LCM(161,389) = 62629
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FAQs on GCF of Fractions of 145/161, 7670/389
1. What is the HCF of 145,7670?
The HCF of 145,7670 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 145/161, 7670/389?
Answer: GCF of Numerators as per given numbers 145/161, 7670/389 is
GCF of Numerators i.e. for 145,7670 is 5
LCM of denominators i.e. for 161,389 is 62629.
Thus, GCF of Fractions is 5/62629.Finally, GCF of Fractions for 145/161, 7670/389 is 5/62629.