GCF of 145/397, 5315/347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 145/397, 5315/347 i.e 5/137759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/397, 5315/347.
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 145/397,5315/347?
Given fractions are 145/397,5315/347
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 145/397,5315/347, numerators are 145,5315
Denominators are 397,347
The GCF of 145,5315 is 5 .
LCM of 397,347 is 137759.
The greatest common factor of 145/397,5315/347 = [GCF of 145,5315]/[LCM of 397,347]= 5/137759
Therefore, the GCF of 145/397,5315/347 is 5/137759.
To find the highest common factor of 145,5315, 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 5315 are 1, 5, 1063, 5315
The HCF of 145,5315 is 5.
Lets's calculate GCF of 145,5315
| 5 | 145, 5315 |
| 29, 1063 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 145,5315 By Matching Biggest Common Factor Method
Now, list down the factors of 145
:1,5,29,145
Now, list down the factors of 5315
:1,5,1063,5315
Greatest Common Factor
We found the factors 145,5315 . The biggest common factor number is the GCF number.
So the greatest common factor 145,5315 is 5.
Lets's calculate LCM of 397,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 137759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/137759
Therefore, the GCF of Fractions 145/397,5315/347 is 5/137759
Least Common Multiple of 397,347 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 397,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,347) x common factors =1 x 1 = 1
LCM(397,347) = ( 397 × 347 ) / 1
LCM(397,347) = 137759 / 1
LCM(397,347) = 137759
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FAQs on GCF of Fractions of 145/397, 5315/347
1. What is the HCF of 145,5315?
The HCF of 145,5315 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 145/397, 5315/347?
Answer: GCF of Numerators as per given numbers 145/397, 5315/347 is
GCF of Numerators i.e. for 145,5315 is 5
LCM of denominators i.e. for 397,347 is 137759.
Thus, GCF of Fractions is 5/137759.Finally, GCF of Fractions for 145/397, 5315/347 is 5/137759.