GCF of 755/65, 343/275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 755/65, 343/275 i.e 1/3575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 755/65, 343/275.
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 755/65,343/275?
Given fractions are 755/65,343/275
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 755/65,343/275, numerators are 755,343
Denominators are 65,275
The GCF of 755,343 is 1 .
LCM of 65,275 is 3575.
The greatest common factor of 755/65,343/275 = [GCF of 755,343]/[LCM of 65,275]= 1/3575
Therefore, the GCF of 755/65,343/275 is 1/3575.
To find the highest common factor of 755,343, we have to find the factors of both numbers and list the highest common factor.
The factors of 755 are 1, 5, 151, 755
The factors of 343 are 1, 7, 49, 343
The HCF of 755,343 is 1.
Lets's calculate GCF of 755,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 755,343 By Matching Biggest Common Factor Method
Now, list down the factors of 755
:1,5,151,755
Now, list down the factors of 343
:1,7,49,343
Greatest Common Factor
We found the factors 755,343 . The biggest common factor number is the GCF number.
So the greatest common factor 755,343 is 1.
Lets's calculate LCM of 65,275
| 5 | 65, 275 |
| 13, 55 |
∴ So the LCM of the given numbers is 5 x 13 x 55 = 3575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3575
Therefore, the GCF of Fractions 755/65,343/275 is 1/3575
Least Common Multiple of 65,275 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 65,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,275) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(65,275) x common factors =5 x 1 = 5
LCM(65,275) = ( 65 × 275 ) / 5
LCM(65,275) = 17875 / 5
LCM(65,275) = 3575
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FAQs on GCF of Fractions of 755/65, 343/275
1. What is the HCF of 755,343?
The HCF of 755,343 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 755/65, 343/275?
Answer: GCF of Numerators as per given numbers 755/65, 343/275 is
GCF of Numerators i.e. for 755,343 is 1
LCM of denominators i.e. for 65,275 is 3575.
Thus, GCF of Fractions is 1/3575.Finally, GCF of Fractions for 755/65, 343/275 is 1/3575.