GCF of 315/467, 677/291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 315/467, 677/291 i.e 1/135897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 315/467, 677/291.
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 315/467,677/291?
Given fractions are 315/467,677/291
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 315/467,677/291, numerators are 315,677
Denominators are 467,291
The GCF of 315,677 is 1 .
LCM of 467,291 is 135897.
The greatest common factor of 315/467,677/291 = [GCF of 315,677]/[LCM of 467,291]= 1/135897
Therefore, the GCF of 315/467,677/291 is 1/135897.
To find the highest common factor of 315,677, we have to find the factors of both numbers and list the highest common factor.
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The factors of 677 are 1, 677
The HCF of 315,677 is 1.
Lets's calculate GCF of 315,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 315,677 By Matching Biggest Common Factor Method
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Now, list down the factors of 677
:1,677
Greatest Common Factor
We found the factors 315,677 . The biggest common factor number is the GCF number.
So the greatest common factor 315,677 is 1.
Lets's calculate LCM of 467,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 135897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135897
Therefore, the GCF of Fractions 315/467,677/291 is 1/135897
Least Common Multiple of 467,291 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 467,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,291) x common factors =1 x 1 = 1
LCM(467,291) = ( 467 × 291 ) / 1
LCM(467,291) = 135897 / 1
LCM(467,291) = 135897
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FAQs on GCF of Fractions of 315/467, 677/291
1. What is the HCF of 315,677?
The HCF of 315,677 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 315/467, 677/291?
Answer: GCF of Numerators as per given numbers 315/467, 677/291 is
GCF of Numerators i.e. for 315,677 is 1
LCM of denominators i.e. for 467,291 is 135897.
Thus, GCF of Fractions is 1/135897.Finally, GCF of Fractions for 315/467, 677/291 is 1/135897.