Use our free GCF of Fractions Calculator tool to compute the GCF of 272/385, 605/696 i.e 1/267960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 272/385, 605/696.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 272/385,605/696
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 272/385,605/696, numerators are 272,605
Denominators are 385,696
The GCF of 272,605 is 1 .
LCM of 385,696 is 267960.
The greatest common factor of 272/385,605/696 = [GCF of 272,605]/[LCM of 385,696]= 1/267960
Therefore, the GCF of 272/385,605/696 is 1/267960.
To find the highest common factor of 272,605, we have to find the factors of both numbers and list the highest common factor.
The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
The factors of 605 are 1, 5, 11, 55, 121, 605
The HCF of 272,605 is 1.
Lets's calculate GCF of 272,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 272
:1,2,4,8,16,17,34,68,136,272
Now, list down the factors of 605
:1,5,11,55,121,605
Greatest Common Factor
We found the factors 272,605 . The biggest common factor number is the GCF number.
So the greatest common factor 272,605 is 1.
Lets's calculate LCM of 385,696
Given numbers has no common factors except 1. So, there LCM is their product i.e 267960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267960
Therefore, the GCF of Fractions 272/385,605/696 is 1/267960
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 385,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,696) x common factors =1 x 1 = 1
LCM(385,696) = ( 385 × 696 ) / 1
LCM(385,696) = 267960 / 1
LCM(385,696) = 267960
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 272,605?
The HCF of 272,605 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 272/385, 605/696?
Answer: GCF of Numerators as per given numbers 272/385, 605/696 is
GCF of Numerators i.e. for 272,605 is 1
LCM of denominators i.e. for 385,696 is 267960.
Thus, GCF of Fractions is 1/267960.Finally, GCF of Fractions for 272/385, 605/696 is 1/267960.