Use our free GCF of Fractions Calculator tool to compute the GCF of 38/812, 72/607, 691/717 i.e 1/353397828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/812, 72/607, 691/717.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/812,72/607,691/717
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 38/812,72/607,691/717, numerators are 38,72,691
Denominators are 812,607,717
The GCF of 38,72,691 is 1 .
LCM of 812,607,717 is 353397828.
The greatest common factor of 38/812,72/607,691/717 = [GCF of 38,72,691]/[LCM of 812,607,717]= 1/353397828
Therefore, the GCF of 38/812,72/607,691/717 is 1/353397828.
To find the highest common factor of 38,72,691, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 691 are 1, 691
The HCF of 38,72,691 is 1.
Lets's calculate GCF of 38,72,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 691
:1,691
Greatest Common Factor
We found the factors 38,72,691 . The biggest common factor number is the GCF number.
So the greatest common factor 38,72,691 is 1.
Lets's calculate LCM of 812,607,717
Given numbers has no common factors except 1. So, there LCM is their product i.e 353397828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353397828
Therefore, the GCF of Fractions 38/812,72/607,691/717 is 1/353397828
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 812,607,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,607,717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,607,717) x common factors =1 x 1 = 1
LCM(812,607,717) = ( 812 × 607 × 717 ) / 1
LCM(812,607,717) = 353397828 / 1
LCM(812,607,717) = 353397828
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,72,691?
The HCF of 38,72,691 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 38/812, 72/607, 691/717?
Answer: GCF of Numerators as per given numbers 38/812, 72/607, 691/717 is
GCF of Numerators i.e. for 38,72,691 is 1
LCM of denominators i.e. for 812,607,717 is 353397828.
Thus, GCF of Fractions is 1/353397828.Finally, GCF of Fractions for 38/812, 72/607, 691/717 is 1/353397828.