Use our free GCF of Fractions Calculator tool to compute the GCF of 97/939, 32/115, 706/749 i.e 1/80880765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/939, 32/115, 706/749.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/939,32/115,706/749
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 97/939,32/115,706/749, numerators are 97,32,706
Denominators are 939,115,749
The GCF of 97,32,706 is 1 .
LCM of 939,115,749 is 80880765.
The greatest common factor of 97/939,32/115,706/749 = [GCF of 97,32,706]/[LCM of 939,115,749]= 1/80880765
Therefore, the GCF of 97/939,32/115,706/749 is 1/80880765.
To find the highest common factor of 97,32,706, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 706 are 1, 2, 353, 706
The HCF of 97,32,706 is 1.
Lets's calculate GCF of 97,32,706
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 706
:1,2,353,706
Greatest Common Factor
We found the factors 97,32,706 . The biggest common factor number is the GCF number.
So the greatest common factor 97,32,706 is 1.
Lets's calculate LCM of 939,115,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 80880765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80880765
Therefore, the GCF of Fractions 97/939,32/115,706/749 is 1/80880765
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 939,115,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,115,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,115,749) x common factors =1 x 1 = 1
LCM(939,115,749) = ( 939 × 115 × 749 ) / 1
LCM(939,115,749) = 80880765 / 1
LCM(939,115,749) = 80880765
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,32,706?
The HCF of 97,32,706 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 97/939, 32/115, 706/749?
Answer: GCF of Numerators as per given numbers 97/939, 32/115, 706/749 is
GCF of Numerators i.e. for 97,32,706 is 1
LCM of denominators i.e. for 939,115,749 is 80880765.
Thus, GCF of Fractions is 1/80880765.Finally, GCF of Fractions for 97/939, 32/115, 706/749 is 1/80880765.