Use our free GCF of Fractions Calculator tool to compute the GCF of 89/634, 106/714, 734/170 i.e 1/1131690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/634, 106/714, 734/170.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/634,106/714,734/170
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 89/634,106/714,734/170, numerators are 89,106,734
Denominators are 634,714,170
The GCF of 89,106,734 is 1 .
LCM of 634,714,170 is 1131690.
The greatest common factor of 89/634,106/714,734/170 = [GCF of 89,106,734]/[LCM of 634,714,170]= 1/1131690
Therefore, the GCF of 89/634,106/714,734/170 is 1/1131690.
To find the highest common factor of 89,106,734, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 106 are 1, 2, 53, 106
The factors of 734 are 1, 2, 367, 734
The HCF of 89,106,734 is 1.
Lets's calculate GCF of 89,106,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 89
:1,89
Now, list down the factors of 106
:1,2,53,106
Now, list down the factors of 734
:1,2,367,734
Greatest Common Factor
We found the factors 89,106,734 . The biggest common factor number is the GCF number.
So the greatest common factor 89,106,734 is 1.
Lets's calculate LCM of 634,714,170
2 | 634, 714, 170 |
17 | 317, 357, 85 |
317, 21, 5 |
∴ So the LCM of the given numbers is 2 x 17 x 317 x 21 x 5 = 1131690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1131690
Therefore, the GCF of Fractions 89/634,106/714,734/170 is 1/1131690
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 634,714,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,714,170) = 2
common factors(in case of two or more numbers have common factors) = 34
GCF(634,714,170) x common factors =2 x 34 = 68
LCM(634,714,170) = ( 634 × 714 × 170 ) / 68
LCM(634,714,170) = 76954920 / 68
LCM(634,714,170) = 1131690
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 89,106,734?
The HCF of 89,106,734 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 89/634, 106/714, 734/170?
Answer: GCF of Numerators as per given numbers 89/634, 106/714, 734/170 is
GCF of Numerators i.e. for 89,106,734 is 1
LCM of denominators i.e. for 634,714,170 is 1131690.
Thus, GCF of Fractions is 1/1131690.Finally, GCF of Fractions for 89/634, 106/714, 734/170 is 1/1131690.