Use our free GCF of Fractions Calculator tool to compute the GCF of 86/845, 34/325, 597/106 i.e 1/447850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/845, 34/325, 597/106.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/845,34/325,597/106
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 86/845,34/325,597/106, numerators are 86,34,597
Denominators are 845,325,106
The GCF of 86,34,597 is 1 .
LCM of 845,325,106 is 447850.
The greatest common factor of 86/845,34/325,597/106 = [GCF of 86,34,597]/[LCM of 845,325,106]= 1/447850
Therefore, the GCF of 86/845,34/325,597/106 is 1/447850.
To find the highest common factor of 86,34,597, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 34 are 1, 2, 17, 34
The factors of 597 are 1, 3, 199, 597
The HCF of 86,34,597 is 1.
Lets's calculate GCF of 86,34,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 597
:1,3,199,597
Greatest Common Factor
We found the factors 86,34,597 . The biggest common factor number is the GCF number.
So the greatest common factor 86,34,597 is 1.
Lets's calculate LCM of 845,325,106
5 | 845, 325, 106 |
13 | 169, 65, 106 |
13, 5, 106 |
∴ So the LCM of the given numbers is 5 x 13 x 13 x 5 x 106 = 447850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447850
Therefore, the GCF of Fractions 86/845,34/325,597/106 is 1/447850
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 845,325,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,325,106) = 1
common factors(in case of two or more numbers have common factors) = 65
GCF(845,325,106) x common factors =1 x 65 = 65
LCM(845,325,106) = ( 845 × 325 × 106 ) / 65
LCM(845,325,106) = 29110250 / 65
LCM(845,325,106) = 447850
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,34,597?
The HCF of 86,34,597 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 86/845, 34/325, 597/106?
Answer: GCF of Numerators as per given numbers 86/845, 34/325, 597/106 is
GCF of Numerators i.e. for 86,34,597 is 1
LCM of denominators i.e. for 845,325,106 is 447850.
Thus, GCF of Fractions is 1/447850.Finally, GCF of Fractions for 86/845, 34/325, 597/106 is 1/447850.