Use our free GCF of Fractions Calculator tool to compute the GCF of 35/805, 120/928, 179/685 i.e 1/102344480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/805, 120/928, 179/685.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/805,120/928,179/685
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 35/805,120/928,179/685, numerators are 35,120,179
Denominators are 805,928,685
The GCF of 35,120,179 is 1 .
LCM of 805,928,685 is 102344480.
The greatest common factor of 35/805,120/928,179/685 = [GCF of 35,120,179]/[LCM of 805,928,685]= 1/102344480
Therefore, the GCF of 35/805,120/928,179/685 is 1/102344480.
To find the highest common factor of 35,120,179, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The factors of 179 are 1, 179
The HCF of 35,120,179 is 1.
Lets's calculate GCF of 35,120,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Now, list down the factors of 179
:1,179
Greatest Common Factor
We found the factors 35,120,179 . The biggest common factor number is the GCF number.
So the greatest common factor 35,120,179 is 1.
Lets's calculate LCM of 805,928,685
5 | 805, 928, 685 |
161, 928, 137 |
∴ So the LCM of the given numbers is 5 x 161 x 928 x 137 = 102344480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102344480
Therefore, the GCF of Fractions 35/805,120/928,179/685 is 1/102344480
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 805,928,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,928,685) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(805,928,685) x common factors =1 x 5 = 5
LCM(805,928,685) = ( 805 × 928 × 685 ) / 5
LCM(805,928,685) = 511722400 / 5
LCM(805,928,685) = 102344480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,120,179?
The HCF of 35,120,179 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 35/805, 120/928, 179/685?
Answer: GCF of Numerators as per given numbers 35/805, 120/928, 179/685 is
GCF of Numerators i.e. for 35,120,179 is 1
LCM of denominators i.e. for 805,928,685 is 102344480.
Thus, GCF of Fractions is 1/102344480.Finally, GCF of Fractions for 35/805, 120/928, 179/685 is 1/102344480.