Use our free GCF of Fractions Calculator tool to compute the GCF of 36/340, 34/639, 184/692 i.e 2/37585980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/340, 34/639, 184/692.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/340,34/639,184/692
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 36/340,34/639,184/692, numerators are 36,34,184
Denominators are 340,639,692
The GCF of 36,34,184 is 2 .
LCM of 340,639,692 is 37585980.
The greatest common factor of 36/340,34/639,184/692 = [GCF of 36,34,184]/[LCM of 340,639,692]= 2/37585980
Therefore, the GCF of 36/340,34/639,184/692 is 2/37585980.
To find the highest common factor of 36,34,184, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 34 are 1, 2, 17, 34
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184
The HCF of 36,34,184 is 2.
Lets's calculate GCF of 36,34,184
2 | 36, 34, 184 |
18, 17, 92 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 184
:1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 36,34,184 . The biggest common factor number is the GCF number.
So the greatest common factor 36,34,184 is 2.
Lets's calculate LCM of 340,639,692
2 | 340, 639, 692 |
2 | 170, 639, 346 |
85, 639, 173 |
∴ So the LCM of the given numbers is 2 x 2 x 85 x 639 x 173 = 37585980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37585980
Therefore, the GCF of Fractions 36/340,34/639,184/692 is 2/37585980
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 340,639,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,639,692) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(340,639,692) x common factors =1 x 4 = 4
LCM(340,639,692) = ( 340 × 639 × 692 ) / 4
LCM(340,639,692) = 150343920 / 4
LCM(340,639,692) = 37585980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,34,184?
The HCF of 36,34,184 is 2
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 36/340, 34/639, 184/692?
Answer: GCF of Numerators as per given numbers 36/340, 34/639, 184/692 is
GCF of Numerators i.e. for 36,34,184 is 2
LCM of denominators i.e. for 340,639,692 is 37585980.
Thus, GCF of Fractions is 2/37585980.Finally, GCF of Fractions for 36/340, 34/639, 184/692 is 2/37585980.