Use our free GCF of Fractions Calculator tool to compute the GCF of 36/74, 519/79, 492/931 i.e 3/5442626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/74, 519/79, 492/931.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/74,519/79,492/931
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 36/74,519/79,492/931, numerators are 36,519,492
Denominators are 74,79,931
The GCF of 36,519,492 is 3 .
LCM of 74,79,931 is 5442626.
The greatest common factor of 36/74,519/79,492/931 = [GCF of 36,519,492]/[LCM of 74,79,931]= 3/5442626
Therefore, the GCF of 36/74,519/79,492/931 is 3/5442626.
To find the highest common factor of 36,519,492, 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 519 are 1, 3, 173, 519
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
The HCF of 36,519,492 is 3.
Lets's calculate GCF of 36,519,492
3 | 36, 519, 492 |
12, 173, 164 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 519
:1,3,173,519
Now, list down the factors of 492
:1,2,3,4,6,12,41,82,123,164,246,492
Greatest Common Factor
We found the factors 36,519,492 . The biggest common factor number is the GCF number.
So the greatest common factor 36,519,492 is 3.
Lets's calculate LCM of 74,79,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 5442626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5442626
Therefore, the GCF of Fractions 36/74,519/79,492/931 is 3/5442626
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 74,79,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,79,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,79,931) x common factors =1 x 1 = 1
LCM(74,79,931) = ( 74 × 79 × 931 ) / 1
LCM(74,79,931) = 5442626 / 1
LCM(74,79,931) = 5442626
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,519,492?
The HCF of 36,519,492 is 3
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 36/74, 519/79, 492/931?
Answer: GCF of Numerators as per given numbers 36/74, 519/79, 492/931 is
GCF of Numerators i.e. for 36,519,492 is 3
LCM of denominators i.e. for 74,79,931 is 5442626.
Thus, GCF of Fractions is 3/5442626.Finally, GCF of Fractions for 36/74, 519/79, 492/931 is 3/5442626.