Use our free GCF of Fractions Calculator tool to compute the GCF of 23/308, 112/579, 377/521 i.e 1/92910972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/308, 112/579, 377/521.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/308,112/579,377/521
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 23/308,112/579,377/521, numerators are 23,112,377
Denominators are 308,579,521
The GCF of 23,112,377 is 1 .
LCM of 308,579,521 is 92910972.
The greatest common factor of 23/308,112/579,377/521 = [GCF of 23,112,377]/[LCM of 308,579,521]= 1/92910972
Therefore, the GCF of 23/308,112/579,377/521 is 1/92910972.
To find the highest common factor of 23,112,377, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The factors of 377 are 1, 13, 29, 377
The HCF of 23,112,377 is 1.
Lets's calculate GCF of 23,112,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 23
:1,23
Now, list down the factors of 112
:1,2,4,7,8,14,16,28,56,112
Now, list down the factors of 377
:1,13,29,377
Greatest Common Factor
We found the factors 23,112,377 . The biggest common factor number is the GCF number.
So the greatest common factor 23,112,377 is 1.
Lets's calculate LCM of 308,579,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 92910972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92910972
Therefore, the GCF of Fractions 23/308,112/579,377/521 is 1/92910972
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 308,579,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,579,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(308,579,521) x common factors =1 x 1 = 1
LCM(308,579,521) = ( 308 × 579 × 521 ) / 1
LCM(308,579,521) = 92910972 / 1
LCM(308,579,521) = 92910972
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 23,112,377?
The HCF of 23,112,377 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 23/308, 112/579, 377/521?
Answer: GCF of Numerators as per given numbers 23/308, 112/579, 377/521 is
GCF of Numerators i.e. for 23,112,377 is 1
LCM of denominators i.e. for 308,579,521 is 92910972.
Thus, GCF of Fractions is 1/92910972.Finally, GCF of Fractions for 23/308, 112/579, 377/521 is 1/92910972.