Use our free GCF of Fractions Calculator tool to compute the GCF of 358/872, 5145/3780 i.e 1/824040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 358/872, 5145/3780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 358/872,5145/3780
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 358/872,5145/3780, numerators are 358,5145
Denominators are 872,3780
The GCF of 358,5145 is 1 .
LCM of 872,3780 is 824040.
The greatest common factor of 358/872,5145/3780 = [GCF of 358,5145]/[LCM of 872,3780]= 1/824040
Therefore, the GCF of 358/872,5145/3780 is 1/824040.
To find the highest common factor of 358,5145, we have to find the factors of both numbers and list the highest common factor.
The factors of 358 are 1, 2, 179, 358
The factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145
The HCF of 358,5145 is 1.
Lets's calculate GCF of 358,5145
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 358
:1,2,179,358
Now, list down the factors of 5145
:1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145
Greatest Common Factor
We found the factors 358,5145 . The biggest common factor number is the GCF number.
So the greatest common factor 358,5145 is 1.
Lets's calculate LCM of 872,3780
2 | 872, 3780 |
2 | 436, 1890 |
218, 945 |
∴ So the LCM of the given numbers is 2 x 2 x 218 x 945 = 824040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/824040
Therefore, the GCF of Fractions 358/872,5145/3780 is 1/824040
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 872,3780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,3780) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(872,3780) x common factors =4 x 1 = 4
LCM(872,3780) = ( 872 × 3780 ) / 4
LCM(872,3780) = 3296160 / 4
LCM(872,3780) = 824040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 358,5145?
The HCF of 358,5145 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 358/872, 5145/3780?
Answer: GCF of Numerators as per given numbers 358/872, 5145/3780 is
GCF of Numerators i.e. for 358,5145 is 1
LCM of denominators i.e. for 872,3780 is 824040.
Thus, GCF of Fractions is 1/824040.Finally, GCF of Fractions for 358/872, 5145/3780 is 1/824040.