Use our free GCF of Fractions Calculator tool to compute the GCF of 370/864, 703/380 i.e 37/82080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/864, 703/380.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 370/864,703/380
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 370/864,703/380, numerators are 370,703
Denominators are 864,380
The GCF of 370,703 is 37 .
LCM of 864,380 is 82080.
The greatest common factor of 370/864,703/380 = [GCF of 370,703]/[LCM of 864,380]= 37/82080
Therefore, the GCF of 370/864,703/380 is 37/82080.
To find the highest common factor of 370,703, we have to find the factors of both numbers and list the highest common factor.
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 703 are 1, 19, 37, 703
The HCF of 370,703 is 37.
Lets's calculate GCF of 370,703
37 | 370, 703 |
10, 19 |
∴ So the GCF of the given numbers is 37 = 37
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 703
:1,19,37,703
Greatest Common Factor
We found the factors 370,703 . The biggest common factor number is the GCF number.
So the greatest common factor 370,703 is 37.
Lets's calculate LCM of 864,380
2 | 864, 380 |
2 | 432, 190 |
216, 95 |
∴ So the LCM of the given numbers is 2 x 2 x 216 x 95 = 82080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/82080
Therefore, the GCF of Fractions 370/864,703/380 is 37/82080
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 864,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,380) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(864,380) x common factors =4 x 1 = 4
LCM(864,380) = ( 864 × 380 ) / 4
LCM(864,380) = 328320 / 4
LCM(864,380) = 82080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 370,703?
The HCF of 370,703 is 37
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 370/864, 703/380?
Answer: GCF of Numerators as per given numbers 370/864, 703/380 is
GCF of Numerators i.e. for 370,703 is 37
LCM of denominators i.e. for 864,380 is 82080.
Thus, GCF of Fractions is 37/82080.Finally, GCF of Fractions for 370/864, 703/380 is 37/82080.