Use our free GCF of Fractions Calculator tool to compute the GCF of 720/152, 695/304 i.e 5/304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/152, 695/304.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/152,695/304
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 720/152,695/304, numerators are 720,695
Denominators are 152,304
The GCF of 720,695 is 5 .
LCM of 152,304 is 304.
The greatest common factor of 720/152,695/304 = [GCF of 720,695]/[LCM of 152,304]= 5/304
Therefore, the GCF of 720/152,695/304 is 5/304.
To find the highest common factor of 720,695, we have to find the factors of both numbers and list the highest common factor.
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 695 are 1, 5, 139, 695
The HCF of 720,695 is 5.
Lets's calculate GCF of 720,695
5 | 720, 695 |
144, 139 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 695
:1,5,139,695
Greatest Common Factor
We found the factors 720,695 . The biggest common factor number is the GCF number.
So the greatest common factor 720,695 is 5.
Lets's calculate LCM of 152,304
2 | 152, 304 |
2 | 76, 152 |
2 | 38, 76 |
19 | 19, 38 |
1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 1 x 2 = 304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/304
Therefore, the GCF of Fractions 720/152,695/304 is 5/304
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 152,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,304) = 152
common factors(in case of two or more numbers have common factors) = 1
GCF(152,304) x common factors =152 x 1 = 152
LCM(152,304) = ( 152 × 304 ) / 152
LCM(152,304) = 46208 / 152
LCM(152,304) = 304
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 720,695?
The HCF of 720,695 is 5
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 720/152, 695/304?
Answer: GCF of Numerators as per given numbers 720/152, 695/304 is
GCF of Numerators i.e. for 720,695 is 5
LCM of denominators i.e. for 152,304 is 304.
Thus, GCF of Fractions is 5/304.Finally, GCF of Fractions for 720/152, 695/304 is 5/304.