Use our free GCF of Fractions Calculator tool to compute the GCF of 720/925, 730/528 i.e 10/488400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/925, 730/528.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/925,730/528
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 720/925,730/528, numerators are 720,730
Denominators are 925,528
The GCF of 720,730 is 10 .
LCM of 925,528 is 488400.
The greatest common factor of 720/925,730/528 = [GCF of 720,730]/[LCM of 925,528]= 10/488400
Therefore, the GCF of 720/925,730/528 is 10/488400.
To find the highest common factor of 720,730, 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 730 are 1, 2, 5, 10, 73, 146, 365, 730
The HCF of 720,730 is 10.
Lets's calculate GCF of 720,730
2 | 720, 730 |
5 | 360, 365 |
72, 73 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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 730
:1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 720,730 . The biggest common factor number is the GCF number.
So the greatest common factor 720,730 is 10.
Lets's calculate LCM of 925,528
Given numbers has no common factors except 1. So, there LCM is their product i.e 488400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/488400
Therefore, the GCF of Fractions 720/925,730/528 is 10/488400
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 925,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,528) x common factors =1 x 1 = 1
LCM(925,528) = ( 925 × 528 ) / 1
LCM(925,528) = 488400 / 1
LCM(925,528) = 488400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 720,730?
The HCF of 720,730 is 10
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 720/925, 730/528?
Answer: GCF of Numerators as per given numbers 720/925, 730/528 is
GCF of Numerators i.e. for 720,730 is 10
LCM of denominators i.e. for 925,528 is 488400.
Thus, GCF of Fractions is 10/488400.Finally, GCF of Fractions for 720/925, 730/528 is 10/488400.