GCF of 720/655, 410/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 720/655, 410/235 i.e 10/30785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/655, 410/235.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 720/655,410/235?
Given fractions are 720/655,410/235
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 720/655,410/235, numerators are 720,410
Denominators are 655,235
The GCF of 720,410 is 10 .
LCM of 655,235 is 30785.
The greatest common factor of 720/655,410/235 = [GCF of 720,410]/[LCM of 655,235]= 10/30785
Therefore, the GCF of 720/655,410/235 is 10/30785.
To find the highest common factor of 720,410, 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 410 are 1, 2, 5, 10, 41, 82, 205, 410
The HCF of 720,410 is 10.
Lets's calculate GCF of 720,410
| 2 | 720, 410 |
| 5 | 360, 205 |
| 72, 41 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 720,410 By Matching Biggest Common Factor Method
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 410
:1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 720,410 . The biggest common factor number is the GCF number.
So the greatest common factor 720,410 is 10.
Lets's calculate LCM of 655,235
| 5 | 655, 235 |
| 131, 47 |
∴ So the LCM of the given numbers is 5 x 131 x 47 = 30785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/30785
Therefore, the GCF of Fractions 720/655,410/235 is 10/30785
Least Common Multiple of 655,235 with GCF Formula
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 655,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,235) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,235) x common factors =5 x 1 = 5
LCM(655,235) = ( 655 × 235 ) / 5
LCM(655,235) = 153925 / 5
LCM(655,235) = 30785
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FAQs on GCF of Fractions of 720/655, 410/235
1. What is the HCF of 720,410?
The HCF of 720,410 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 720/655, 410/235?
Answer: GCF of Numerators as per given numbers 720/655, 410/235 is
GCF of Numerators i.e. for 720,410 is 10
LCM of denominators i.e. for 655,235 is 30785.
Thus, GCF of Fractions is 10/30785.Finally, GCF of Fractions for 720/655, 410/235 is 10/30785.