GCF of 535/39, 720/234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 535/39, 720/234 i.e 5/234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 535/39, 720/234.
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 535/39,720/234?
Given fractions are 535/39,720/234
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 535/39,720/234, numerators are 535,720
Denominators are 39,234
The GCF of 535,720 is 5 .
LCM of 39,234 is 234.
The greatest common factor of 535/39,720/234 = [GCF of 535,720]/[LCM of 39,234]= 5/234
Therefore, the GCF of 535/39,720/234 is 5/234.
To find the highest common factor of 535,720, we have to find the factors of both numbers and list the highest common factor.
The factors of 535 are 1, 5, 107, 535
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 HCF of 535,720 is 5.
Lets's calculate GCF of 535,720
| 5 | 535, 720 |
| 107, 144 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 535,720 By Matching Biggest Common Factor Method
Now, list down the factors of 535
:1,5,107,535
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
Greatest Common Factor
We found the factors 535,720 . The biggest common factor number is the GCF number.
So the greatest common factor 535,720 is 5.
Lets's calculate LCM of 39,234
| 3 | 39, 234 |
| 13 | 13, 78 |
| 1, 6 |
∴ So the LCM of the given numbers is 3 x 13 x 1 x 6 = 234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/234
Therefore, the GCF of Fractions 535/39,720/234 is 5/234
Least Common Multiple of 39,234 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 39,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,234) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(39,234) x common factors =39 x 1 = 39
LCM(39,234) = ( 39 × 234 ) / 39
LCM(39,234) = 9126 / 39
LCM(39,234) = 234
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FAQs on GCF of Fractions of 535/39, 720/234
1. What is the HCF of 535,720?
The HCF of 535,720 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 535/39, 720/234?
Answer: GCF of Numerators as per given numbers 535/39, 720/234 is
GCF of Numerators i.e. for 535,720 is 5
LCM of denominators i.e. for 39,234 is 234.
Thus, GCF of Fractions is 5/234.Finally, GCF of Fractions for 535/39, 720/234 is 5/234.