GCF of 720/414, 5932/387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 720/414, 5932/387 i.e 4/17802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/414, 5932/387.
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 720/414,5932/387?
Given fractions are 720/414,5932/387
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 720/414,5932/387, numerators are 720,5932
Denominators are 414,387
The GCF of 720,5932 is 4 .
LCM of 414,387 is 17802.
The greatest common factor of 720/414,5932/387 = [GCF of 720,5932]/[LCM of 414,387]= 4/17802
Therefore, the GCF of 720/414,5932/387 is 4/17802.
To find the highest common factor of 720,5932, 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 5932 are 1, 2, 4, 1483, 2966, 5932
The HCF of 720,5932 is 4.
Lets's calculate GCF of 720,5932
| 2 | 720, 5932 |
| 2 | 360, 2966 |
| 180, 1483 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 720,5932 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 5932
:1,2,4,1483,2966,5932
Greatest Common Factor
We found the factors 720,5932 . The biggest common factor number is the GCF number.
So the greatest common factor 720,5932 is 4.
Lets's calculate LCM of 414,387
| 3 | 414, 387 |
| 3 | 138, 129 |
| 46, 43 |
∴ So the LCM of the given numbers is 3 x 3 x 46 x 43 = 17802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17802
Therefore, the GCF of Fractions 720/414,5932/387 is 4/17802
Least Common Multiple of 414,387 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 414,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,387) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(414,387) x common factors =9 x 1 = 9
LCM(414,387) = ( 414 × 387 ) / 9
LCM(414,387) = 160218 / 9
LCM(414,387) = 17802
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FAQs on GCF of Fractions of 720/414, 5932/387
1. What is the HCF of 720,5932?
The HCF of 720,5932 is 4
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 720/414, 5932/387?
Answer: GCF of Numerators as per given numbers 720/414, 5932/387 is
GCF of Numerators i.e. for 720,5932 is 4
LCM of denominators i.e. for 414,387 is 17802.
Thus, GCF of Fractions is 4/17802.Finally, GCF of Fractions for 720/414, 5932/387 is 4/17802.