GCF of 408/727, 802/820, 404/816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 408/727, 802/820, 404/816 i.e 2/121612560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 408/727, 802/820, 404/816.
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 408/727,802/820,404/816?
Given fractions are 408/727,802/820,404/816
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 408/727,802/820,404/816, numerators are 408,802,404
Denominators are 727,820,816
The GCF of 408,802,404 is 2 .
LCM of 727,820,816 is 121612560.
The greatest common factor of 408/727,802/820,404/816 = [GCF of 408,802,404]/[LCM of 727,820,816]= 2/121612560
Therefore, the GCF of 408/727,802/820,404/816 is 2/121612560.
To find the highest common factor of 408,802,404, we have to find the factors of both numbers and list the highest common factor.
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The factors of 802 are 1, 2, 401, 802
The factors of 404 are 1, 2, 4, 101, 202, 404
The HCF of 408,802,404 is 2.
Lets's calculate GCF of 408,802,404
| 2 | 408, 802, 404 |
| 204, 401, 202 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 408,802,404 By Matching Biggest Common Factor Method
Now, list down the factors of 408
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Now, list down the factors of 802
:1,2,401,802
Now, list down the factors of 404
:1,2,4,101,202,404
Greatest Common Factor
We found the factors 408,802,404 . The biggest common factor number is the GCF number.
So the greatest common factor 408,802,404 is 2.
Lets's calculate LCM of 727,820,816
| 2 | 727, 820, 816 |
| 2 | 727, 410, 408 |
| 727, 205, 204 |
∴ So the LCM of the given numbers is 2 x 2 x 727 x 205 x 204 = 121612560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121612560
Therefore, the GCF of Fractions 408/727,802/820,404/816 is 2/121612560
Least Common Multiple of 727,820,816 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 727,820,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,820,816) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(727,820,816) x common factors =1 x 4 = 4
LCM(727,820,816) = ( 727 × 820 × 816 ) / 4
LCM(727,820,816) = 486450240 / 4
LCM(727,820,816) = 121612560
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FAQs on GCF of Fractions of 408/727, 802/820, 404/816
1. What is the HCF of 408,802,404?
The HCF of 408,802,404 is 2
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 408/727, 802/820, 404/816?
Answer: GCF of Numerators as per given numbers 408/727, 802/820, 404/816 is
GCF of Numerators i.e. for 408,802,404 is 2
LCM of denominators i.e. for 727,820,816 is 121612560.
Thus, GCF of Fractions is 2/121612560.Finally, GCF of Fractions for 408/727, 802/820, 404/816 is 2/121612560.