GCF of 362/360, 8116/489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 362/360, 8116/489 i.e 2/58680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 362/360, 8116/489.
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 362/360,8116/489?
Given fractions are 362/360,8116/489
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 362/360,8116/489, numerators are 362,8116
Denominators are 360,489
The GCF of 362,8116 is 2 .
LCM of 360,489 is 58680.
The greatest common factor of 362/360,8116/489 = [GCF of 362,8116]/[LCM of 360,489]= 2/58680
Therefore, the GCF of 362/360,8116/489 is 2/58680.
To find the highest common factor of 362,8116, we have to find the factors of both numbers and list the highest common factor.
The factors of 362 are 1, 2, 181, 362
The factors of 8116 are 1, 2, 4, 2029, 4058, 8116
The HCF of 362,8116 is 2.
Lets's calculate GCF of 362,8116
| 2 | 362, 8116 |
| 181, 4058 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 362,8116 By Matching Biggest Common Factor Method
Now, list down the factors of 362
:1,2,181,362
Now, list down the factors of 8116
:1,2,4,2029,4058,8116
Greatest Common Factor
We found the factors 362,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 362,8116 is 2.
Lets's calculate LCM of 360,489
| 3 | 360, 489 |
| 120, 163 |
∴ So the LCM of the given numbers is 3 x 120 x 163 = 58680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58680
Therefore, the GCF of Fractions 362/360,8116/489 is 2/58680
Least Common Multiple of 360,489 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 360,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,489) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(360,489) x common factors =3 x 1 = 3
LCM(360,489) = ( 360 × 489 ) / 3
LCM(360,489) = 176040 / 3
LCM(360,489) = 58680
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FAQs on GCF of Fractions of 362/360, 8116/489
1. What is the HCF of 362,8116?
The HCF of 362,8116 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 362/360, 8116/489?
Answer: GCF of Numerators as per given numbers 362/360, 8116/489 is
GCF of Numerators i.e. for 362,8116 is 2
LCM of denominators i.e. for 360,489 is 58680.
Thus, GCF of Fractions is 2/58680.Finally, GCF of Fractions for 362/360, 8116/489 is 2/58680.