GCF of 30/736, 116/365, 488/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/736, 116/365, 488/517 i.e 2/138886880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/736, 116/365, 488/517.
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 30/736,116/365,488/517?
Given fractions are 30/736,116/365,488/517
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 30/736,116/365,488/517, numerators are 30,116,488
Denominators are 736,365,517
The GCF of 30,116,488 is 2 .
LCM of 736,365,517 is 138886880.
The greatest common factor of 30/736,116/365,488/517 = [GCF of 30,116,488]/[LCM of 736,365,517]= 2/138886880
Therefore, the GCF of 30/736,116/365,488/517 is 2/138886880.
To find the highest common factor of 30,116,488, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 116 are 1, 2, 4, 29, 58, 116
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The HCF of 30,116,488 is 2.
Lets's calculate GCF of 30,116,488
| 2 | 30, 116, 488 |
| 15, 58, 244 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 30,116,488 By Matching Biggest Common Factor Method
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 116
:1,2,4,29,58,116
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 30,116,488 . The biggest common factor number is the GCF number.
So the greatest common factor 30,116,488 is 2.
Lets's calculate LCM of 736,365,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 138886880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138886880
Therefore, the GCF of Fractions 30/736,116/365,488/517 is 2/138886880
Least Common Multiple of 736,365,517 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 736,365,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,365,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,365,517) x common factors =1 x 1 = 1
LCM(736,365,517) = ( 736 × 365 × 517 ) / 1
LCM(736,365,517) = 138886880 / 1
LCM(736,365,517) = 138886880
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FAQs on GCF of Fractions of 30/736, 116/365, 488/517
1. What is the HCF of 30,116,488?
The HCF of 30,116,488 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 30/736, 116/365, 488/517?
Answer: GCF of Numerators as per given numbers 30/736, 116/365, 488/517 is
GCF of Numerators i.e. for 30,116,488 is 2
LCM of denominators i.e. for 736,365,517 is 138886880.
Thus, GCF of Fractions is 2/138886880.Finally, GCF of Fractions for 30/736, 116/365, 488/517 is 2/138886880.