GCF of 68/34, 580/33, 280/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 68/34, 580/33, 280/488 i.e 4/273768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/34, 580/33, 280/488.
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 68/34,580/33,280/488?
Given fractions are 68/34,580/33,280/488
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 68/34,580/33,280/488, numerators are 68,580,280
Denominators are 34,33,488
The GCF of 68,580,280 is 4 .
LCM of 34,33,488 is 273768.
The greatest common factor of 68/34,580/33,280/488 = [GCF of 68,580,280]/[LCM of 34,33,488]= 4/273768
Therefore, the GCF of 68/34,580/33,280/488 is 4/273768.
To find the highest common factor of 68,580,280, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The HCF of 68,580,280 is 4.
Lets's calculate GCF of 68,580,280
| 2 | 68, 580, 280 |
| 2 | 34, 290, 140 |
| 17, 145, 70 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 68,580,280 By Matching Biggest Common Factor Method
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 68,580,280 . The biggest common factor number is the GCF number.
So the greatest common factor 68,580,280 is 4.
Lets's calculate LCM of 34,33,488
| 2 | 34, 33, 488 |
| 17, 33, 244 |
∴ So the LCM of the given numbers is 2 x 17 x 33 x 244 = 273768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/273768
Therefore, the GCF of Fractions 68/34,580/33,280/488 is 4/273768
Least Common Multiple of 34,33,488 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 34,33,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,33,488) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,33,488) x common factors =1 x 2 = 2
LCM(34,33,488) = ( 34 × 33 × 488 ) / 2
LCM(34,33,488) = 547536 / 2
LCM(34,33,488) = 273768
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FAQs on GCF of Fractions of 68/34, 580/33, 280/488
1. What is the HCF of 68,580,280?
The HCF of 68,580,280 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 68/34, 580/33, 280/488?
Answer: GCF of Numerators as per given numbers 68/34, 580/33, 280/488 is
GCF of Numerators i.e. for 68,580,280 is 4
LCM of denominators i.e. for 34,33,488 is 273768.
Thus, GCF of Fractions is 4/273768.Finally, GCF of Fractions for 68/34, 580/33, 280/488 is 4/273768.