GCF of 485/945, 8580/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 485/945, 8580/178 i.e 5/168210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 485/945, 8580/178.
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 485/945,8580/178?
Given fractions are 485/945,8580/178
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 485/945,8580/178, numerators are 485,8580
Denominators are 945,178
The GCF of 485,8580 is 5 .
LCM of 945,178 is 168210.
The greatest common factor of 485/945,8580/178 = [GCF of 485,8580]/[LCM of 945,178]= 5/168210
Therefore, the GCF of 485/945,8580/178 is 5/168210.
To find the highest common factor of 485,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 485 are 1, 5, 97, 485
The factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580
The HCF of 485,8580 is 5.
Lets's calculate GCF of 485,8580
| 5 | 485, 8580 |
| 97, 1716 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 485,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 485
:1,5,97,485
Now, list down the factors of 8580
:1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Greatest Common Factor
We found the factors 485,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 485,8580 is 5.
Lets's calculate LCM of 945,178
Given numbers has no common factors except 1. So, there LCM is their product i.e 168210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/168210
Therefore, the GCF of Fractions 485/945,8580/178 is 5/168210
Least Common Multiple of 945,178 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 945,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(945,178) x common factors =1 x 1 = 1
LCM(945,178) = ( 945 × 178 ) / 1
LCM(945,178) = 168210 / 1
LCM(945,178) = 168210
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FAQs on GCF of Fractions of 485/945, 8580/178
1. What is the HCF of 485,8580?
The HCF of 485,8580 is 5
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 485/945, 8580/178?
Answer: GCF of Numerators as per given numbers 485/945, 8580/178 is
GCF of Numerators i.e. for 485,8580 is 5
LCM of denominators i.e. for 945,178 is 168210.
Thus, GCF of Fractions is 5/168210.Finally, GCF of Fractions for 485/945, 8580/178 is 5/168210.