GCF of 9855/280, 6300/1753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9855/280, 6300/1753 i.e 45/490840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9855/280, 6300/1753.
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 9855/280,6300/1753?
Given fractions are 9855/280,6300/1753
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 9855/280,6300/1753, numerators are 9855,6300
Denominators are 280,1753
The GCF of 9855,6300 is 45 .
LCM of 280,1753 is 490840.
The greatest common factor of 9855/280,6300/1753 = [GCF of 9855,6300]/[LCM of 280,1753]= 45/490840
Therefore, the GCF of 9855/280,6300/1753 is 45/490840.
To find the highest common factor of 9855,6300, we have to find the factors of both numbers and list the highest common factor.
The factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855
The factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300
The HCF of 9855,6300 is 45.
Lets's calculate GCF of 9855,6300
| 3 | 9855, 6300 |
| 3 | 3285, 2100 |
| 5 | 1095, 700 |
| 219, 140 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 9855,6300 By Matching Biggest Common Factor Method
Now, list down the factors of 9855
:1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Now, list down the factors of 6300
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,126,140,150,175,180,210,225,252,300,315,350,420,450,525,630,700,900,1050,1260,1575,2100,3150,6300
Greatest Common Factor
We found the factors 9855,6300 . The biggest common factor number is the GCF number.
So the greatest common factor 9855,6300 is 45.
Lets's calculate LCM of 280,1753
Given numbers has no common factors except 1. So, there LCM is their product i.e 490840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/490840
Therefore, the GCF of Fractions 9855/280,6300/1753 is 45/490840
Least Common Multiple of 280,1753 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 280,1753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,1753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(280,1753) x common factors =1 x 1 = 1
LCM(280,1753) = ( 280 × 1753 ) / 1
LCM(280,1753) = 490840 / 1
LCM(280,1753) = 490840
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FAQs on GCF of Fractions of 9855/280, 6300/1753
1. What is the HCF of 9855,6300?
The HCF of 9855,6300 is 45
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 9855/280, 6300/1753?
Answer: GCF of Numerators as per given numbers 9855/280, 6300/1753 is
GCF of Numerators i.e. for 9855,6300 is 45
LCM of denominators i.e. for 280,1753 is 490840.
Thus, GCF of Fractions is 45/490840.Finally, GCF of Fractions for 9855/280, 6300/1753 is 45/490840.