GCF of 2985/152, 8820/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2985/152, 8820/217 i.e 15/32984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2985/152, 8820/217.
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 2985/152,8820/217?
Given fractions are 2985/152,8820/217
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 2985/152,8820/217, numerators are 2985,8820
Denominators are 152,217
The GCF of 2985,8820 is 15 .
LCM of 152,217 is 32984.
The greatest common factor of 2985/152,8820/217 = [GCF of 2985,8820]/[LCM of 152,217]= 15/32984
Therefore, the GCF of 2985/152,8820/217 is 15/32984.
To find the highest common factor of 2985,8820, we have to find the factors of both numbers and list the highest common factor.
The factors of 2985 are 1, 3, 5, 15, 199, 597, 995, 2985
The factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820
The HCF of 2985,8820 is 15.
Lets's calculate GCF of 2985,8820
| 3 | 2985, 8820 |
| 5 | 995, 2940 |
| 199, 588 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2985,8820 By Matching Biggest Common Factor Method
Now, list down the factors of 2985
:1,3,5,15,199,597,995,2985
Now, list down the factors of 8820
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820
Greatest Common Factor
We found the factors 2985,8820 . The biggest common factor number is the GCF number.
So the greatest common factor 2985,8820 is 15.
Lets's calculate LCM of 152,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 32984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/32984
Therefore, the GCF of Fractions 2985/152,8820/217 is 15/32984
Least Common Multiple of 152,217 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 152,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(152,217) x common factors =1 x 1 = 1
LCM(152,217) = ( 152 × 217 ) / 1
LCM(152,217) = 32984 / 1
LCM(152,217) = 32984
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FAQs on GCF of Fractions of 2985/152, 8820/217
1. What is the HCF of 2985,8820?
The HCF of 2985,8820 is 15
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 2985/152, 8820/217?
Answer: GCF of Numerators as per given numbers 2985/152, 8820/217 is
GCF of Numerators i.e. for 2985,8820 is 15
LCM of denominators i.e. for 152,217 is 32984.
Thus, GCF of Fractions is 15/32984.Finally, GCF of Fractions for 2985/152, 8820/217 is 15/32984.