GCF of 3618/220, 4304/8907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3618/220, 4304/8907 i.e 2/1959540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3618/220, 4304/8907.
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 3618/220,4304/8907?
Given fractions are 3618/220,4304/8907
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 3618/220,4304/8907, numerators are 3618,4304
Denominators are 220,8907
The GCF of 3618,4304 is 2 .
LCM of 220,8907 is 1959540.
The greatest common factor of 3618/220,4304/8907 = [GCF of 3618,4304]/[LCM of 220,8907]= 2/1959540
Therefore, the GCF of 3618/220,4304/8907 is 2/1959540.
To find the highest common factor of 3618,4304, we have to find the factors of both numbers and list the highest common factor.
The factors of 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618
The factors of 4304 are 1, 2, 4, 8, 16, 269, 538, 1076, 2152, 4304
The HCF of 3618,4304 is 2.
Lets's calculate GCF of 3618,4304
| 2 | 3618, 4304 |
| 1809, 2152 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3618,4304 By Matching Biggest Common Factor Method
Now, list down the factors of 3618
:1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618
Now, list down the factors of 4304
:1,2,4,8,16,269,538,1076,2152,4304
Greatest Common Factor
We found the factors 3618,4304 . The biggest common factor number is the GCF number.
So the greatest common factor 3618,4304 is 2.
Lets's calculate LCM of 220,8907
Given numbers has no common factors except 1. So, there LCM is their product i.e 1959540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1959540
Therefore, the GCF of Fractions 3618/220,4304/8907 is 2/1959540
Least Common Multiple of 220,8907 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 220,8907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,8907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,8907) x common factors =1 x 1 = 1
LCM(220,8907) = ( 220 × 8907 ) / 1
LCM(220,8907) = 1959540 / 1
LCM(220,8907) = 1959540
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3618/220, 4304/8907
1. What is the HCF of 3618,4304?
The HCF of 3618,4304 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 3618/220, 4304/8907?
Answer: GCF of Numerators as per given numbers 3618/220, 4304/8907 is
GCF of Numerators i.e. for 3618,4304 is 2
LCM of denominators i.e. for 220,8907 is 1959540.
Thus, GCF of Fractions is 2/1959540.Finally, GCF of Fractions for 3618/220, 4304/8907 is 2/1959540.