GCF of 4360/219, 2245/9042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4360/219, 2245/9042 i.e 5/660066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4360/219, 2245/9042.
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 4360/219,2245/9042?
Given fractions are 4360/219,2245/9042
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 4360/219,2245/9042, numerators are 4360,2245
Denominators are 219,9042
The GCF of 4360,2245 is 5 .
LCM of 219,9042 is 660066.
The greatest common factor of 4360/219,2245/9042 = [GCF of 4360,2245]/[LCM of 219,9042]= 5/660066
Therefore, the GCF of 4360/219,2245/9042 is 5/660066.
To find the highest common factor of 4360,2245, we have to find the factors of both numbers and list the highest common factor.
The factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360
The factors of 2245 are 1, 5, 449, 2245
The HCF of 4360,2245 is 5.
Lets's calculate GCF of 4360,2245
| 5 | 4360, 2245 |
| 872, 449 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4360,2245 By Matching Biggest Common Factor Method
Now, list down the factors of 4360
:1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360
Now, list down the factors of 2245
:1,5,449,2245
Greatest Common Factor
We found the factors 4360,2245 . The biggest common factor number is the GCF number.
So the greatest common factor 4360,2245 is 5.
Lets's calculate LCM of 219,9042
| 3 | 219, 9042 |
| 73, 3014 |
∴ So the LCM of the given numbers is 3 x 73 x 3014 = 660066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/660066
Therefore, the GCF of Fractions 4360/219,2245/9042 is 5/660066
Least Common Multiple of 219,9042 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 219,9042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,9042) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,9042) x common factors =3 x 1 = 3
LCM(219,9042) = ( 219 × 9042 ) / 3
LCM(219,9042) = 1980198 / 3
LCM(219,9042) = 660066
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FAQs on GCF of Fractions of 4360/219, 2245/9042
1. What is the HCF of 4360,2245?
The HCF of 4360,2245 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 4360/219, 2245/9042?
Answer: GCF of Numerators as per given numbers 4360/219, 2245/9042 is
GCF of Numerators i.e. for 4360,2245 is 5
LCM of denominators i.e. for 219,9042 is 660066.
Thus, GCF of Fractions is 5/660066.Finally, GCF of Fractions for 4360/219, 2245/9042 is 5/660066.