GCF of 4360/123, 7313/1812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4360/123, 7313/1812 i.e 1/74292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4360/123, 7313/1812.
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 4360/123,7313/1812?
Given fractions are 4360/123,7313/1812
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 4360/123,7313/1812, numerators are 4360,7313
Denominators are 123,1812
The GCF of 4360,7313 is 1 .
LCM of 123,1812 is 74292.
The greatest common factor of 4360/123,7313/1812 = [GCF of 4360,7313]/[LCM of 123,1812]= 1/74292
Therefore, the GCF of 4360/123,7313/1812 is 1/74292.
To find the highest common factor of 4360,7313, 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 7313 are 1, 71, 103, 7313
The HCF of 4360,7313 is 1.
Lets's calculate GCF of 4360,7313
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4360,7313 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 7313
:1,71,103,7313
Greatest Common Factor
We found the factors 4360,7313 . The biggest common factor number is the GCF number.
So the greatest common factor 4360,7313 is 1.
Lets's calculate LCM of 123,1812
| 3 | 123, 1812 |
| 41, 604 |
∴ So the LCM of the given numbers is 3 x 41 x 604 = 74292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74292
Therefore, the GCF of Fractions 4360/123,7313/1812 is 1/74292
Least Common Multiple of 123,1812 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 123,1812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,1812) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,1812) x common factors =3 x 1 = 3
LCM(123,1812) = ( 123 × 1812 ) / 3
LCM(123,1812) = 222876 / 3
LCM(123,1812) = 74292
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FAQs on GCF of Fractions of 4360/123, 7313/1812
1. What is the HCF of 4360,7313?
The HCF of 4360,7313 is 1
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 4360/123, 7313/1812?
Answer: GCF of Numerators as per given numbers 4360/123, 7313/1812 is
GCF of Numerators i.e. for 4360,7313 is 1
LCM of denominators i.e. for 123,1812 is 74292.
Thus, GCF of Fractions is 1/74292.Finally, GCF of Fractions for 4360/123, 7313/1812 is 1/74292.