GCF of 2313/872, 1602/6030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2313/872, 1602/6030 i.e 9/2629080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2313/872, 1602/6030.
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 2313/872,1602/6030?
Given fractions are 2313/872,1602/6030
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 2313/872,1602/6030, numerators are 2313,1602
Denominators are 872,6030
The GCF of 2313,1602 is 9 .
LCM of 872,6030 is 2629080.
The greatest common factor of 2313/872,1602/6030 = [GCF of 2313,1602]/[LCM of 872,6030]= 9/2629080
Therefore, the GCF of 2313/872,1602/6030 is 9/2629080.
To find the highest common factor of 2313,1602, we have to find the factors of both numbers and list the highest common factor.
The factors of 2313 are 1, 3, 9, 257, 771, 2313
The factors of 1602 are 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602
The HCF of 2313,1602 is 9.
Lets's calculate GCF of 2313,1602
| 3 | 2313, 1602 |
| 3 | 771, 534 |
| 257, 178 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2313,1602 By Matching Biggest Common Factor Method
Now, list down the factors of 2313
:1,3,9,257,771,2313
Now, list down the factors of 1602
:1,2,3,6,9,18,89,178,267,534,801,1602
Greatest Common Factor
We found the factors 2313,1602 . The biggest common factor number is the GCF number.
So the greatest common factor 2313,1602 is 9.
Lets's calculate LCM of 872,6030
| 2 | 872, 6030 |
| 436, 3015 |
∴ So the LCM of the given numbers is 2 x 436 x 3015 = 2629080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2629080
Therefore, the GCF of Fractions 2313/872,1602/6030 is 9/2629080
Least Common Multiple of 872,6030 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 872,6030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,6030) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(872,6030) x common factors =2 x 1 = 2
LCM(872,6030) = ( 872 × 6030 ) / 2
LCM(872,6030) = 5258160 / 2
LCM(872,6030) = 2629080
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2313/872, 1602/6030
1. What is the HCF of 2313,1602?
The HCF of 2313,1602 is 9
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 2313/872, 1602/6030?
Answer: GCF of Numerators as per given numbers 2313/872, 1602/6030 is
GCF of Numerators i.e. for 2313,1602 is 9
LCM of denominators i.e. for 872,6030 is 2629080.
Thus, GCF of Fractions is 9/2629080.Finally, GCF of Fractions for 2313/872, 1602/6030 is 9/2629080.