GCF of 2313/743, 1887/8940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2313/743, 1887/8940 i.e 3/6642420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2313/743, 1887/8940.
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 2313/743,1887/8940?
Given fractions are 2313/743,1887/8940
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 2313/743,1887/8940, numerators are 2313,1887
Denominators are 743,8940
The GCF of 2313,1887 is 3 .
LCM of 743,8940 is 6642420.
The greatest common factor of 2313/743,1887/8940 = [GCF of 2313,1887]/[LCM of 743,8940]= 3/6642420
Therefore, the GCF of 2313/743,1887/8940 is 3/6642420.
To find the highest common factor of 2313,1887, 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 1887 are 1, 3, 17, 37, 51, 111, 629, 1887
The HCF of 2313,1887 is 3.
Lets's calculate GCF of 2313,1887
| 3 | 2313, 1887 |
| 771, 629 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2313,1887 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 1887
:1,3,17,37,51,111,629,1887
Greatest Common Factor
We found the factors 2313,1887 . The biggest common factor number is the GCF number.
So the greatest common factor 2313,1887 is 3.
Lets's calculate LCM of 743,8940
Given numbers has no common factors except 1. So, there LCM is their product i.e 6642420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6642420
Therefore, the GCF of Fractions 2313/743,1887/8940 is 3/6642420
Least Common Multiple of 743,8940 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 743,8940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,8940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,8940) x common factors =1 x 1 = 1
LCM(743,8940) = ( 743 × 8940 ) / 1
LCM(743,8940) = 6642420 / 1
LCM(743,8940) = 6642420
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FAQs on GCF of Fractions of 2313/743, 1887/8940
1. What is the HCF of 2313,1887?
The HCF of 2313,1887 is 3
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 2313/743, 1887/8940?
Answer: GCF of Numerators as per given numbers 2313/743, 1887/8940 is
GCF of Numerators i.e. for 2313,1887 is 3
LCM of denominators i.e. for 743,8940 is 6642420.
Thus, GCF of Fractions is 3/6642420.Finally, GCF of Fractions for 2313/743, 1887/8940 is 3/6642420.