GCF of 2313/268, 9618/8369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2313/268, 9618/8369 i.e 3/2242892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2313/268, 9618/8369.
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 2313/268,9618/8369?
Given fractions are 2313/268,9618/8369
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 2313/268,9618/8369, numerators are 2313,9618
Denominators are 268,8369
The GCF of 2313,9618 is 3 .
LCM of 268,8369 is 2242892.
The greatest common factor of 2313/268,9618/8369 = [GCF of 2313,9618]/[LCM of 268,8369]= 3/2242892
Therefore, the GCF of 2313/268,9618/8369 is 3/2242892.
To find the highest common factor of 2313,9618, 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 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618
The HCF of 2313,9618 is 3.
Lets's calculate GCF of 2313,9618
| 3 | 2313, 9618 |
| 771, 3206 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2313,9618 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 9618
:1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618
Greatest Common Factor
We found the factors 2313,9618 . The biggest common factor number is the GCF number.
So the greatest common factor 2313,9618 is 3.
Lets's calculate LCM of 268,8369
Given numbers has no common factors except 1. So, there LCM is their product i.e 2242892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2242892
Therefore, the GCF of Fractions 2313/268,9618/8369 is 3/2242892
Least Common Multiple of 268,8369 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 268,8369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,8369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(268,8369) x common factors =1 x 1 = 1
LCM(268,8369) = ( 268 × 8369 ) / 1
LCM(268,8369) = 2242892 / 1
LCM(268,8369) = 2242892
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FAQs on GCF of Fractions of 2313/268, 9618/8369
1. What is the HCF of 2313,9618?
The HCF of 2313,9618 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 2313/268, 9618/8369?
Answer: GCF of Numerators as per given numbers 2313/268, 9618/8369 is
GCF of Numerators i.e. for 2313,9618 is 3
LCM of denominators i.e. for 268,8369 is 2242892.
Thus, GCF of Fractions is 3/2242892.Finally, GCF of Fractions for 2313/268, 9618/8369 is 3/2242892.