GCF of 2358/357, 7722/8353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2358/357, 7722/8353 i.e 18/2982021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2358/357, 7722/8353.
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 2358/357,7722/8353?
Given fractions are 2358/357,7722/8353
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 2358/357,7722/8353, numerators are 2358,7722
Denominators are 357,8353
The GCF of 2358,7722 is 18 .
LCM of 357,8353 is 2982021.
The greatest common factor of 2358/357,7722/8353 = [GCF of 2358,7722]/[LCM of 357,8353]= 18/2982021
Therefore, the GCF of 2358/357,7722/8353 is 18/2982021.
To find the highest common factor of 2358,7722, we have to find the factors of both numbers and list the highest common factor.
The factors of 2358 are 1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358
The factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722
The HCF of 2358,7722 is 18.
Lets's calculate GCF of 2358,7722
| 2 | 2358, 7722 |
| 3 | 1179, 3861 |
| 3 | 393, 1287 |
| 131, 429 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 2358,7722 By Matching Biggest Common Factor Method
Now, list down the factors of 2358
:1,2,3,6,9,18,131,262,393,786,1179,2358
Now, list down the factors of 7722
:1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722
Greatest Common Factor
We found the factors 2358,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 2358,7722 is 18.
Lets's calculate LCM of 357,8353
Given numbers has no common factors except 1. So, there LCM is their product i.e 2982021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/2982021
Therefore, the GCF of Fractions 2358/357,7722/8353 is 18/2982021
Least Common Multiple of 357,8353 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 357,8353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,8353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,8353) x common factors =1 x 1 = 1
LCM(357,8353) = ( 357 × 8353 ) / 1
LCM(357,8353) = 2982021 / 1
LCM(357,8353) = 2982021
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FAQs on GCF of Fractions of 2358/357, 7722/8353
1. What is the HCF of 2358,7722?
The HCF of 2358,7722 is 18
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 2358/357, 7722/8353?
Answer: GCF of Numerators as per given numbers 2358/357, 7722/8353 is
GCF of Numerators i.e. for 2358,7722 is 18
LCM of denominators i.e. for 357,8353 is 2982021.
Thus, GCF of Fractions is 18/2982021.Finally, GCF of Fractions for 2358/357, 7722/8353 is 18/2982021.