GCF of 2358/952, 9216/4129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2358/952, 9216/4129 i.e 18/3930808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2358/952, 9216/4129.
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 2358/952,9216/4129?
Given fractions are 2358/952,9216/4129
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 2358/952,9216/4129, numerators are 2358,9216
Denominators are 952,4129
The GCF of 2358,9216 is 18 .
LCM of 952,4129 is 3930808.
The greatest common factor of 2358/952,9216/4129 = [GCF of 2358,9216]/[LCM of 952,4129]= 18/3930808
Therefore, the GCF of 2358/952,9216/4129 is 18/3930808.
To find the highest common factor of 2358,9216, 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 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216
The HCF of 2358,9216 is 18.
Lets's calculate GCF of 2358,9216
| 2 | 2358, 9216 |
| 3 | 1179, 4608 |
| 3 | 393, 1536 |
| 131, 512 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 2358,9216 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 9216
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216
Greatest Common Factor
We found the factors 2358,9216 . The biggest common factor number is the GCF number.
So the greatest common factor 2358,9216 is 18.
Lets's calculate LCM of 952,4129
Given numbers has no common factors except 1. So, there LCM is their product i.e 3930808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/3930808
Therefore, the GCF of Fractions 2358/952,9216/4129 is 18/3930808
Least Common Multiple of 952,4129 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 952,4129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,4129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(952,4129) x common factors =1 x 1 = 1
LCM(952,4129) = ( 952 × 4129 ) / 1
LCM(952,4129) = 3930808 / 1
LCM(952,4129) = 3930808
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FAQs on GCF of Fractions of 2358/952, 9216/4129
1. What is the HCF of 2358,9216?
The HCF of 2358,9216 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 2358/952, 9216/4129?
Answer: GCF of Numerators as per given numbers 2358/952, 9216/4129 is
GCF of Numerators i.e. for 2358,9216 is 18
LCM of denominators i.e. for 952,4129 is 3930808.
Thus, GCF of Fractions is 18/3930808.Finally, GCF of Fractions for 2358/952, 9216/4129 is 18/3930808.