GCF of 2832/433, 9322/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2832/433, 9322/912 i.e 118/394896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2832/433, 9322/912.
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 2832/433,9322/912?
Given fractions are 2832/433,9322/912
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 2832/433,9322/912, numerators are 2832,9322
Denominators are 433,912
The GCF of 2832,9322 is 118 .
LCM of 433,912 is 394896.
The greatest common factor of 2832/433,9322/912 = [GCF of 2832,9322]/[LCM of 433,912]= 118/394896
Therefore, the GCF of 2832/433,9322/912 is 118/394896.
To find the highest common factor of 2832,9322, we have to find the factors of both numbers and list the highest common factor.
The factors of 2832 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 59, 118, 177, 236, 354, 472, 708, 944, 1416, 2832
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The HCF of 2832,9322 is 118.
Lets's calculate GCF of 2832,9322
| 2 | 2832, 9322 |
| 59 | 1416, 4661 |
| 24, 79 |
∴ So the GCF of the given numbers is 2 x 59 = 118
Greatest Common Factor of 2832,9322 By Matching Biggest Common Factor Method
Now, list down the factors of 2832
:1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Greatest Common Factor
We found the factors 2832,9322 . The biggest common factor number is the GCF number.
So the greatest common factor 2832,9322 is 118.
Lets's calculate LCM of 433,912
Given numbers has no common factors except 1. So, there LCM is their product i.e 394896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 118/394896
Therefore, the GCF of Fractions 2832/433,9322/912 is 118/394896
Least Common Multiple of 433,912 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 433,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,912) x common factors =1 x 1 = 1
LCM(433,912) = ( 433 × 912 ) / 1
LCM(433,912) = 394896 / 1
LCM(433,912) = 394896
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FAQs on GCF of Fractions of 2832/433, 9322/912
1. What is the HCF of 2832,9322?
The HCF of 2832,9322 is 118
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 2832/433, 9322/912?
Answer: GCF of Numerators as per given numbers 2832/433, 9322/912 is
GCF of Numerators i.e. for 2832,9322 is 118
LCM of denominators i.e. for 433,912 is 394896.
Thus, GCF of Fractions is 118/394896.Finally, GCF of Fractions for 2832/433, 9322/912 is 118/394896.