GCF of 4123/833, 3844/470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4123/833, 3844/470 i.e 31/391510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4123/833, 3844/470.
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 4123/833,3844/470?
Given fractions are 4123/833,3844/470
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 4123/833,3844/470, numerators are 4123,3844
Denominators are 833,470
The GCF of 4123,3844 is 31 .
LCM of 833,470 is 391510.
The greatest common factor of 4123/833,3844/470 = [GCF of 4123,3844]/[LCM of 833,470]= 31/391510
Therefore, the GCF of 4123/833,3844/470 is 31/391510.
To find the highest common factor of 4123,3844, we have to find the factors of both numbers and list the highest common factor.
The factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123
The factors of 3844 are 1, 2, 4, 31, 62, 124, 961, 1922, 3844
The HCF of 4123,3844 is 31.
Lets's calculate GCF of 4123,3844
| 31 | 4123, 3844 |
| 133, 124 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 4123,3844 By Matching Biggest Common Factor Method
Now, list down the factors of 4123
:1,7,19,31,133,217,589,4123
Now, list down the factors of 3844
:1,2,4,31,62,124,961,1922,3844
Greatest Common Factor
We found the factors 4123,3844 . The biggest common factor number is the GCF number.
So the greatest common factor 4123,3844 is 31.
Lets's calculate LCM of 833,470
Given numbers has no common factors except 1. So, there LCM is their product i.e 391510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/391510
Therefore, the GCF of Fractions 4123/833,3844/470 is 31/391510
Least Common Multiple of 833,470 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 833,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,470) x common factors =1 x 1 = 1
LCM(833,470) = ( 833 × 470 ) / 1
LCM(833,470) = 391510 / 1
LCM(833,470) = 391510
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FAQs on GCF of Fractions of 4123/833, 3844/470
1. What is the HCF of 4123,3844?
The HCF of 4123,3844 is 31
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 4123/833, 3844/470?
Answer: GCF of Numerators as per given numbers 4123/833, 3844/470 is
GCF of Numerators i.e. for 4123,3844 is 31
LCM of denominators i.e. for 833,470 is 391510.
Thus, GCF of Fractions is 31/391510.Finally, GCF of Fractions for 4123/833, 3844/470 is 31/391510.