GCF of 4958/773, 2368/2111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4958/773, 2368/2111 i.e 74/1631803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4958/773, 2368/2111.
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 4958/773,2368/2111?
Given fractions are 4958/773,2368/2111
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 4958/773,2368/2111, numerators are 4958,2368
Denominators are 773,2111
The GCF of 4958,2368 is 74 .
LCM of 773,2111 is 1631803.
The greatest common factor of 4958/773,2368/2111 = [GCF of 4958,2368]/[LCM of 773,2111]= 74/1631803
Therefore, the GCF of 4958/773,2368/2111 is 74/1631803.
To find the highest common factor of 4958,2368, we have to find the factors of both numbers and list the highest common factor.
The factors of 4958 are 1, 2, 37, 67, 74, 134, 2479, 4958
The factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368
The HCF of 4958,2368 is 74.
Lets's calculate GCF of 4958,2368
| 2 | 4958, 2368 |
| 37 | 2479, 1184 |
| 67, 32 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Greatest Common Factor of 4958,2368 By Matching Biggest Common Factor Method
Now, list down the factors of 4958
:1,2,37,67,74,134,2479,4958
Now, list down the factors of 2368
:1,2,4,8,16,32,37,64,74,148,296,592,1184,2368
Greatest Common Factor
We found the factors 4958,2368 . The biggest common factor number is the GCF number.
So the greatest common factor 4958,2368 is 74.
Lets's calculate LCM of 773,2111
Given numbers has no common factors except 1. So, there LCM is their product i.e 1631803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/1631803
Therefore, the GCF of Fractions 4958/773,2368/2111 is 74/1631803
Least Common Multiple of 773,2111 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 773,2111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,2111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,2111) x common factors =1 x 1 = 1
LCM(773,2111) = ( 773 × 2111 ) / 1
LCM(773,2111) = 1631803 / 1
LCM(773,2111) = 1631803
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4958/773, 2368/2111
1. What is the HCF of 4958,2368?
The HCF of 4958,2368 is 74
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 4958/773, 2368/2111?
Answer: GCF of Numerators as per given numbers 4958/773, 2368/2111 is
GCF of Numerators i.e. for 4958,2368 is 74
LCM of denominators i.e. for 773,2111 is 1631803.
Thus, GCF of Fractions is 74/1631803.Finally, GCF of Fractions for 4958/773, 2368/2111 is 74/1631803.