GCF of 4820/743, 4592/4757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4820/743, 4592/4757 i.e 4/3534451 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4820/743, 4592/4757.
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 4820/743,4592/4757?
Given fractions are 4820/743,4592/4757
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 4820/743,4592/4757, numerators are 4820,4592
Denominators are 743,4757
The GCF of 4820,4592 is 4 .
LCM of 743,4757 is 3534451.
The greatest common factor of 4820/743,4592/4757 = [GCF of 4820,4592]/[LCM of 743,4757]= 4/3534451
Therefore, the GCF of 4820/743,4592/4757 is 4/3534451.
To find the highest common factor of 4820,4592, we have to find the factors of both numbers and list the highest common factor.
The factors of 4820 are 1, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820
The factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592
The HCF of 4820,4592 is 4.
Lets's calculate GCF of 4820,4592
| 2 | 4820, 4592 |
| 2 | 2410, 2296 |
| 1205, 1148 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4820,4592 By Matching Biggest Common Factor Method
Now, list down the factors of 4820
:1,2,4,5,10,20,241,482,964,1205,2410,4820
Now, list down the factors of 4592
:1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592
Greatest Common Factor
We found the factors 4820,4592 . The biggest common factor number is the GCF number.
So the greatest common factor 4820,4592 is 4.
Lets's calculate LCM of 743,4757
Given numbers has no common factors except 1. So, there LCM is their product i.e 3534451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3534451
Therefore, the GCF of Fractions 4820/743,4592/4757 is 4/3534451
Least Common Multiple of 743,4757 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 743,4757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,4757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,4757) x common factors =1 x 1 = 1
LCM(743,4757) = ( 743 × 4757 ) / 1
LCM(743,4757) = 3534451 / 1
LCM(743,4757) = 3534451
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4820/743, 4592/4757
1. What is the HCF of 4820,4592?
The HCF of 4820,4592 is 4
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 4820/743, 4592/4757?
Answer: GCF of Numerators as per given numbers 4820/743, 4592/4757 is
GCF of Numerators i.e. for 4820,4592 is 4
LCM of denominators i.e. for 743,4757 is 3534451.
Thus, GCF of Fractions is 4/3534451.Finally, GCF of Fractions for 4820/743, 4592/4757 is 4/3534451.