GCF of 4753/534, 1764/365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4753/534, 1764/365 i.e 49/194910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4753/534, 1764/365.
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 4753/534,1764/365?
Given fractions are 4753/534,1764/365
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 4753/534,1764/365, numerators are 4753,1764
Denominators are 534,365
The GCF of 4753,1764 is 49 .
LCM of 534,365 is 194910.
The greatest common factor of 4753/534,1764/365 = [GCF of 4753,1764]/[LCM of 534,365]= 49/194910
Therefore, the GCF of 4753/534,1764/365 is 49/194910.
To find the highest common factor of 4753,1764, we have to find the factors of both numbers and list the highest common factor.
The factors of 4753 are 1, 7, 49, 97, 679, 4753
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The HCF of 4753,1764 is 49.
Lets's calculate GCF of 4753,1764
| 7 | 4753, 1764 |
| 7 | 679, 252 |
| 97, 36 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 4753,1764 By Matching Biggest Common Factor Method
Now, list down the factors of 4753
:1,7,49,97,679,4753
Now, list down the factors of 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 4753,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 4753,1764 is 49.
Lets's calculate LCM of 534,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 194910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/194910
Therefore, the GCF of Fractions 4753/534,1764/365 is 49/194910
Least Common Multiple of 534,365 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 534,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(534,365) x common factors =1 x 1 = 1
LCM(534,365) = ( 534 × 365 ) / 1
LCM(534,365) = 194910 / 1
LCM(534,365) = 194910
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FAQs on GCF of Fractions of 4753/534, 1764/365
1. What is the HCF of 4753,1764?
The HCF of 4753,1764 is 49
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 4753/534, 1764/365?
Answer: GCF of Numerators as per given numbers 4753/534, 1764/365 is
GCF of Numerators i.e. for 4753,1764 is 49
LCM of denominators i.e. for 534,365 is 194910.
Thus, GCF of Fractions is 49/194910.Finally, GCF of Fractions for 4753/534, 1764/365 is 49/194910.