GCF of 4754/736, 1764/4789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4754/736, 1764/4789 i.e 2/3524704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4754/736, 1764/4789.
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 4754/736,1764/4789?
Given fractions are 4754/736,1764/4789
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 4754/736,1764/4789, numerators are 4754,1764
Denominators are 736,4789
The GCF of 4754,1764 is 2 .
LCM of 736,4789 is 3524704.
The greatest common factor of 4754/736,1764/4789 = [GCF of 4754,1764]/[LCM of 736,4789]= 2/3524704
Therefore, the GCF of 4754/736,1764/4789 is 2/3524704.
To find the highest common factor of 4754,1764, we have to find the factors of both numbers and list the highest common factor.
The factors of 4754 are 1, 2, 2377, 4754
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 4754,1764 is 2.
Lets's calculate GCF of 4754,1764
| 2 | 4754, 1764 |
| 2377, 882 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4754,1764 By Matching Biggest Common Factor Method
Now, list down the factors of 4754
:1,2,2377,4754
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 4754,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 4754,1764 is 2.
Lets's calculate LCM of 736,4789
Given numbers has no common factors except 1. So, there LCM is their product i.e 3524704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3524704
Therefore, the GCF of Fractions 4754/736,1764/4789 is 2/3524704
Least Common Multiple of 736,4789 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 736,4789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,4789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,4789) x common factors =1 x 1 = 1
LCM(736,4789) = ( 736 × 4789 ) / 1
LCM(736,4789) = 3524704 / 1
LCM(736,4789) = 3524704
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FAQs on GCF of Fractions of 4754/736, 1764/4789
1. What is the HCF of 4754,1764?
The HCF of 4754,1764 is 2
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 4754/736, 1764/4789?
Answer: GCF of Numerators as per given numbers 4754/736, 1764/4789 is
GCF of Numerators i.e. for 4754,1764 is 2
LCM of denominators i.e. for 736,4789 is 3524704.
Thus, GCF of Fractions is 2/3524704.Finally, GCF of Fractions for 4754/736, 1764/4789 is 2/3524704.