GCF of 4764/238, 4833/3694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4764/238, 4833/3694 i.e 3/439586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4764/238, 4833/3694.
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 4764/238,4833/3694?
Given fractions are 4764/238,4833/3694
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 4764/238,4833/3694, numerators are 4764,4833
Denominators are 238,3694
The GCF of 4764,4833 is 3 .
LCM of 238,3694 is 439586.
The greatest common factor of 4764/238,4833/3694 = [GCF of 4764,4833]/[LCM of 238,3694]= 3/439586
Therefore, the GCF of 4764/238,4833/3694 is 3/439586.
To find the highest common factor of 4764,4833, we have to find the factors of both numbers and list the highest common factor.
The factors of 4764 are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764
The factors of 4833 are 1, 3, 9, 27, 179, 537, 1611, 4833
The HCF of 4764,4833 is 3.
Lets's calculate GCF of 4764,4833
| 3 | 4764, 4833 |
| 1588, 1611 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4764,4833 By Matching Biggest Common Factor Method
Now, list down the factors of 4764
:1,2,3,4,6,12,397,794,1191,1588,2382,4764
Now, list down the factors of 4833
:1,3,9,27,179,537,1611,4833
Greatest Common Factor
We found the factors 4764,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 4764,4833 is 3.
Lets's calculate LCM of 238,3694
| 2 | 238, 3694 |
| 119, 1847 |
∴ So the LCM of the given numbers is 2 x 119 x 1847 = 439586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/439586
Therefore, the GCF of Fractions 4764/238,4833/3694 is 3/439586
Least Common Multiple of 238,3694 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 238,3694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,3694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,3694) x common factors =2 x 1 = 2
LCM(238,3694) = ( 238 × 3694 ) / 2
LCM(238,3694) = 879172 / 2
LCM(238,3694) = 439586
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FAQs on GCF of Fractions of 4764/238, 4833/3694
1. What is the HCF of 4764,4833?
The HCF of 4764,4833 is 3
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 4764/238, 4833/3694?
Answer: GCF of Numerators as per given numbers 4764/238, 4833/3694 is
GCF of Numerators i.e. for 4764,4833 is 3
LCM of denominators i.e. for 238,3694 is 439586.
Thus, GCF of Fractions is 3/439586.Finally, GCF of Fractions for 4764/238, 4833/3694 is 3/439586.