GCF of 4233/427, 7764/861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4233/427, 7764/861 i.e 3/52521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4233/427, 7764/861.
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 4233/427,7764/861?
Given fractions are 4233/427,7764/861
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 4233/427,7764/861, numerators are 4233,7764
Denominators are 427,861
The GCF of 4233,7764 is 3 .
LCM of 427,861 is 52521.
The greatest common factor of 4233/427,7764/861 = [GCF of 4233,7764]/[LCM of 427,861]= 3/52521
Therefore, the GCF of 4233/427,7764/861 is 3/52521.
To find the highest common factor of 4233,7764, we have to find the factors of both numbers and list the highest common factor.
The factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233
The factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764
The HCF of 4233,7764 is 3.
Lets's calculate GCF of 4233,7764
| 3 | 4233, 7764 |
| 1411, 2588 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4233,7764 By Matching Biggest Common Factor Method
Now, list down the factors of 4233
:1,3,17,51,83,249,1411,4233
Now, list down the factors of 7764
:1,2,3,4,6,12,647,1294,1941,2588,3882,7764
Greatest Common Factor
We found the factors 4233,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 4233,7764 is 3.
Lets's calculate LCM of 427,861
| 7 | 427, 861 |
| 61, 123 |
∴ So the LCM of the given numbers is 7 x 61 x 123 = 52521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52521
Therefore, the GCF of Fractions 4233/427,7764/861 is 3/52521
Least Common Multiple of 427,861 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 427,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,861) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(427,861) x common factors =7 x 1 = 7
LCM(427,861) = ( 427 × 861 ) / 7
LCM(427,861) = 367647 / 7
LCM(427,861) = 52521
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FAQs on GCF of Fractions of 4233/427, 7764/861
1. What is the HCF of 4233,7764?
The HCF of 4233,7764 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 4233/427, 7764/861?
Answer: GCF of Numerators as per given numbers 4233/427, 7764/861 is
GCF of Numerators i.e. for 4233,7764 is 3
LCM of denominators i.e. for 427,861 is 52521.
Thus, GCF of Fractions is 3/52521.Finally, GCF of Fractions for 4233/427, 7764/861 is 3/52521.