GCF of 4428/456, 6731/2361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4428/456, 6731/2361 i.e 1/358872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4428/456, 6731/2361.
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 4428/456,6731/2361?
Given fractions are 4428/456,6731/2361
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 4428/456,6731/2361, numerators are 4428,6731
Denominators are 456,2361
The GCF of 4428,6731 is 1 .
LCM of 456,2361 is 358872.
The greatest common factor of 4428/456,6731/2361 = [GCF of 4428,6731]/[LCM of 456,2361]= 1/358872
Therefore, the GCF of 4428/456,6731/2361 is 1/358872.
To find the highest common factor of 4428,6731, we have to find the factors of both numbers and list the highest common factor.
The factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428
The factors of 6731 are 1, 53, 127, 6731
The HCF of 4428,6731 is 1.
Lets's calculate GCF of 4428,6731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4428,6731 By Matching Biggest Common Factor Method
Now, list down the factors of 4428
:1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Now, list down the factors of 6731
:1,53,127,6731
Greatest Common Factor
We found the factors 4428,6731 . The biggest common factor number is the GCF number.
So the greatest common factor 4428,6731 is 1.
Lets's calculate LCM of 456,2361
| 3 | 456, 2361 |
| 152, 787 |
∴ So the LCM of the given numbers is 3 x 152 x 787 = 358872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358872
Therefore, the GCF of Fractions 4428/456,6731/2361 is 1/358872
Least Common Multiple of 456,2361 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 456,2361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,2361) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(456,2361) x common factors =3 x 1 = 3
LCM(456,2361) = ( 456 × 2361 ) / 3
LCM(456,2361) = 1076616 / 3
LCM(456,2361) = 358872
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FAQs on GCF of Fractions of 4428/456, 6731/2361
1. What is the HCF of 4428,6731?
The HCF of 4428,6731 is 1
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 4428/456, 6731/2361?
Answer: GCF of Numerators as per given numbers 4428/456, 6731/2361 is
GCF of Numerators i.e. for 4428,6731 is 1
LCM of denominators i.e. for 456,2361 is 358872.
Thus, GCF of Fractions is 1/358872.Finally, GCF of Fractions for 4428/456, 6731/2361 is 1/358872.