GCF of 5728/951, 3159/663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5728/951, 3159/663 i.e 1/210171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5728/951, 3159/663.
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 5728/951,3159/663?
Given fractions are 5728/951,3159/663
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 5728/951,3159/663, numerators are 5728,3159
Denominators are 951,663
The GCF of 5728,3159 is 1 .
LCM of 951,663 is 210171.
The greatest common factor of 5728/951,3159/663 = [GCF of 5728,3159]/[LCM of 951,663]= 1/210171
Therefore, the GCF of 5728/951,3159/663 is 1/210171.
To find the highest common factor of 5728,3159, we have to find the factors of both numbers and list the highest common factor.
The factors of 5728 are 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728
The factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159
The HCF of 5728,3159 is 1.
Lets's calculate GCF of 5728,3159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5728,3159 By Matching Biggest Common Factor Method
Now, list down the factors of 5728
:1,2,4,8,16,32,179,358,716,1432,2864,5728
Now, list down the factors of 3159
:1,3,9,13,27,39,81,117,243,351,1053,3159
Greatest Common Factor
We found the factors 5728,3159 . The biggest common factor number is the GCF number.
So the greatest common factor 5728,3159 is 1.
Lets's calculate LCM of 951,663
| 3 | 951, 663 |
| 317, 221 |
∴ So the LCM of the given numbers is 3 x 317 x 221 = 210171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210171
Therefore, the GCF of Fractions 5728/951,3159/663 is 1/210171
Least Common Multiple of 951,663 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 951,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,663) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(951,663) x common factors =3 x 1 = 3
LCM(951,663) = ( 951 × 663 ) / 3
LCM(951,663) = 630513 / 3
LCM(951,663) = 210171
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FAQs on GCF of Fractions of 5728/951, 3159/663
1. What is the HCF of 5728,3159?
The HCF of 5728,3159 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 5728/951, 3159/663?
Answer: GCF of Numerators as per given numbers 5728/951, 3159/663 is
GCF of Numerators i.e. for 5728,3159 is 1
LCM of denominators i.e. for 951,663 is 210171.
Thus, GCF of Fractions is 1/210171.Finally, GCF of Fractions for 5728/951, 3159/663 is 1/210171.