GCF of 5768/159, 4630/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5768/159, 4630/735 i.e 2/38955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5768/159, 4630/735.
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 5768/159,4630/735?
Given fractions are 5768/159,4630/735
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 5768/159,4630/735, numerators are 5768,4630
Denominators are 159,735
The GCF of 5768,4630 is 2 .
LCM of 159,735 is 38955.
The greatest common factor of 5768/159,4630/735 = [GCF of 5768,4630]/[LCM of 159,735]= 2/38955
Therefore, the GCF of 5768/159,4630/735 is 2/38955.
To find the highest common factor of 5768,4630, we have to find the factors of both numbers and list the highest common factor.
The factors of 5768 are 1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768
The factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630
The HCF of 5768,4630 is 2.
Lets's calculate GCF of 5768,4630
| 2 | 5768, 4630 |
| 2884, 2315 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5768,4630 By Matching Biggest Common Factor Method
Now, list down the factors of 5768
:1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768
Now, list down the factors of 4630
:1,2,5,10,463,926,2315,4630
Greatest Common Factor
We found the factors 5768,4630 . The biggest common factor number is the GCF number.
So the greatest common factor 5768,4630 is 2.
Lets's calculate LCM of 159,735
| 3 | 159, 735 |
| 53, 245 |
∴ So the LCM of the given numbers is 3 x 53 x 245 = 38955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38955
Therefore, the GCF of Fractions 5768/159,4630/735 is 2/38955
Least Common Multiple of 159,735 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 159,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,735) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,735) x common factors =3 x 1 = 3
LCM(159,735) = ( 159 × 735 ) / 3
LCM(159,735) = 116865 / 3
LCM(159,735) = 38955
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FAQs on GCF of Fractions of 5768/159, 4630/735
1. What is the HCF of 5768,4630?
The HCF of 5768,4630 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 5768/159, 4630/735?
Answer: GCF of Numerators as per given numbers 5768/159, 4630/735 is
GCF of Numerators i.e. for 5768,4630 is 2
LCM of denominators i.e. for 159,735 is 38955.
Thus, GCF of Fractions is 2/38955.Finally, GCF of Fractions for 5768/159, 4630/735 is 2/38955.