GCF of 5945/272, 9715/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5945/272, 9715/582 i.e 145/79152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5945/272, 9715/582.
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 5945/272,9715/582?
Given fractions are 5945/272,9715/582
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 5945/272,9715/582, numerators are 5945,9715
Denominators are 272,582
The GCF of 5945,9715 is 145 .
LCM of 272,582 is 79152.
The greatest common factor of 5945/272,9715/582 = [GCF of 5945,9715]/[LCM of 272,582]= 145/79152
Therefore, the GCF of 5945/272,9715/582 is 145/79152.
To find the highest common factor of 5945,9715, we have to find the factors of both numbers and list the highest common factor.
The factors of 5945 are 1, 5, 29, 41, 145, 205, 1189, 5945
The factors of 9715 are 1, 5, 29, 67, 145, 335, 1943, 9715
The HCF of 5945,9715 is 145.
Lets's calculate GCF of 5945,9715
| 5 | 5945, 9715 |
| 29 | 1189, 1943 |
| 41, 67 |
∴ So the GCF of the given numbers is 5 x 29 = 145
Greatest Common Factor of 5945,9715 By Matching Biggest Common Factor Method
Now, list down the factors of 5945
:1,5,29,41,145,205,1189,5945
Now, list down the factors of 9715
:1,5,29,67,145,335,1943,9715
Greatest Common Factor
We found the factors 5945,9715 . The biggest common factor number is the GCF number.
So the greatest common factor 5945,9715 is 145.
Lets's calculate LCM of 272,582
| 2 | 272, 582 |
| 136, 291 |
∴ So the LCM of the given numbers is 2 x 136 x 291 = 79152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 145/79152
Therefore, the GCF of Fractions 5945/272,9715/582 is 145/79152
Least Common Multiple of 272,582 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 272,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,582) x common factors =2 x 1 = 2
LCM(272,582) = ( 272 × 582 ) / 2
LCM(272,582) = 158304 / 2
LCM(272,582) = 79152
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FAQs on GCF of Fractions of 5945/272, 9715/582
1. What is the HCF of 5945,9715?
The HCF of 5945,9715 is 145
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 5945/272, 9715/582?
Answer: GCF of Numerators as per given numbers 5945/272, 9715/582 is
GCF of Numerators i.e. for 5945,9715 is 145
LCM of denominators i.e. for 272,582 is 79152.
Thus, GCF of Fractions is 145/79152.Finally, GCF of Fractions for 5945/272, 9715/582 is 145/79152.