GCF of 5967/474, 4777/4819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5967/474, 4777/4819 i.e 17/28914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5967/474, 4777/4819.
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 5967/474,4777/4819?
Given fractions are 5967/474,4777/4819
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 5967/474,4777/4819, numerators are 5967,4777
Denominators are 474,4819
The GCF of 5967,4777 is 17 .
LCM of 474,4819 is 28914.
The greatest common factor of 5967/474,4777/4819 = [GCF of 5967,4777]/[LCM of 474,4819]= 17/28914
Therefore, the GCF of 5967/474,4777/4819 is 17/28914.
To find the highest common factor of 5967,4777, we have to find the factors of both numbers and list the highest common factor.
The factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967
The factors of 4777 are 1, 17, 281, 4777
The HCF of 5967,4777 is 17.
Lets's calculate GCF of 5967,4777
| 17 | 5967, 4777 |
| 351, 281 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5967,4777 By Matching Biggest Common Factor Method
Now, list down the factors of 5967
:1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967
Now, list down the factors of 4777
:1,17,281,4777
Greatest Common Factor
We found the factors 5967,4777 . The biggest common factor number is the GCF number.
So the greatest common factor 5967,4777 is 17.
Lets's calculate LCM of 474,4819
| 79 | 474, 4819 |
| 6, 61 |
∴ So the LCM of the given numbers is 79 x 6 x 61 = 28914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/28914
Therefore, the GCF of Fractions 5967/474,4777/4819 is 17/28914
Least Common Multiple of 474,4819 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 474,4819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,4819) = 79
common factors(in case of two or more numbers have common factors) = 1
GCF(474,4819) x common factors =79 x 1 = 79
LCM(474,4819) = ( 474 × 4819 ) / 79
LCM(474,4819) = 2284206 / 79
LCM(474,4819) = 28914
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FAQs on GCF of Fractions of 5967/474, 4777/4819
1. What is the HCF of 5967,4777?
The HCF of 5967,4777 is 17
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 5967/474, 4777/4819?
Answer: GCF of Numerators as per given numbers 5967/474, 4777/4819 is
GCF of Numerators i.e. for 5967,4777 is 17
LCM of denominators i.e. for 474,4819 is 28914.
Thus, GCF of Fractions is 17/28914.Finally, GCF of Fractions for 5967/474, 4777/4819 is 17/28914.