GCF of 469/456, 5831/376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 469/456, 5831/376 i.e 7/21432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 469/456, 5831/376.
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 469/456,5831/376?
Given fractions are 469/456,5831/376
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 469/456,5831/376, numerators are 469,5831
Denominators are 456,376
The GCF of 469,5831 is 7 .
LCM of 456,376 is 21432.
The greatest common factor of 469/456,5831/376 = [GCF of 469,5831]/[LCM of 456,376]= 7/21432
Therefore, the GCF of 469/456,5831/376 is 7/21432.
To find the highest common factor of 469,5831, we have to find the factors of both numbers and list the highest common factor.
The factors of 469 are 1, 7, 67, 469
The factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831
The HCF of 469,5831 is 7.
Lets's calculate GCF of 469,5831
| 7 | 469, 5831 |
| 67, 833 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 469,5831 By Matching Biggest Common Factor Method
Now, list down the factors of 469
:1,7,67,469
Now, list down the factors of 5831
:1,7,17,49,119,343,833,5831
Greatest Common Factor
We found the factors 469,5831 . The biggest common factor number is the GCF number.
So the greatest common factor 469,5831 is 7.
Lets's calculate LCM of 456,376
| 2 | 456, 376 |
| 2 | 228, 188 |
| 2 | 114, 94 |
| 57, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 47 = 21432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/21432
Therefore, the GCF of Fractions 469/456,5831/376 is 7/21432
Least Common Multiple of 456,376 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 456,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,376) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(456,376) x common factors =8 x 1 = 8
LCM(456,376) = ( 456 × 376 ) / 8
LCM(456,376) = 171456 / 8
LCM(456,376) = 21432
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FAQs on GCF of Fractions of 469/456, 5831/376
1. What is the HCF of 469,5831?
The HCF of 469,5831 is 7
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 469/456, 5831/376?
Answer: GCF of Numerators as per given numbers 469/456, 5831/376 is
GCF of Numerators i.e. for 469,5831 is 7
LCM of denominators i.e. for 456,376 is 21432.
Thus, GCF of Fractions is 7/21432.Finally, GCF of Fractions for 469/456, 5831/376 is 7/21432.