GCF of 476/458, 784/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 476/458, 784/624 i.e 28/142896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/458, 784/624.
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 476/458,784/624?
Given fractions are 476/458,784/624
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 476/458,784/624, numerators are 476,784
Denominators are 458,624
The GCF of 476,784 is 28 .
LCM of 458,624 is 142896.
The greatest common factor of 476/458,784/624 = [GCF of 476,784]/[LCM of 458,624]= 28/142896
Therefore, the GCF of 476/458,784/624 is 28/142896.
To find the highest common factor of 476,784, we have to find the factors of both numbers and list the highest common factor.
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The HCF of 476,784 is 28.
Lets's calculate GCF of 476,784
| 2 | 476, 784 |
| 2 | 238, 392 |
| 7 | 119, 196 |
| 17, 28 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 476,784 By Matching Biggest Common Factor Method
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 476,784 . The biggest common factor number is the GCF number.
So the greatest common factor 476,784 is 28.
Lets's calculate LCM of 458,624
| 2 | 458, 624 |
| 229, 312 |
∴ So the LCM of the given numbers is 2 x 229 x 312 = 142896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/142896
Therefore, the GCF of Fractions 476/458,784/624 is 28/142896
Least Common Multiple of 458,624 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 458,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,624) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,624) x common factors =2 x 1 = 2
LCM(458,624) = ( 458 × 624 ) / 2
LCM(458,624) = 285792 / 2
LCM(458,624) = 142896
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FAQs on GCF of Fractions of 476/458, 784/624
1. What is the HCF of 476,784?
The HCF of 476,784 is 28
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 476/458, 784/624?
Answer: GCF of Numerators as per given numbers 476/458, 784/624 is
GCF of Numerators i.e. for 476,784 is 28
LCM of denominators i.e. for 458,624 is 142896.
Thus, GCF of Fractions is 28/142896.Finally, GCF of Fractions for 476/458, 784/624 is 28/142896.