GCF of 4584/474, 5230/3834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4584/474, 5230/3834 i.e 2/302886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4584/474, 5230/3834.
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 4584/474,5230/3834?
Given fractions are 4584/474,5230/3834
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 4584/474,5230/3834, numerators are 4584,5230
Denominators are 474,3834
The GCF of 4584,5230 is 2 .
LCM of 474,3834 is 302886.
The greatest common factor of 4584/474,5230/3834 = [GCF of 4584,5230]/[LCM of 474,3834]= 2/302886
Therefore, the GCF of 4584/474,5230/3834 is 2/302886.
To find the highest common factor of 4584,5230, we have to find the factors of both numbers and list the highest common factor.
The factors of 4584 are 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584
The factors of 5230 are 1, 2, 5, 10, 523, 1046, 2615, 5230
The HCF of 4584,5230 is 2.
Lets's calculate GCF of 4584,5230
| 2 | 4584, 5230 |
| 2292, 2615 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4584,5230 By Matching Biggest Common Factor Method
Now, list down the factors of 4584
:1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584
Now, list down the factors of 5230
:1,2,5,10,523,1046,2615,5230
Greatest Common Factor
We found the factors 4584,5230 . The biggest common factor number is the GCF number.
So the greatest common factor 4584,5230 is 2.
Lets's calculate LCM of 474,3834
| 2 | 474, 3834 |
| 3 | 237, 1917 |
| 79, 639 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 639 = 302886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/302886
Therefore, the GCF of Fractions 4584/474,5230/3834 is 2/302886
Least Common Multiple of 474,3834 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 474,3834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,3834) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(474,3834) x common factors =6 x 1 = 6
LCM(474,3834) = ( 474 × 3834 ) / 6
LCM(474,3834) = 1817316 / 6
LCM(474,3834) = 302886
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FAQs on GCF of Fractions of 4584/474, 5230/3834
1. What is the HCF of 4584,5230?
The HCF of 4584,5230 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 4584/474, 5230/3834?
Answer: GCF of Numerators as per given numbers 4584/474, 5230/3834 is
GCF of Numerators i.e. for 4584,5230 is 2
LCM of denominators i.e. for 474,3834 is 302886.
Thus, GCF of Fractions is 2/302886.Finally, GCF of Fractions for 4584/474, 5230/3834 is 2/302886.