GCF of 4555/282, 6125/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4555/282, 6125/256 i.e 5/36096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4555/282, 6125/256.
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 4555/282,6125/256?
Given fractions are 4555/282,6125/256
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 4555/282,6125/256, numerators are 4555,6125
Denominators are 282,256
The GCF of 4555,6125 is 5 .
LCM of 282,256 is 36096.
The greatest common factor of 4555/282,6125/256 = [GCF of 4555,6125]/[LCM of 282,256]= 5/36096
Therefore, the GCF of 4555/282,6125/256 is 5/36096.
To find the highest common factor of 4555,6125, we have to find the factors of both numbers and list the highest common factor.
The factors of 4555 are 1, 5, 911, 4555
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The HCF of 4555,6125 is 5.
Lets's calculate GCF of 4555,6125
| 5 | 4555, 6125 |
| 911, 1225 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4555,6125 By Matching Biggest Common Factor Method
Now, list down the factors of 4555
:1,5,911,4555
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Greatest Common Factor
We found the factors 4555,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 4555,6125 is 5.
Lets's calculate LCM of 282,256
| 2 | 282, 256 |
| 141, 128 |
∴ So the LCM of the given numbers is 2 x 141 x 128 = 36096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/36096
Therefore, the GCF of Fractions 4555/282,6125/256 is 5/36096
Least Common Multiple of 282,256 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 282,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,256) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,256) x common factors =2 x 1 = 2
LCM(282,256) = ( 282 × 256 ) / 2
LCM(282,256) = 72192 / 2
LCM(282,256) = 36096
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FAQs on GCF of Fractions of 4555/282, 6125/256
1. What is the HCF of 4555,6125?
The HCF of 4555,6125 is 5
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 4555/282, 6125/256?
Answer: GCF of Numerators as per given numbers 4555/282, 6125/256 is
GCF of Numerators i.e. for 4555,6125 is 5
LCM of denominators i.e. for 282,256 is 36096.
Thus, GCF of Fractions is 5/36096.Finally, GCF of Fractions for 4555/282, 6125/256 is 5/36096.