GCF of 8576/742, 4882/5613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8576/742, 4882/5613 i.e 2/4164846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8576/742, 4882/5613.
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 8576/742,4882/5613?
Given fractions are 8576/742,4882/5613
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 8576/742,4882/5613, numerators are 8576,4882
Denominators are 742,5613
The GCF of 8576,4882 is 2 .
LCM of 742,5613 is 4164846.
The greatest common factor of 8576/742,4882/5613 = [GCF of 8576,4882]/[LCM of 742,5613]= 2/4164846
Therefore, the GCF of 8576/742,4882/5613 is 2/4164846.
To find the highest common factor of 8576,4882, we have to find the factors of both numbers and list the highest common factor.
The factors of 8576 are 1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288, 8576
The factors of 4882 are 1, 2, 2441, 4882
The HCF of 8576,4882 is 2.
Lets's calculate GCF of 8576,4882
| 2 | 8576, 4882 |
| 4288, 2441 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8576,4882 By Matching Biggest Common Factor Method
Now, list down the factors of 8576
:1,2,4,8,16,32,64,67,128,134,268,536,1072,2144,4288,8576
Now, list down the factors of 4882
:1,2,2441,4882
Greatest Common Factor
We found the factors 8576,4882 . The biggest common factor number is the GCF number.
So the greatest common factor 8576,4882 is 2.
Lets's calculate LCM of 742,5613
Given numbers has no common factors except 1. So, there LCM is their product i.e 4164846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4164846
Therefore, the GCF of Fractions 8576/742,4882/5613 is 2/4164846
Least Common Multiple of 742,5613 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 742,5613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,5613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,5613) x common factors =1 x 1 = 1
LCM(742,5613) = ( 742 × 5613 ) / 1
LCM(742,5613) = 4164846 / 1
LCM(742,5613) = 4164846
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FAQs on GCF of Fractions of 8576/742, 4882/5613
1. What is the HCF of 8576,4882?
The HCF of 8576,4882 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 8576/742, 4882/5613?
Answer: GCF of Numerators as per given numbers 8576/742, 4882/5613 is
GCF of Numerators i.e. for 8576,4882 is 2
LCM of denominators i.e. for 742,5613 is 4164846.
Thus, GCF of Fractions is 2/4164846.Finally, GCF of Fractions for 8576/742, 4882/5613 is 2/4164846.