GCF of 5277/457, 6807/5576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5277/457, 6807/5576 i.e 3/2548232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5277/457, 6807/5576.
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 5277/457,6807/5576?
Given fractions are 5277/457,6807/5576
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 5277/457,6807/5576, numerators are 5277,6807
Denominators are 457,5576
The GCF of 5277,6807 is 3 .
LCM of 457,5576 is 2548232.
The greatest common factor of 5277/457,6807/5576 = [GCF of 5277,6807]/[LCM of 457,5576]= 3/2548232
Therefore, the GCF of 5277/457,6807/5576 is 3/2548232.
To find the highest common factor of 5277,6807, we have to find the factors of both numbers and list the highest common factor.
The factors of 5277 are 1, 3, 1759, 5277
The factors of 6807 are 1, 3, 2269, 6807
The HCF of 5277,6807 is 3.
Lets's calculate GCF of 5277,6807
| 3 | 5277, 6807 |
| 1759, 2269 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5277,6807 By Matching Biggest Common Factor Method
Now, list down the factors of 5277
:1,3,1759,5277
Now, list down the factors of 6807
:1,3,2269,6807
Greatest Common Factor
We found the factors 5277,6807 . The biggest common factor number is the GCF number.
So the greatest common factor 5277,6807 is 3.
Lets's calculate LCM of 457,5576
Given numbers has no common factors except 1. So, there LCM is their product i.e 2548232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2548232
Therefore, the GCF of Fractions 5277/457,6807/5576 is 3/2548232
Least Common Multiple of 457,5576 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 457,5576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,5576) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,5576) x common factors =1 x 1 = 1
LCM(457,5576) = ( 457 × 5576 ) / 1
LCM(457,5576) = 2548232 / 1
LCM(457,5576) = 2548232
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FAQs on GCF of Fractions of 5277/457, 6807/5576
1. What is the HCF of 5277,6807?
The HCF of 5277,6807 is 3
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 5277/457, 6807/5576?
Answer: GCF of Numerators as per given numbers 5277/457, 6807/5576 is
GCF of Numerators i.e. for 5277,6807 is 3
LCM of denominators i.e. for 457,5576 is 2548232.
Thus, GCF of Fractions is 3/2548232.Finally, GCF of Fractions for 5277/457, 6807/5576 is 3/2548232.