GCF of 5255/682, 5546/4224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5255/682, 5546/4224 i.e 1/130944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5255/682, 5546/4224.
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 5255/682,5546/4224?
Given fractions are 5255/682,5546/4224
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 5255/682,5546/4224, numerators are 5255,5546
Denominators are 682,4224
The GCF of 5255,5546 is 1 .
LCM of 682,4224 is 130944.
The greatest common factor of 5255/682,5546/4224 = [GCF of 5255,5546]/[LCM of 682,4224]= 1/130944
Therefore, the GCF of 5255/682,5546/4224 is 1/130944.
To find the highest common factor of 5255,5546, we have to find the factors of both numbers and list the highest common factor.
The factors of 5255 are 1, 5, 1051, 5255
The factors of 5546 are 1, 2, 47, 59, 94, 118, 2773, 5546
The HCF of 5255,5546 is 1.
Lets's calculate GCF of 5255,5546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5255,5546 By Matching Biggest Common Factor Method
Now, list down the factors of 5255
:1,5,1051,5255
Now, list down the factors of 5546
:1,2,47,59,94,118,2773,5546
Greatest Common Factor
We found the factors 5255,5546 . The biggest common factor number is the GCF number.
So the greatest common factor 5255,5546 is 1.
Lets's calculate LCM of 682,4224
| 2 | 682, 4224 |
| 11 | 341, 2112 |
| 31, 192 |
∴ So the LCM of the given numbers is 2 x 11 x 31 x 192 = 130944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130944
Therefore, the GCF of Fractions 5255/682,5546/4224 is 1/130944
Least Common Multiple of 682,4224 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 682,4224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,4224) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(682,4224) x common factors =22 x 1 = 22
LCM(682,4224) = ( 682 × 4224 ) / 22
LCM(682,4224) = 2880768 / 22
LCM(682,4224) = 130944
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FAQs on GCF of Fractions of 5255/682, 5546/4224
1. What is the HCF of 5255,5546?
The HCF of 5255,5546 is 1
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 5255/682, 5546/4224?
Answer: GCF of Numerators as per given numbers 5255/682, 5546/4224 is
GCF of Numerators i.e. for 5255,5546 is 1
LCM of denominators i.e. for 682,4224 is 130944.
Thus, GCF of Fractions is 1/130944.Finally, GCF of Fractions for 5255/682, 5546/4224 is 1/130944.