GCF of 6227/144, 5610/7136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6227/144, 5610/7136 i.e 1/64224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6227/144, 5610/7136.
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 6227/144,5610/7136?
Given fractions are 6227/144,5610/7136
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 6227/144,5610/7136, numerators are 6227,5610
Denominators are 144,7136
The GCF of 6227,5610 is 1 .
LCM of 144,7136 is 64224.
The greatest common factor of 6227/144,5610/7136 = [GCF of 6227,5610]/[LCM of 144,7136]= 1/64224
Therefore, the GCF of 6227/144,5610/7136 is 1/64224.
To find the highest common factor of 6227,5610, we have to find the factors of both numbers and list the highest common factor.
The factors of 6227 are 1, 13, 479, 6227
The factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610
The HCF of 6227,5610 is 1.
Lets's calculate GCF of 6227,5610
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6227,5610 By Matching Biggest Common Factor Method
Now, list down the factors of 6227
:1,13,479,6227
Now, list down the factors of 5610
:1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Greatest Common Factor
We found the factors 6227,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 6227,5610 is 1.
Lets's calculate LCM of 144,7136
| 2 | 144, 7136 |
| 2 | 72, 3568 |
| 2 | 36, 1784 |
| 2 | 18, 892 |
| 9, 446 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 9 x 446 = 64224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64224
Therefore, the GCF of Fractions 6227/144,5610/7136 is 1/64224
Least Common Multiple of 144,7136 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 144,7136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,7136) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(144,7136) x common factors =16 x 1 = 16
LCM(144,7136) = ( 144 × 7136 ) / 16
LCM(144,7136) = 1027584 / 16
LCM(144,7136) = 64224
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FAQs on GCF of Fractions of 6227/144, 5610/7136
1. What is the HCF of 6227,5610?
The HCF of 6227,5610 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 6227/144, 5610/7136?
Answer: GCF of Numerators as per given numbers 6227/144, 5610/7136 is
GCF of Numerators i.e. for 6227,5610 is 1
LCM of denominators i.e. for 144,7136 is 64224.
Thus, GCF of Fractions is 1/64224.Finally, GCF of Fractions for 6227/144, 5610/7136 is 1/64224.