GCF of 4225/100, 7280/7268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4225/100, 7280/7268 i.e 65/181700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4225/100, 7280/7268.
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 4225/100,7280/7268?
Given fractions are 4225/100,7280/7268
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 4225/100,7280/7268, numerators are 4225,7280
Denominators are 100,7268
The GCF of 4225,7280 is 65 .
LCM of 100,7268 is 181700.
The greatest common factor of 4225/100,7280/7268 = [GCF of 4225,7280]/[LCM of 100,7268]= 65/181700
Therefore, the GCF of 4225/100,7280/7268 is 65/181700.
To find the highest common factor of 4225,7280, we have to find the factors of both numbers and list the highest common factor.
The factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225
The factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280
The HCF of 4225,7280 is 65.
Lets's calculate GCF of 4225,7280
| 5 | 4225, 7280 |
| 13 | 845, 1456 |
| 65, 112 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 4225,7280 By Matching Biggest Common Factor Method
Now, list down the factors of 4225
:1,5,13,25,65,169,325,845,4225
Now, list down the factors of 7280
:1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Greatest Common Factor
We found the factors 4225,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 4225,7280 is 65.
Lets's calculate LCM of 100,7268
| 2 | 100, 7268 |
| 2 | 50, 3634 |
| 25, 1817 |
∴ So the LCM of the given numbers is 2 x 2 x 25 x 1817 = 181700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/181700
Therefore, the GCF of Fractions 4225/100,7280/7268 is 65/181700
Least Common Multiple of 100,7268 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 100,7268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,7268) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(100,7268) x common factors =4 x 1 = 4
LCM(100,7268) = ( 100 × 7268 ) / 4
LCM(100,7268) = 726800 / 4
LCM(100,7268) = 181700
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FAQs on GCF of Fractions of 4225/100, 7280/7268
1. What is the HCF of 4225,7280?
The HCF of 4225,7280 is 65
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 4225/100, 7280/7268?
Answer: GCF of Numerators as per given numbers 4225/100, 7280/7268 is
GCF of Numerators i.e. for 4225,7280 is 65
LCM of denominators i.e. for 100,7268 is 181700.
Thus, GCF of Fractions is 65/181700.Finally, GCF of Fractions for 4225/100, 7280/7268 is 65/181700.