GCF of 1825/232, 7224/5836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1825/232, 7224/5836 i.e 1/338488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1825/232, 7224/5836.
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 1825/232,7224/5836?
Given fractions are 1825/232,7224/5836
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 1825/232,7224/5836, numerators are 1825,7224
Denominators are 232,5836
The GCF of 1825,7224 is 1 .
LCM of 232,5836 is 338488.
The greatest common factor of 1825/232,7224/5836 = [GCF of 1825,7224]/[LCM of 232,5836]= 1/338488
Therefore, the GCF of 1825/232,7224/5836 is 1/338488.
To find the highest common factor of 1825,7224, we have to find the factors of both numbers and list the highest common factor.
The factors of 1825 are 1, 5, 25, 73, 365, 1825
The factors of 7224 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224
The HCF of 1825,7224 is 1.
Lets's calculate GCF of 1825,7224
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1825,7224 By Matching Biggest Common Factor Method
Now, list down the factors of 1825
:1,5,25,73,365,1825
Now, list down the factors of 7224
:1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224
Greatest Common Factor
We found the factors 1825,7224 . The biggest common factor number is the GCF number.
So the greatest common factor 1825,7224 is 1.
Lets's calculate LCM of 232,5836
| 2 | 232, 5836 |
| 2 | 116, 2918 |
| 58, 1459 |
∴ So the LCM of the given numbers is 2 x 2 x 58 x 1459 = 338488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/338488
Therefore, the GCF of Fractions 1825/232,7224/5836 is 1/338488
Least Common Multiple of 232,5836 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 232,5836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,5836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(232,5836) x common factors =4 x 1 = 4
LCM(232,5836) = ( 232 × 5836 ) / 4
LCM(232,5836) = 1353952 / 4
LCM(232,5836) = 338488
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FAQs on GCF of Fractions of 1825/232, 7224/5836
1. What is the HCF of 1825,7224?
The HCF of 1825,7224 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 1825/232, 7224/5836?
Answer: GCF of Numerators as per given numbers 1825/232, 7224/5836 is
GCF of Numerators i.e. for 1825,7224 is 1
LCM of denominators i.e. for 232,5836 is 338488.
Thus, GCF of Fractions is 1/338488.Finally, GCF of Fractions for 1825/232, 7224/5836 is 1/338488.