GCF of 1004/913, 2224/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1004/913, 2224/286 i.e 4/23738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1004/913, 2224/286.
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 1004/913,2224/286?
Given fractions are 1004/913,2224/286
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 1004/913,2224/286, numerators are 1004,2224
Denominators are 913,286
The GCF of 1004,2224 is 4 .
LCM of 913,286 is 23738.
The greatest common factor of 1004/913,2224/286 = [GCF of 1004,2224]/[LCM of 913,286]= 4/23738
Therefore, the GCF of 1004/913,2224/286 is 4/23738.
To find the highest common factor of 1004,2224, we have to find the factors of both numbers and list the highest common factor.
The factors of 1004 are 1, 2, 4, 251, 502, 1004
The factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224
The HCF of 1004,2224 is 4.
Lets's calculate GCF of 1004,2224
| 2 | 1004, 2224 |
| 2 | 502, 1112 |
| 251, 556 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1004,2224 By Matching Biggest Common Factor Method
Now, list down the factors of 1004
:1,2,4,251,502,1004
Now, list down the factors of 2224
:1,2,4,8,16,139,278,556,1112,2224
Greatest Common Factor
We found the factors 1004,2224 . The biggest common factor number is the GCF number.
So the greatest common factor 1004,2224 is 4.
Lets's calculate LCM of 913,286
| 11 | 913, 286 |
| 83, 26 |
∴ So the LCM of the given numbers is 11 x 83 x 26 = 23738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23738
Therefore, the GCF of Fractions 1004/913,2224/286 is 4/23738
Least Common Multiple of 913,286 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 913,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,286) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(913,286) x common factors =11 x 1 = 11
LCM(913,286) = ( 913 × 286 ) / 11
LCM(913,286) = 261118 / 11
LCM(913,286) = 23738
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FAQs on GCF of Fractions of 1004/913, 2224/286
1. What is the HCF of 1004,2224?
The HCF of 1004,2224 is 4
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 1004/913, 2224/286?
Answer: GCF of Numerators as per given numbers 1004/913, 2224/286 is
GCF of Numerators i.e. for 1004,2224 is 4
LCM of denominators i.e. for 913,286 is 23738.
Thus, GCF of Fractions is 4/23738.Finally, GCF of Fractions for 1004/913, 2224/286 is 4/23738.