GCF of 2224/960, 8404/1175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2224/960, 8404/1175 i.e 4/225600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2224/960, 8404/1175.
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 2224/960,8404/1175?
Given fractions are 2224/960,8404/1175
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 2224/960,8404/1175, numerators are 2224,8404
Denominators are 960,1175
The GCF of 2224,8404 is 4 .
LCM of 960,1175 is 225600.
The greatest common factor of 2224/960,8404/1175 = [GCF of 2224,8404]/[LCM of 960,1175]= 4/225600
Therefore, the GCF of 2224/960,8404/1175 is 4/225600.
To find the highest common factor of 2224,8404, we have to find the factors of both numbers and list the highest common factor.
The factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224
The factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404
The HCF of 2224,8404 is 4.
Lets's calculate GCF of 2224,8404
| 2 | 2224, 8404 |
| 2 | 1112, 4202 |
| 556, 2101 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2224,8404 By Matching Biggest Common Factor Method
Now, list down the factors of 2224
:1,2,4,8,16,139,278,556,1112,2224
Now, list down the factors of 8404
:1,2,4,11,22,44,191,382,764,2101,4202,8404
Greatest Common Factor
We found the factors 2224,8404 . The biggest common factor number is the GCF number.
So the greatest common factor 2224,8404 is 4.
Lets's calculate LCM of 960,1175
| 5 | 960, 1175 |
| 192, 235 |
∴ So the LCM of the given numbers is 5 x 192 x 235 = 225600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/225600
Therefore, the GCF of Fractions 2224/960,8404/1175 is 4/225600
Least Common Multiple of 960,1175 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 960,1175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,1175) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(960,1175) x common factors =5 x 1 = 5
LCM(960,1175) = ( 960 × 1175 ) / 5
LCM(960,1175) = 1128000 / 5
LCM(960,1175) = 225600
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FAQs on GCF of Fractions of 2224/960, 8404/1175
1. What is the HCF of 2224,8404?
The HCF of 2224,8404 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 2224/960, 8404/1175?
Answer: GCF of Numerators as per given numbers 2224/960, 8404/1175 is
GCF of Numerators i.e. for 2224,8404 is 4
LCM of denominators i.e. for 960,1175 is 225600.
Thus, GCF of Fractions is 4/225600.Finally, GCF of Fractions for 2224/960, 8404/1175 is 4/225600.