GCF of 1133/350, 1408/422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1133/350, 1408/422 i.e 11/73850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1133/350, 1408/422.
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 1133/350,1408/422?
Given fractions are 1133/350,1408/422
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 1133/350,1408/422, numerators are 1133,1408
Denominators are 350,422
The GCF of 1133,1408 is 11 .
LCM of 350,422 is 73850.
The greatest common factor of 1133/350,1408/422 = [GCF of 1133,1408]/[LCM of 350,422]= 11/73850
Therefore, the GCF of 1133/350,1408/422 is 11/73850.
To find the highest common factor of 1133,1408, we have to find the factors of both numbers and list the highest common factor.
The factors of 1133 are 1, 11, 103, 1133
The factors of 1408 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704, 1408
The HCF of 1133,1408 is 11.
Lets's calculate GCF of 1133,1408
| 11 | 1133, 1408 |
| 103, 128 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1133,1408 By Matching Biggest Common Factor Method
Now, list down the factors of 1133
:1,11,103,1133
Now, list down the factors of 1408
:1,2,4,8,11,16,22,32,44,64,88,128,176,352,704,1408
Greatest Common Factor
We found the factors 1133,1408 . The biggest common factor number is the GCF number.
So the greatest common factor 1133,1408 is 11.
Lets's calculate LCM of 350,422
| 2 | 350, 422 |
| 175, 211 |
∴ So the LCM of the given numbers is 2 x 175 x 211 = 73850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/73850
Therefore, the GCF of Fractions 1133/350,1408/422 is 11/73850
Least Common Multiple of 350,422 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 350,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(350,422) x common factors =2 x 1 = 2
LCM(350,422) = ( 350 × 422 ) / 2
LCM(350,422) = 147700 / 2
LCM(350,422) = 73850
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FAQs on GCF of Fractions of 1133/350, 1408/422
1. What is the HCF of 1133,1408?
The HCF of 1133,1408 is 11
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 1133/350, 1408/422?
Answer: GCF of Numerators as per given numbers 1133/350, 1408/422 is
GCF of Numerators i.e. for 1133,1408 is 11
LCM of denominators i.e. for 350,422 is 73850.
Thus, GCF of Fractions is 11/73850.Finally, GCF of Fractions for 1133/350, 1408/422 is 11/73850.