GCF of 176/43, 562/904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 176/43, 562/904 i.e 2/38872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/43, 562/904.
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 176/43,562/904?
Given fractions are 176/43,562/904
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 176/43,562/904, numerators are 176,562
Denominators are 43,904
The GCF of 176,562 is 2 .
LCM of 43,904 is 38872.
The greatest common factor of 176/43,562/904 = [GCF of 176,562]/[LCM of 43,904]= 2/38872
Therefore, the GCF of 176/43,562/904 is 2/38872.
To find the highest common factor of 176,562, we have to find the factors of both numbers and list the highest common factor.
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The factors of 562 are 1, 2, 281, 562
The HCF of 176,562 is 2.
Lets's calculate GCF of 176,562
| 2 | 176, 562 |
| 88, 281 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 176,562 By Matching Biggest Common Factor Method
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Now, list down the factors of 562
:1,2,281,562
Greatest Common Factor
We found the factors 176,562 . The biggest common factor number is the GCF number.
So the greatest common factor 176,562 is 2.
Lets's calculate LCM of 43,904
Given numbers has no common factors except 1. So, there LCM is their product i.e 38872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38872
Therefore, the GCF of Fractions 176/43,562/904 is 2/38872
Least Common Multiple of 43,904 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 43,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,904) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,904) x common factors =1 x 1 = 1
LCM(43,904) = ( 43 × 904 ) / 1
LCM(43,904) = 38872 / 1
LCM(43,904) = 38872
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FAQs on GCF of Fractions of 176/43, 562/904
1. What is the HCF of 176,562?
The HCF of 176,562 is 2
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 176/43, 562/904?
Answer: GCF of Numerators as per given numbers 176/43, 562/904 is
GCF of Numerators i.e. for 176,562 is 2
LCM of denominators i.e. for 43,904 is 38872.
Thus, GCF of Fractions is 2/38872.Finally, GCF of Fractions for 176/43, 562/904 is 2/38872.