GCF of 8884/176, 6994/2300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8884/176, 6994/2300 i.e 2/101200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8884/176, 6994/2300.
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 8884/176,6994/2300?
Given fractions are 8884/176,6994/2300
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 8884/176,6994/2300, numerators are 8884,6994
Denominators are 176,2300
The GCF of 8884,6994 is 2 .
LCM of 176,2300 is 101200.
The greatest common factor of 8884/176,6994/2300 = [GCF of 8884,6994]/[LCM of 176,2300]= 2/101200
Therefore, the GCF of 8884/176,6994/2300 is 2/101200.
To find the highest common factor of 8884,6994, we have to find the factors of both numbers and list the highest common factor.
The factors of 8884 are 1, 2, 4, 2221, 4442, 8884
The factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994
The HCF of 8884,6994 is 2.
Lets's calculate GCF of 8884,6994
| 2 | 8884, 6994 |
| 4442, 3497 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8884,6994 By Matching Biggest Common Factor Method
Now, list down the factors of 8884
:1,2,4,2221,4442,8884
Now, list down the factors of 6994
:1,2,13,26,269,538,3497,6994
Greatest Common Factor
We found the factors 8884,6994 . The biggest common factor number is the GCF number.
So the greatest common factor 8884,6994 is 2.
Lets's calculate LCM of 176,2300
| 2 | 176, 2300 |
| 2 | 88, 1150 |
| 44, 575 |
∴ So the LCM of the given numbers is 2 x 2 x 44 x 575 = 101200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/101200
Therefore, the GCF of Fractions 8884/176,6994/2300 is 2/101200
Least Common Multiple of 176,2300 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 176,2300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,2300) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(176,2300) x common factors =4 x 1 = 4
LCM(176,2300) = ( 176 × 2300 ) / 4
LCM(176,2300) = 404800 / 4
LCM(176,2300) = 101200
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FAQs on GCF of Fractions of 8884/176, 6994/2300
1. What is the HCF of 8884,6994?
The HCF of 8884,6994 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 8884/176, 6994/2300?
Answer: GCF of Numerators as per given numbers 8884/176, 6994/2300 is
GCF of Numerators i.e. for 8884,6994 is 2
LCM of denominators i.e. for 176,2300 is 101200.
Thus, GCF of Fractions is 2/101200.Finally, GCF of Fractions for 8884/176, 6994/2300 is 2/101200.