GCF of 868/81, 560/174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 868/81, 560/174 i.e 28/4698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/81, 560/174.
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 868/81,560/174?
Given fractions are 868/81,560/174
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 868/81,560/174, numerators are 868,560
Denominators are 81,174
The GCF of 868,560 is 28 .
LCM of 81,174 is 4698.
The greatest common factor of 868/81,560/174 = [GCF of 868,560]/[LCM of 81,174]= 28/4698
Therefore, the GCF of 868/81,560/174 is 28/4698.
To find the highest common factor of 868,560, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The HCF of 868,560 is 28.
Lets's calculate GCF of 868,560
| 2 | 868, 560 |
| 2 | 434, 280 |
| 7 | 217, 140 |
| 31, 20 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 868,560 By Matching Biggest Common Factor Method
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 868,560 . The biggest common factor number is the GCF number.
So the greatest common factor 868,560 is 28.
Lets's calculate LCM of 81,174
| 3 | 81, 174 |
| 27, 58 |
∴ So the LCM of the given numbers is 3 x 27 x 58 = 4698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/4698
Therefore, the GCF of Fractions 868/81,560/174 is 28/4698
Least Common Multiple of 81,174 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 81,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,174) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(81,174) x common factors =3 x 1 = 3
LCM(81,174) = ( 81 × 174 ) / 3
LCM(81,174) = 14094 / 3
LCM(81,174) = 4698
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FAQs on GCF of Fractions of 868/81, 560/174
1. What is the HCF of 868,560?
The HCF of 868,560 is 28
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 868/81, 560/174?
Answer: GCF of Numerators as per given numbers 868/81, 560/174 is
GCF of Numerators i.e. for 868,560 is 28
LCM of denominators i.e. for 81,174 is 4698.
Thus, GCF of Fractions is 28/4698.Finally, GCF of Fractions for 868/81, 560/174 is 28/4698.