GCF of 2718/176, 5560/869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2718/176, 5560/869 i.e 2/13904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2718/176, 5560/869.
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 2718/176,5560/869?
Given fractions are 2718/176,5560/869
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 2718/176,5560/869, numerators are 2718,5560
Denominators are 176,869
The GCF of 2718,5560 is 2 .
LCM of 176,869 is 13904.
The greatest common factor of 2718/176,5560/869 = [GCF of 2718,5560]/[LCM of 176,869]= 2/13904
Therefore, the GCF of 2718/176,5560/869 is 2/13904.
To find the highest common factor of 2718,5560, we have to find the factors of both numbers and list the highest common factor.
The factors of 2718 are 1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718
The factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560
The HCF of 2718,5560 is 2.
Lets's calculate GCF of 2718,5560
| 2 | 2718, 5560 |
| 1359, 2780 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2718,5560 By Matching Biggest Common Factor Method
Now, list down the factors of 2718
:1,2,3,6,9,18,151,302,453,906,1359,2718
Now, list down the factors of 5560
:1,2,4,5,8,10,20,40,139,278,556,695,1112,1390,2780,5560
Greatest Common Factor
We found the factors 2718,5560 . The biggest common factor number is the GCF number.
So the greatest common factor 2718,5560 is 2.
Lets's calculate LCM of 176,869
| 11 | 176, 869 |
| 16, 79 |
∴ So the LCM of the given numbers is 11 x 16 x 79 = 13904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13904
Therefore, the GCF of Fractions 2718/176,5560/869 is 2/13904
Least Common Multiple of 176,869 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 176,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,869) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(176,869) x common factors =11 x 1 = 11
LCM(176,869) = ( 176 × 869 ) / 11
LCM(176,869) = 152944 / 11
LCM(176,869) = 13904
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FAQs on GCF of Fractions of 2718/176, 5560/869
1. What is the HCF of 2718,5560?
The HCF of 2718,5560 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 2718/176, 5560/869?
Answer: GCF of Numerators as per given numbers 2718/176, 5560/869 is
GCF of Numerators i.e. for 2718,5560 is 2
LCM of denominators i.e. for 176,869 is 13904.
Thus, GCF of Fractions is 2/13904.Finally, GCF of Fractions for 2718/176, 5560/869 is 2/13904.