GCF of 8836/520, 2072/2886
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8836/520, 2072/2886 i.e 4/57720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8836/520, 2072/2886.
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 8836/520,2072/2886?
Given fractions are 8836/520,2072/2886
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 8836/520,2072/2886, numerators are 8836,2072
Denominators are 520,2886
The GCF of 8836,2072 is 4 .
LCM of 520,2886 is 57720.
The greatest common factor of 8836/520,2072/2886 = [GCF of 8836,2072]/[LCM of 520,2886]= 4/57720
Therefore, the GCF of 8836/520,2072/2886 is 4/57720.
To find the highest common factor of 8836,2072, we have to find the factors of both numbers and list the highest common factor.
The factors of 8836 are 1, 2, 4, 47, 94, 188, 2209, 4418, 8836
The factors of 2072 are 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072
The HCF of 8836,2072 is 4.
Lets's calculate GCF of 8836,2072
| 2 | 8836, 2072 |
| 2 | 4418, 1036 |
| 2209, 518 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8836,2072 By Matching Biggest Common Factor Method
Now, list down the factors of 8836
:1,2,4,47,94,188,2209,4418,8836
Now, list down the factors of 2072
:1,2,4,7,8,14,28,37,56,74,148,259,296,518,1036,2072
Greatest Common Factor
We found the factors 8836,2072 . The biggest common factor number is the GCF number.
So the greatest common factor 8836,2072 is 4.
Lets's calculate LCM of 520,2886
| 2 | 520, 2886 |
| 13 | 260, 1443 |
| 20, 111 |
∴ So the LCM of the given numbers is 2 x 13 x 20 x 111 = 57720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/57720
Therefore, the GCF of Fractions 8836/520,2072/2886 is 4/57720
Least Common Multiple of 520,2886 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 520,2886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,2886) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(520,2886) x common factors =26 x 1 = 26
LCM(520,2886) = ( 520 × 2886 ) / 26
LCM(520,2886) = 1500720 / 26
LCM(520,2886) = 57720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8836/520, 2072/2886
1. What is the HCF of 8836,2072?
The HCF of 8836,2072 is 4
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 8836/520, 2072/2886?
Answer: GCF of Numerators as per given numbers 8836/520, 2072/2886 is
GCF of Numerators i.e. for 8836,2072 is 4
LCM of denominators i.e. for 520,2886 is 57720.
Thus, GCF of Fractions is 4/57720.Finally, GCF of Fractions for 8836/520, 2072/2886 is 4/57720.