GCF of 2088/877, 8212/5826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2088/877, 8212/5826 i.e 4/5109402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2088/877, 8212/5826.
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 2088/877,8212/5826?
Given fractions are 2088/877,8212/5826
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 2088/877,8212/5826, numerators are 2088,8212
Denominators are 877,5826
The GCF of 2088,8212 is 4 .
LCM of 877,5826 is 5109402.
The greatest common factor of 2088/877,8212/5826 = [GCF of 2088,8212]/[LCM of 877,5826]= 4/5109402
Therefore, the GCF of 2088/877,8212/5826 is 4/5109402.
To find the highest common factor of 2088,8212, we have to find the factors of both numbers and list the highest common factor.
The factors of 2088 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088
The factors of 8212 are 1, 2, 4, 2053, 4106, 8212
The HCF of 2088,8212 is 4.
Lets's calculate GCF of 2088,8212
| 2 | 2088, 8212 |
| 2 | 1044, 4106 |
| 522, 2053 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2088,8212 By Matching Biggest Common Factor Method
Now, list down the factors of 2088
:1,2,3,4,6,8,9,12,18,24,29,36,58,72,87,116,174,232,261,348,522,696,1044,2088
Now, list down the factors of 8212
:1,2,4,2053,4106,8212
Greatest Common Factor
We found the factors 2088,8212 . The biggest common factor number is the GCF number.
So the greatest common factor 2088,8212 is 4.
Lets's calculate LCM of 877,5826
Given numbers has no common factors except 1. So, there LCM is their product i.e 5109402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5109402
Therefore, the GCF of Fractions 2088/877,8212/5826 is 4/5109402
Least Common Multiple of 877,5826 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 877,5826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,5826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,5826) x common factors =1 x 1 = 1
LCM(877,5826) = ( 877 × 5826 ) / 1
LCM(877,5826) = 5109402 / 1
LCM(877,5826) = 5109402
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2088/877, 8212/5826
1. What is the HCF of 2088,8212?
The HCF of 2088,8212 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 2088/877, 8212/5826?
Answer: GCF of Numerators as per given numbers 2088/877, 8212/5826 is
GCF of Numerators i.e. for 2088,8212 is 4
LCM of denominators i.e. for 877,5826 is 5109402.
Thus, GCF of Fractions is 4/5109402.Finally, GCF of Fractions for 2088/877, 8212/5826 is 4/5109402.