GCF of 882/199, 1800/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 882/199, 1800/952 i.e 18/189448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 882/199, 1800/952.
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 882/199,1800/952?
Given fractions are 882/199,1800/952
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 882/199,1800/952, numerators are 882,1800
Denominators are 199,952
The GCF of 882,1800 is 18 .
LCM of 199,952 is 189448.
The greatest common factor of 882/199,1800/952 = [GCF of 882,1800]/[LCM of 199,952]= 18/189448
Therefore, the GCF of 882/199,1800/952 is 18/189448.
To find the highest common factor of 882,1800, we have to find the factors of both numbers and list the highest common factor.
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
The factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800
The HCF of 882,1800 is 18.
Lets's calculate GCF of 882,1800
| 2 | 882, 1800 |
| 3 | 441, 900 |
| 3 | 147, 300 |
| 49, 100 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 882,1800 By Matching Biggest Common Factor Method
Now, list down the factors of 882
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Now, list down the factors of 1800
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800
Greatest Common Factor
We found the factors 882,1800 . The biggest common factor number is the GCF number.
So the greatest common factor 882,1800 is 18.
Lets's calculate LCM of 199,952
Given numbers has no common factors except 1. So, there LCM is their product i.e 189448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/189448
Therefore, the GCF of Fractions 882/199,1800/952 is 18/189448
Least Common Multiple of 199,952 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 199,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,952) x common factors =1 x 1 = 1
LCM(199,952) = ( 199 × 952 ) / 1
LCM(199,952) = 189448 / 1
LCM(199,952) = 189448
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FAQs on GCF of Fractions of 882/199, 1800/952
1. What is the HCF of 882,1800?
The HCF of 882,1800 is 18
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 882/199, 1800/952?
Answer: GCF of Numerators as per given numbers 882/199, 1800/952 is
GCF of Numerators i.e. for 882,1800 is 18
LCM of denominators i.e. for 199,952 is 189448.
Thus, GCF of Fractions is 18/189448.Finally, GCF of Fractions for 882/199, 1800/952 is 18/189448.