GCF of 352/19, 225/96, 870/36
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 352/19, 225/96, 870/36 i.e 1/5472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/19, 225/96, 870/36.
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 352/19,225/96,870/36?
Given fractions are 352/19,225/96,870/36
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 352/19,225/96,870/36, numerators are 352,225,870
Denominators are 19,96,36
The GCF of 352,225,870 is 1 .
LCM of 19,96,36 is 5472.
The greatest common factor of 352/19,225/96,870/36 = [GCF of 352,225,870]/[LCM of 19,96,36]= 1/5472
Therefore, the GCF of 352/19,225/96,870/36 is 1/5472.
To find the highest common factor of 352,225,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 352,225,870 is 1.
Lets's calculate GCF of 352,225,870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 352,225,870 By Matching Biggest Common Factor Method
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 352,225,870 . The biggest common factor number is the GCF number.
So the greatest common factor 352,225,870 is 1.
Lets's calculate LCM of 19,96,36
| 2 | 19, 96, 36 |
| 2 | 19, 48, 18 |
| 3 | 19, 24, 9 |
| 19, 8, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 8 x 3 = 5472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5472
Therefore, the GCF of Fractions 352/19,225/96,870/36 is 1/5472
Least Common Multiple of 19,96,36 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 19,96,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,96,36) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(19,96,36) x common factors =1 x 12 = 12
LCM(19,96,36) = ( 19 × 96 × 36 ) / 12
LCM(19,96,36) = 65664 / 12
LCM(19,96,36) = 5472
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FAQs on GCF of Fractions of 352/19, 225/96, 870/36
1. What is the HCF of 352,225,870?
The HCF of 352,225,870 is 1
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 352/19, 225/96, 870/36?
Answer: GCF of Numerators as per given numbers 352/19, 225/96, 870/36 is
GCF of Numerators i.e. for 352,225,870 is 1
LCM of denominators i.e. for 19,96,36 is 5472.
Thus, GCF of Fractions is 1/5472.Finally, GCF of Fractions for 352/19, 225/96, 870/36 is 1/5472.