GCF of 332/19, 830/1312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 332/19, 830/1312 i.e 166/24928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 332/19, 830/1312.
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 332/19,830/1312?
Given fractions are 332/19,830/1312
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 332/19,830/1312, numerators are 332,830
Denominators are 19,1312
The GCF of 332,830 is 166 .
LCM of 19,1312 is 24928.
The greatest common factor of 332/19,830/1312 = [GCF of 332,830]/[LCM of 19,1312]= 166/24928
Therefore, the GCF of 332/19,830/1312 is 166/24928.
To find the highest common factor of 332,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 332 are 1, 2, 4, 83, 166, 332
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 332,830 is 166.
Lets's calculate GCF of 332,830
| 2 | 332, 830 |
| 83 | 166, 415 |
| 2, 5 |
∴ So the GCF of the given numbers is 2 x 83 = 166
Greatest Common Factor of 332,830 By Matching Biggest Common Factor Method
Now, list down the factors of 332
:1,2,4,83,166,332
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 332,830 . The biggest common factor number is the GCF number.
So the greatest common factor 332,830 is 166.
Lets's calculate LCM of 19,1312
Given numbers has no common factors except 1. So, there LCM is their product i.e 24928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 166/24928
Therefore, the GCF of Fractions 332/19,830/1312 is 166/24928
Least Common Multiple of 19,1312 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 19,1312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,1312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,1312) x common factors =1 x 1 = 1
LCM(19,1312) = ( 19 × 1312 ) / 1
LCM(19,1312) = 24928 / 1
LCM(19,1312) = 24928
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FAQs on GCF of Fractions of 332/19, 830/1312
1. What is the HCF of 332,830?
The HCF of 332,830 is 166
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 332/19, 830/1312?
Answer: GCF of Numerators as per given numbers 332/19, 830/1312 is
GCF of Numerators i.e. for 332,830 is 166
LCM of denominators i.e. for 19,1312 is 24928.
Thus, GCF of Fractions is 166/24928.Finally, GCF of Fractions for 332/19, 830/1312 is 166/24928.