GCF of 16/869, 12/424, 328/749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 16/869, 12/424, 328/749 i.e 4/275973544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/869, 12/424, 328/749.
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 16/869,12/424,328/749?
Given fractions are 16/869,12/424,328/749
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 16/869,12/424,328/749, numerators are 16,12,328
Denominators are 869,424,749
The GCF of 16,12,328 is 4 .
LCM of 869,424,749 is 275973544.
The greatest common factor of 16/869,12/424,328/749 = [GCF of 16,12,328]/[LCM of 869,424,749]= 4/275973544
Therefore, the GCF of 16/869,12/424,328/749 is 4/275973544.
To find the highest common factor of 16,12,328, we have to find the factors of both numbers and list the highest common factor.
The factors of 16 are 1, 2, 4, 8, 16
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328
The HCF of 16,12,328 is 4.
Lets's calculate GCF of 16,12,328
| 2 | 16, 12, 328 |
| 2 | 8, 6, 164 |
| 4, 3, 82 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 16,12,328 By Matching Biggest Common Factor Method
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 328
:1,2,4,8,41,82,164,328
Greatest Common Factor
We found the factors 16,12,328 . The biggest common factor number is the GCF number.
So the greatest common factor 16,12,328 is 4.
Lets's calculate LCM of 869,424,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 275973544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/275973544
Therefore, the GCF of Fractions 16/869,12/424,328/749 is 4/275973544
Least Common Multiple of 869,424,749 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 869,424,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,424,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,424,749) x common factors =1 x 1 = 1
LCM(869,424,749) = ( 869 × 424 × 749 ) / 1
LCM(869,424,749) = 275973544 / 1
LCM(869,424,749) = 275973544
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FAQs on GCF of Fractions of 16/869, 12/424, 328/749
1. What is the HCF of 16,12,328?
The HCF of 16,12,328 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 16/869, 12/424, 328/749?
Answer: GCF of Numerators as per given numbers 16/869, 12/424, 328/749 is
GCF of Numerators i.e. for 16,12,328 is 4
LCM of denominators i.e. for 869,424,749 is 275973544.
Thus, GCF of Fractions is 4/275973544.Finally, GCF of Fractions for 16/869, 12/424, 328/749 is 4/275973544.