GCF of 1608/167, 9834/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1608/167, 9834/384 i.e 6/64128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1608/167, 9834/384.
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 1608/167,9834/384?
Given fractions are 1608/167,9834/384
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 1608/167,9834/384, numerators are 1608,9834
Denominators are 167,384
The GCF of 1608,9834 is 6 .
LCM of 167,384 is 64128.
The greatest common factor of 1608/167,9834/384 = [GCF of 1608,9834]/[LCM of 167,384]= 6/64128
Therefore, the GCF of 1608/167,9834/384 is 6/64128.
To find the highest common factor of 1608,9834, we have to find the factors of both numbers and list the highest common factor.
The factors of 1608 are 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
The factors of 9834 are 1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834
The HCF of 1608,9834 is 6.
Lets's calculate GCF of 1608,9834
| 2 | 1608, 9834 |
| 3 | 804, 4917 |
| 268, 1639 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1608,9834 By Matching Biggest Common Factor Method
Now, list down the factors of 1608
:1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608
Now, list down the factors of 9834
:1,2,3,6,11,22,33,66,149,298,447,894,1639,3278,4917,9834
Greatest Common Factor
We found the factors 1608,9834 . The biggest common factor number is the GCF number.
So the greatest common factor 1608,9834 is 6.
Lets's calculate LCM of 167,384
Given numbers has no common factors except 1. So, there LCM is their product i.e 64128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/64128
Therefore, the GCF of Fractions 1608/167,9834/384 is 6/64128
Least Common Multiple of 167,384 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 167,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,384) x common factors =1 x 1 = 1
LCM(167,384) = ( 167 × 384 ) / 1
LCM(167,384) = 64128 / 1
LCM(167,384) = 64128
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FAQs on GCF of Fractions of 1608/167, 9834/384
1. What is the HCF of 1608,9834?
The HCF of 1608,9834 is 6
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 1608/167, 9834/384?
Answer: GCF of Numerators as per given numbers 1608/167, 9834/384 is
GCF of Numerators i.e. for 1608,9834 is 6
LCM of denominators i.e. for 167,384 is 64128.
Thus, GCF of Fractions is 6/64128.Finally, GCF of Fractions for 1608/167, 9834/384 is 6/64128.