GCF of 1608/934, 1905/8386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1608/934, 1905/8386 i.e 3/3916262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1608/934, 1905/8386.
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 1608/934,1905/8386?
Given fractions are 1608/934,1905/8386
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 1608/934,1905/8386, numerators are 1608,1905
Denominators are 934,8386
The GCF of 1608,1905 is 3 .
LCM of 934,8386 is 3916262.
The greatest common factor of 1608/934,1905/8386 = [GCF of 1608,1905]/[LCM of 934,8386]= 3/3916262
Therefore, the GCF of 1608/934,1905/8386 is 3/3916262.
To find the highest common factor of 1608,1905, 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 1905 are 1, 3, 5, 15, 127, 381, 635, 1905
The HCF of 1608,1905 is 3.
Lets's calculate GCF of 1608,1905
| 3 | 1608, 1905 |
| 536, 635 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1608,1905 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 1905
:1,3,5,15,127,381,635,1905
Greatest Common Factor
We found the factors 1608,1905 . The biggest common factor number is the GCF number.
So the greatest common factor 1608,1905 is 3.
Lets's calculate LCM of 934,8386
| 2 | 934, 8386 |
| 467, 4193 |
∴ So the LCM of the given numbers is 2 x 467 x 4193 = 3916262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3916262
Therefore, the GCF of Fractions 1608/934,1905/8386 is 3/3916262
Least Common Multiple of 934,8386 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 934,8386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,8386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,8386) x common factors =2 x 1 = 2
LCM(934,8386) = ( 934 × 8386 ) / 2
LCM(934,8386) = 7832524 / 2
LCM(934,8386) = 3916262
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FAQs on GCF of Fractions of 1608/934, 1905/8386
1. What is the HCF of 1608,1905?
The HCF of 1608,1905 is 3
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 1608/934, 1905/8386?
Answer: GCF of Numerators as per given numbers 1608/934, 1905/8386 is
GCF of Numerators i.e. for 1608,1905 is 3
LCM of denominators i.e. for 934,8386 is 3916262.
Thus, GCF of Fractions is 3/3916262.Finally, GCF of Fractions for 1608/934, 1905/8386 is 3/3916262.