GCF of 1617/347, 3954/3067
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1617/347, 3954/3067 i.e 3/1064249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1617/347, 3954/3067.
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 1617/347,3954/3067?
Given fractions are 1617/347,3954/3067
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 1617/347,3954/3067, numerators are 1617,3954
Denominators are 347,3067
The GCF of 1617,3954 is 3 .
LCM of 347,3067 is 1064249.
The greatest common factor of 1617/347,3954/3067 = [GCF of 1617,3954]/[LCM of 347,3067]= 3/1064249
Therefore, the GCF of 1617/347,3954/3067 is 3/1064249.
To find the highest common factor of 1617,3954, we have to find the factors of both numbers and list the highest common factor.
The factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617
The factors of 3954 are 1, 2, 3, 6, 659, 1318, 1977, 3954
The HCF of 1617,3954 is 3.
Lets's calculate GCF of 1617,3954
| 3 | 1617, 3954 |
| 539, 1318 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1617,3954 By Matching Biggest Common Factor Method
Now, list down the factors of 1617
:1,3,7,11,21,33,49,77,147,231,539,1617
Now, list down the factors of 3954
:1,2,3,6,659,1318,1977,3954
Greatest Common Factor
We found the factors 1617,3954 . The biggest common factor number is the GCF number.
So the greatest common factor 1617,3954 is 3.
Lets's calculate LCM of 347,3067
Given numbers has no common factors except 1. So, there LCM is their product i.e 1064249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1064249
Therefore, the GCF of Fractions 1617/347,3954/3067 is 3/1064249
Least Common Multiple of 347,3067 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 347,3067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,3067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,3067) x common factors =1 x 1 = 1
LCM(347,3067) = ( 347 × 3067 ) / 1
LCM(347,3067) = 1064249 / 1
LCM(347,3067) = 1064249
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FAQs on GCF of Fractions of 1617/347, 3954/3067
1. What is the HCF of 1617,3954?
The HCF of 1617,3954 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 1617/347, 3954/3067?
Answer: GCF of Numerators as per given numbers 1617/347, 3954/3067 is
GCF of Numerators i.e. for 1617,3954 is 3
LCM of denominators i.e. for 347,3067 is 1064249.
Thus, GCF of Fractions is 3/1064249.Finally, GCF of Fractions for 1617/347, 3954/3067 is 3/1064249.