GCF of 1611/178, 2689/3134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1611/178, 2689/3134 i.e 1/278926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1611/178, 2689/3134.
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 1611/178,2689/3134?
Given fractions are 1611/178,2689/3134
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 1611/178,2689/3134, numerators are 1611,2689
Denominators are 178,3134
The GCF of 1611,2689 is 1 .
LCM of 178,3134 is 278926.
The greatest common factor of 1611/178,2689/3134 = [GCF of 1611,2689]/[LCM of 178,3134]= 1/278926
Therefore, the GCF of 1611/178,2689/3134 is 1/278926.
To find the highest common factor of 1611,2689, we have to find the factors of both numbers and list the highest common factor.
The factors of 1611 are 1, 3, 9, 179, 537, 1611
The factors of 2689 are 1, 2689
The HCF of 1611,2689 is 1.
Lets's calculate GCF of 1611,2689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1611,2689 By Matching Biggest Common Factor Method
Now, list down the factors of 1611
:1,3,9,179,537,1611
Now, list down the factors of 2689
:1,2689
Greatest Common Factor
We found the factors 1611,2689 . The biggest common factor number is the GCF number.
So the greatest common factor 1611,2689 is 1.
Lets's calculate LCM of 178,3134
| 2 | 178, 3134 |
| 89, 1567 |
∴ So the LCM of the given numbers is 2 x 89 x 1567 = 278926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278926
Therefore, the GCF of Fractions 1611/178,2689/3134 is 1/278926
Least Common Multiple of 178,3134 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 178,3134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,3134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,3134) x common factors =2 x 1 = 2
LCM(178,3134) = ( 178 × 3134 ) / 2
LCM(178,3134) = 557852 / 2
LCM(178,3134) = 278926
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FAQs on GCF of Fractions of 1611/178, 2689/3134
1. What is the HCF of 1611,2689?
The HCF of 1611,2689 is 1
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 1611/178, 2689/3134?
Answer: GCF of Numerators as per given numbers 1611/178, 2689/3134 is
GCF of Numerators i.e. for 1611,2689 is 1
LCM of denominators i.e. for 178,3134 is 278926.
Thus, GCF of Fractions is 1/278926.Finally, GCF of Fractions for 1611/178, 2689/3134 is 1/278926.