GCF of 1734/158, 6189/681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1734/158, 6189/681 i.e 3/107598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1734/158, 6189/681.
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 1734/158,6189/681?
Given fractions are 1734/158,6189/681
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 1734/158,6189/681, numerators are 1734,6189
Denominators are 158,681
The GCF of 1734,6189 is 3 .
LCM of 158,681 is 107598.
The greatest common factor of 1734/158,6189/681 = [GCF of 1734,6189]/[LCM of 158,681]= 3/107598
Therefore, the GCF of 1734/158,6189/681 is 3/107598.
To find the highest common factor of 1734,6189, we have to find the factors of both numbers and list the highest common factor.
The factors of 1734 are 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734
The factors of 6189 are 1, 3, 2063, 6189
The HCF of 1734,6189 is 3.
Lets's calculate GCF of 1734,6189
| 3 | 1734, 6189 |
| 578, 2063 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1734,6189 By Matching Biggest Common Factor Method
Now, list down the factors of 1734
:1,2,3,6,17,34,51,102,289,578,867,1734
Now, list down the factors of 6189
:1,3,2063,6189
Greatest Common Factor
We found the factors 1734,6189 . The biggest common factor number is the GCF number.
So the greatest common factor 1734,6189 is 3.
Lets's calculate LCM of 158,681
Given numbers has no common factors except 1. So, there LCM is their product i.e 107598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/107598
Therefore, the GCF of Fractions 1734/158,6189/681 is 3/107598
Least Common Multiple of 158,681 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 158,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,681) x common factors =1 x 1 = 1
LCM(158,681) = ( 158 × 681 ) / 1
LCM(158,681) = 107598 / 1
LCM(158,681) = 107598
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FAQs on GCF of Fractions of 1734/158, 6189/681
1. What is the HCF of 1734,6189?
The HCF of 1734,6189 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 1734/158, 6189/681?
Answer: GCF of Numerators as per given numbers 1734/158, 6189/681 is
GCF of Numerators i.e. for 1734,6189 is 3
LCM of denominators i.e. for 158,681 is 107598.
Thus, GCF of Fractions is 3/107598.Finally, GCF of Fractions for 1734/158, 6189/681 is 3/107598.