GCF of 4142/173, 2017/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4142/173, 2017/154 i.e 1/26642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4142/173, 2017/154.
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 4142/173,2017/154?
Given fractions are 4142/173,2017/154
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 4142/173,2017/154, numerators are 4142,2017
Denominators are 173,154
The GCF of 4142,2017 is 1 .
LCM of 173,154 is 26642.
The greatest common factor of 4142/173,2017/154 = [GCF of 4142,2017]/[LCM of 173,154]= 1/26642
Therefore, the GCF of 4142/173,2017/154 is 1/26642.
To find the highest common factor of 4142,2017, we have to find the factors of both numbers and list the highest common factor.
The factors of 4142 are 1, 2, 19, 38, 109, 218, 2071, 4142
The factors of 2017 are 1, 2017
The HCF of 4142,2017 is 1.
Lets's calculate GCF of 4142,2017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4142,2017 By Matching Biggest Common Factor Method
Now, list down the factors of 4142
:1,2,19,38,109,218,2071,4142
Now, list down the factors of 2017
:1,2017
Greatest Common Factor
We found the factors 4142,2017 . The biggest common factor number is the GCF number.
So the greatest common factor 4142,2017 is 1.
Lets's calculate LCM of 173,154
Given numbers has no common factors except 1. So, there LCM is their product i.e 26642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26642
Therefore, the GCF of Fractions 4142/173,2017/154 is 1/26642
Least Common Multiple of 173,154 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 173,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,154) x common factors =1 x 1 = 1
LCM(173,154) = ( 173 × 154 ) / 1
LCM(173,154) = 26642 / 1
LCM(173,154) = 26642
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FAQs on GCF of Fractions of 4142/173, 2017/154
1. What is the HCF of 4142,2017?
The HCF of 4142,2017 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 4142/173, 2017/154?
Answer: GCF of Numerators as per given numbers 4142/173, 2017/154 is
GCF of Numerators i.e. for 4142,2017 is 1
LCM of denominators i.e. for 173,154 is 26642.
Thus, GCF of Fractions is 1/26642.Finally, GCF of Fractions for 4142/173, 2017/154 is 1/26642.