GCF of 1706/908, 3749/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1706/908, 3749/159 i.e 1/144372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1706/908, 3749/159.
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 1706/908,3749/159?
Given fractions are 1706/908,3749/159
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 1706/908,3749/159, numerators are 1706,3749
Denominators are 908,159
The GCF of 1706,3749 is 1 .
LCM of 908,159 is 144372.
The greatest common factor of 1706/908,3749/159 = [GCF of 1706,3749]/[LCM of 908,159]= 1/144372
Therefore, the GCF of 1706/908,3749/159 is 1/144372.
To find the highest common factor of 1706,3749, we have to find the factors of both numbers and list the highest common factor.
The factors of 1706 are 1, 2, 853, 1706
The factors of 3749 are 1, 23, 163, 3749
The HCF of 1706,3749 is 1.
Lets's calculate GCF of 1706,3749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1706,3749 By Matching Biggest Common Factor Method
Now, list down the factors of 1706
:1,2,853,1706
Now, list down the factors of 3749
:1,23,163,3749
Greatest Common Factor
We found the factors 1706,3749 . The biggest common factor number is the GCF number.
So the greatest common factor 1706,3749 is 1.
Lets's calculate LCM of 908,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 144372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144372
Therefore, the GCF of Fractions 1706/908,3749/159 is 1/144372
Least Common Multiple of 908,159 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 908,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(908,159) x common factors =1 x 1 = 1
LCM(908,159) = ( 908 × 159 ) / 1
LCM(908,159) = 144372 / 1
LCM(908,159) = 144372
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FAQs on GCF of Fractions of 1706/908, 3749/159
1. What is the HCF of 1706,3749?
The HCF of 1706,3749 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 1706/908, 3749/159?
Answer: GCF of Numerators as per given numbers 1706/908, 3749/159 is
GCF of Numerators i.e. for 1706,3749 is 1
LCM of denominators i.e. for 908,159 is 144372.
Thus, GCF of Fractions is 1/144372.Finally, GCF of Fractions for 1706/908, 3749/159 is 1/144372.