GCF of 1692/173, 3017/834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1692/173, 3017/834 i.e 1/144282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1692/173, 3017/834.
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 1692/173,3017/834?
Given fractions are 1692/173,3017/834
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 1692/173,3017/834, numerators are 1692,3017
Denominators are 173,834
The GCF of 1692,3017 is 1 .
LCM of 173,834 is 144282.
The greatest common factor of 1692/173,3017/834 = [GCF of 1692,3017]/[LCM of 173,834]= 1/144282
Therefore, the GCF of 1692/173,3017/834 is 1/144282.
To find the highest common factor of 1692,3017, we have to find the factors of both numbers and list the highest common factor.
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
The factors of 3017 are 1, 7, 431, 3017
The HCF of 1692,3017 is 1.
Lets's calculate GCF of 1692,3017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1692,3017 By Matching Biggest Common Factor Method
Now, list down the factors of 1692
:1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Now, list down the factors of 3017
:1,7,431,3017
Greatest Common Factor
We found the factors 1692,3017 . The biggest common factor number is the GCF number.
So the greatest common factor 1692,3017 is 1.
Lets's calculate LCM of 173,834
Given numbers has no common factors except 1. So, there LCM is their product i.e 144282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144282
Therefore, the GCF of Fractions 1692/173,3017/834 is 1/144282
Least Common Multiple of 173,834 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 173,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,834) x common factors =1 x 1 = 1
LCM(173,834) = ( 173 × 834 ) / 1
LCM(173,834) = 144282 / 1
LCM(173,834) = 144282
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FAQs on GCF of Fractions of 1692/173, 3017/834
1. What is the HCF of 1692,3017?
The HCF of 1692,3017 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 1692/173, 3017/834?
Answer: GCF of Numerators as per given numbers 1692/173, 3017/834 is
GCF of Numerators i.e. for 1692,3017 is 1
LCM of denominators i.e. for 173,834 is 144282.
Thus, GCF of Fractions is 1/144282.Finally, GCF of Fractions for 1692/173, 3017/834 is 1/144282.