GCF of 1892/318, 9423/883
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1892/318, 9423/883 i.e 1/280794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1892/318, 9423/883.
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 1892/318,9423/883?
Given fractions are 1892/318,9423/883
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 1892/318,9423/883, numerators are 1892,9423
Denominators are 318,883
The GCF of 1892,9423 is 1 .
LCM of 318,883 is 280794.
The greatest common factor of 1892/318,9423/883 = [GCF of 1892,9423]/[LCM of 318,883]= 1/280794
Therefore, the GCF of 1892/318,9423/883 is 1/280794.
To find the highest common factor of 1892,9423, we have to find the factors of both numbers and list the highest common factor.
The factors of 1892 are 1, 2, 4, 11, 22, 43, 44, 86, 172, 473, 946, 1892
The factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423
The HCF of 1892,9423 is 1.
Lets's calculate GCF of 1892,9423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1892,9423 By Matching Biggest Common Factor Method
Now, list down the factors of 1892
:1,2,4,11,22,43,44,86,172,473,946,1892
Now, list down the factors of 9423
:1,3,9,27,349,1047,3141,9423
Greatest Common Factor
We found the factors 1892,9423 . The biggest common factor number is the GCF number.
So the greatest common factor 1892,9423 is 1.
Lets's calculate LCM of 318,883
Given numbers has no common factors except 1. So, there LCM is their product i.e 280794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280794
Therefore, the GCF of Fractions 1892/318,9423/883 is 1/280794
Least Common Multiple of 318,883 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 318,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(318,883) x common factors =1 x 1 = 1
LCM(318,883) = ( 318 × 883 ) / 1
LCM(318,883) = 280794 / 1
LCM(318,883) = 280794
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FAQs on GCF of Fractions of 1892/318, 9423/883
1. What is the HCF of 1892,9423?
The HCF of 1892,9423 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 1892/318, 9423/883?
Answer: GCF of Numerators as per given numbers 1892/318, 9423/883 is
GCF of Numerators i.e. for 1892,9423 is 1
LCM of denominators i.e. for 318,883 is 280794.
Thus, GCF of Fractions is 1/280794.Finally, GCF of Fractions for 1892/318, 9423/883 is 1/280794.