GCF of 1583/955, 1382/1928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1583/955, 1382/1928 i.e 1/1841240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1583/955, 1382/1928.
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 1583/955,1382/1928?
Given fractions are 1583/955,1382/1928
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 1583/955,1382/1928, numerators are 1583,1382
Denominators are 955,1928
The GCF of 1583,1382 is 1 .
LCM of 955,1928 is 1841240.
The greatest common factor of 1583/955,1382/1928 = [GCF of 1583,1382]/[LCM of 955,1928]= 1/1841240
Therefore, the GCF of 1583/955,1382/1928 is 1/1841240.
To find the highest common factor of 1583,1382, we have to find the factors of both numbers and list the highest common factor.
The factors of 1583 are 1, 1583
The factors of 1382 are 1, 2, 691, 1382
The HCF of 1583,1382 is 1.
Lets's calculate GCF of 1583,1382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1583,1382 By Matching Biggest Common Factor Method
Now, list down the factors of 1583
:1,1583
Now, list down the factors of 1382
:1,2,691,1382
Greatest Common Factor
We found the factors 1583,1382 . The biggest common factor number is the GCF number.
So the greatest common factor 1583,1382 is 1.
Lets's calculate LCM of 955,1928
Given numbers has no common factors except 1. So, there LCM is their product i.e 1841240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1841240
Therefore, the GCF of Fractions 1583/955,1382/1928 is 1/1841240
Least Common Multiple of 955,1928 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 955,1928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,1928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,1928) x common factors =1 x 1 = 1
LCM(955,1928) = ( 955 × 1928 ) / 1
LCM(955,1928) = 1841240 / 1
LCM(955,1928) = 1841240
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FAQs on GCF of Fractions of 1583/955, 1382/1928
1. What is the HCF of 1583,1382?
The HCF of 1583,1382 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 1583/955, 1382/1928?
Answer: GCF of Numerators as per given numbers 1583/955, 1382/1928 is
GCF of Numerators i.e. for 1583,1382 is 1
LCM of denominators i.e. for 955,1928 is 1841240.
Thus, GCF of Fractions is 1/1841240.Finally, GCF of Fractions for 1583/955, 1382/1928 is 1/1841240.