GCF of 583/934, 960/127, 191/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 583/934, 960/127, 191/741 i.e 1/87895938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/934, 960/127, 191/741.
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 583/934,960/127,191/741?
Given fractions are 583/934,960/127,191/741
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 583/934,960/127,191/741, numerators are 583,960,191
Denominators are 934,127,741
The GCF of 583,960,191 is 1 .
LCM of 934,127,741 is 87895938.
The greatest common factor of 583/934,960/127,191/741 = [GCF of 583,960,191]/[LCM of 934,127,741]= 1/87895938
Therefore, the GCF of 583/934,960/127,191/741 is 1/87895938.
To find the highest common factor of 583,960,191, we have to find the factors of both numbers and list the highest common factor.
The factors of 583 are 1, 11, 53, 583
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The factors of 191 are 1, 191
The HCF of 583,960,191 is 1.
Lets's calculate GCF of 583,960,191
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 583,960,191 By Matching Biggest Common Factor Method
Now, list down the factors of 583
:1,11,53,583
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Now, list down the factors of 191
:1,191
Greatest Common Factor
We found the factors 583,960,191 . The biggest common factor number is the GCF number.
So the greatest common factor 583,960,191 is 1.
Lets's calculate LCM of 934,127,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 87895938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87895938
Therefore, the GCF of Fractions 583/934,960/127,191/741 is 1/87895938
Least Common Multiple of 934,127,741 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 934,127,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,127,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,127,741) x common factors =1 x 1 = 1
LCM(934,127,741) = ( 934 × 127 × 741 ) / 1
LCM(934,127,741) = 87895938 / 1
LCM(934,127,741) = 87895938
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FAQs on GCF of Fractions of 583/934, 960/127, 191/741
1. What is the HCF of 583,960,191?
The HCF of 583,960,191 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 583/934, 960/127, 191/741?
Answer: GCF of Numerators as per given numbers 583/934, 960/127, 191/741 is
GCF of Numerators i.e. for 583,960,191 is 1
LCM of denominators i.e. for 934,127,741 is 87895938.
Thus, GCF of Fractions is 1/87895938.Finally, GCF of Fractions for 583/934, 960/127, 191/741 is 1/87895938.