GCF of 584/113, 359/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 584/113, 359/274 i.e 1/30962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 584/113, 359/274.
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 584/113,359/274?
Given fractions are 584/113,359/274
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 584/113,359/274, numerators are 584,359
Denominators are 113,274
The GCF of 584,359 is 1 .
LCM of 113,274 is 30962.
The greatest common factor of 584/113,359/274 = [GCF of 584,359]/[LCM of 113,274]= 1/30962
Therefore, the GCF of 584/113,359/274 is 1/30962.
To find the highest common factor of 584,359, we have to find the factors of both numbers and list the highest common factor.
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The factors of 359 are 1, 359
The HCF of 584,359 is 1.
Lets's calculate GCF of 584,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 584,359 By Matching Biggest Common Factor Method
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Now, list down the factors of 359
:1,359
Greatest Common Factor
We found the factors 584,359 . The biggest common factor number is the GCF number.
So the greatest common factor 584,359 is 1.
Lets's calculate LCM of 113,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 30962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30962
Therefore, the GCF of Fractions 584/113,359/274 is 1/30962
Least Common Multiple of 113,274 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 113,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,274) x common factors =1 x 1 = 1
LCM(113,274) = ( 113 × 274 ) / 1
LCM(113,274) = 30962 / 1
LCM(113,274) = 30962
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FAQs on GCF of Fractions of 584/113, 359/274
1. What is the HCF of 584,359?
The HCF of 584,359 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 584/113, 359/274?
Answer: GCF of Numerators as per given numbers 584/113, 359/274 is
GCF of Numerators i.e. for 584,359 is 1
LCM of denominators i.e. for 113,274 is 30962.
Thus, GCF of Fractions is 1/30962.Finally, GCF of Fractions for 584/113, 359/274 is 1/30962.