GCF of 592/613, 945/951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 592/613, 945/951 i.e 1/582963 easily. The following is the detailed procedure to determine the greatest common factor of fractions 592/613, 945/951.
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 592/613,945/951?
Given fractions are 592/613,945/951
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 592/613,945/951, numerators are 592,945
Denominators are 613,951
The GCF of 592,945 is 1 .
LCM of 613,951 is 582963.
The greatest common factor of 592/613,945/951 = [GCF of 592,945]/[LCM of 613,951]= 1/582963
Therefore, the GCF of 592/613,945/951 is 1/582963.
To find the highest common factor of 592,945, we have to find the factors of both numbers and list the highest common factor.
The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The HCF of 592,945 is 1.
Lets's calculate GCF of 592,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 592,945 By Matching Biggest Common Factor Method
Now, list down the factors of 592
:1,2,4,8,16,37,74,148,296,592
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 592,945 . The biggest common factor number is the GCF number.
So the greatest common factor 592,945 is 1.
Lets's calculate LCM of 613,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 582963
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582963
Therefore, the GCF of Fractions 592/613,945/951 is 1/582963
Least Common Multiple of 613,951 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 613,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,951) x common factors =1 x 1 = 1
LCM(613,951) = ( 613 × 951 ) / 1
LCM(613,951) = 582963 / 1
LCM(613,951) = 582963
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FAQs on GCF of Fractions of 592/613, 945/951
1. What is the HCF of 592,945?
The HCF of 592,945 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 592/613, 945/951?
Answer: GCF of Numerators as per given numbers 592/613, 945/951 is
GCF of Numerators i.e. for 592,945 is 1
LCM of denominators i.e. for 613,951 is 582963.
Thus, GCF of Fractions is 1/582963.Finally, GCF of Fractions for 592/613, 945/951 is 1/582963.