GCF of 937/582, 305/997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 937/582, 305/997 i.e 1/580254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/582, 305/997.
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 937/582,305/997?
Given fractions are 937/582,305/997
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 937/582,305/997, numerators are 937,305
Denominators are 582,997
The GCF of 937,305 is 1 .
LCM of 582,997 is 580254.
The greatest common factor of 937/582,305/997 = [GCF of 937,305]/[LCM of 582,997]= 1/580254
Therefore, the GCF of 937/582,305/997 is 1/580254.
To find the highest common factor of 937,305, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 305 are 1, 5, 61, 305
The HCF of 937,305 is 1.
Lets's calculate GCF of 937,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 937,305 By Matching Biggest Common Factor Method
Now, list down the factors of 937
:1,937
Now, list down the factors of 305
:1,5,61,305
Greatest Common Factor
We found the factors 937,305 . The biggest common factor number is the GCF number.
So the greatest common factor 937,305 is 1.
Lets's calculate LCM of 582,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 580254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/580254
Therefore, the GCF of Fractions 937/582,305/997 is 1/580254
Least Common Multiple of 582,997 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 582,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,997) x common factors =1 x 1 = 1
LCM(582,997) = ( 582 × 997 ) / 1
LCM(582,997) = 580254 / 1
LCM(582,997) = 580254
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FAQs on GCF of Fractions of 937/582, 305/997
1. What is the HCF of 937,305?
The HCF of 937,305 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 937/582, 305/997?
Answer: GCF of Numerators as per given numbers 937/582, 305/997 is
GCF of Numerators i.e. for 937,305 is 1
LCM of denominators i.e. for 582,997 is 580254.
Thus, GCF of Fractions is 1/580254.Finally, GCF of Fractions for 937/582, 305/997 is 1/580254.