GCF of 997/294, 965/362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 997/294, 965/362 i.e 1/53214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 997/294, 965/362.
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 997/294,965/362?
Given fractions are 997/294,965/362
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 997/294,965/362, numerators are 997,965
Denominators are 294,362
The GCF of 997,965 is 1 .
LCM of 294,362 is 53214.
The greatest common factor of 997/294,965/362 = [GCF of 997,965]/[LCM of 294,362]= 1/53214
Therefore, the GCF of 997/294,965/362 is 1/53214.
To find the highest common factor of 997,965, we have to find the factors of both numbers and list the highest common factor.
The factors of 997 are 1, 997
The factors of 965 are 1, 5, 193, 965
The HCF of 997,965 is 1.
Lets's calculate GCF of 997,965
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 997,965 By Matching Biggest Common Factor Method
Now, list down the factors of 997
:1,997
Now, list down the factors of 965
:1,5,193,965
Greatest Common Factor
We found the factors 997,965 . The biggest common factor number is the GCF number.
So the greatest common factor 997,965 is 1.
Lets's calculate LCM of 294,362
| 2 | 294, 362 |
| 147, 181 |
∴ So the LCM of the given numbers is 2 x 147 x 181 = 53214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53214
Therefore, the GCF of Fractions 997/294,965/362 is 1/53214
Least Common Multiple of 294,362 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 294,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(294,362) x common factors =2 x 1 = 2
LCM(294,362) = ( 294 × 362 ) / 2
LCM(294,362) = 106428 / 2
LCM(294,362) = 53214
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FAQs on GCF of Fractions of 997/294, 965/362
1. What is the HCF of 997,965?
The HCF of 997,965 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 997/294, 965/362?
Answer: GCF of Numerators as per given numbers 997/294, 965/362 is
GCF of Numerators i.e. for 997,965 is 1
LCM of denominators i.e. for 294,362 is 53214.
Thus, GCF of Fractions is 1/53214.Finally, GCF of Fractions for 997/294, 965/362 is 1/53214.