GCF of 357/934, 923/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 357/934, 923/361 i.e 1/337174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 357/934, 923/361.
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 357/934,923/361?
Given fractions are 357/934,923/361
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 357/934,923/361, numerators are 357,923
Denominators are 934,361
The GCF of 357,923 is 1 .
LCM of 934,361 is 337174.
The greatest common factor of 357/934,923/361 = [GCF of 357,923]/[LCM of 934,361]= 1/337174
Therefore, the GCF of 357/934,923/361 is 1/337174.
To find the highest common factor of 357,923, we have to find the factors of both numbers and list the highest common factor.
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The factors of 923 are 1, 13, 71, 923
The HCF of 357,923 is 1.
Lets's calculate GCF of 357,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 357,923 By Matching Biggest Common Factor Method
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Now, list down the factors of 923
:1,13,71,923
Greatest Common Factor
We found the factors 357,923 . The biggest common factor number is the GCF number.
So the greatest common factor 357,923 is 1.
Lets's calculate LCM of 934,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 337174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337174
Therefore, the GCF of Fractions 357/934,923/361 is 1/337174
Least Common Multiple of 934,361 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 934,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,361) x common factors =1 x 1 = 1
LCM(934,361) = ( 934 × 361 ) / 1
LCM(934,361) = 337174 / 1
LCM(934,361) = 337174
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FAQs on GCF of Fractions of 357/934, 923/361
1. What is the HCF of 357,923?
The HCF of 357,923 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 357/934, 923/361?
Answer: GCF of Numerators as per given numbers 357/934, 923/361 is
GCF of Numerators i.e. for 357,923 is 1
LCM of denominators i.e. for 934,361 is 337174.
Thus, GCF of Fractions is 1/337174.Finally, GCF of Fractions for 357/934, 923/361 is 1/337174.