GCF of 727/23, 345/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 727/23, 345/154 i.e 1/3542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/23, 345/154.
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 727/23,345/154?
Given fractions are 727/23,345/154
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 727/23,345/154, numerators are 727,345
Denominators are 23,154
The GCF of 727,345 is 1 .
LCM of 23,154 is 3542.
The greatest common factor of 727/23,345/154 = [GCF of 727,345]/[LCM of 23,154]= 1/3542
Therefore, the GCF of 727/23,345/154 is 1/3542.
To find the highest common factor of 727,345, we have to find the factors of both numbers and list the highest common factor.
The factors of 727 are 1, 727
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345
The HCF of 727,345 is 1.
Lets's calculate GCF of 727,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 727,345 By Matching Biggest Common Factor Method
Now, list down the factors of 727
:1,727
Now, list down the factors of 345
:1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 727,345 . The biggest common factor number is the GCF number.
So the greatest common factor 727,345 is 1.
Lets's calculate LCM of 23,154
Given numbers has no common factors except 1. So, there LCM is their product i.e 3542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3542
Therefore, the GCF of Fractions 727/23,345/154 is 1/3542
Least Common Multiple of 23,154 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 23,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,154) x common factors =1 x 1 = 1
LCM(23,154) = ( 23 × 154 ) / 1
LCM(23,154) = 3542 / 1
LCM(23,154) = 3542
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FAQs on GCF of Fractions of 727/23, 345/154
1. What is the HCF of 727,345?
The HCF of 727,345 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 727/23, 345/154?
Answer: GCF of Numerators as per given numbers 727/23, 345/154 is
GCF of Numerators i.e. for 727,345 is 1
LCM of denominators i.e. for 23,154 is 3542.
Thus, GCF of Fractions is 1/3542.Finally, GCF of Fractions for 727/23, 345/154 is 1/3542.