GCF of 263/83, 134/345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 263/83, 134/345 i.e 1/28635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/83, 134/345.
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 263/83,134/345?
Given fractions are 263/83,134/345
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 263/83,134/345, numerators are 263,134
Denominators are 83,345
The GCF of 263,134 is 1 .
LCM of 83,345 is 28635.
The greatest common factor of 263/83,134/345 = [GCF of 263,134]/[LCM of 83,345]= 1/28635
Therefore, the GCF of 263/83,134/345 is 1/28635.
To find the highest common factor of 263,134, we have to find the factors of both numbers and list the highest common factor.
The factors of 263 are 1, 263
The factors of 134 are 1, 2, 67, 134
The HCF of 263,134 is 1.
Lets's calculate GCF of 263,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 263,134 By Matching Biggest Common Factor Method
Now, list down the factors of 263
:1,263
Now, list down the factors of 134
:1,2,67,134
Greatest Common Factor
We found the factors 263,134 . The biggest common factor number is the GCF number.
So the greatest common factor 263,134 is 1.
Lets's calculate LCM of 83,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 28635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28635
Therefore, the GCF of Fractions 263/83,134/345 is 1/28635
Least Common Multiple of 83,345 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 83,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,345) x common factors =1 x 1 = 1
LCM(83,345) = ( 83 × 345 ) / 1
LCM(83,345) = 28635 / 1
LCM(83,345) = 28635
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 263/83, 134/345
1. What is the HCF of 263,134?
The HCF of 263,134 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 263/83, 134/345?
Answer: GCF of Numerators as per given numbers 263/83, 134/345 is
GCF of Numerators i.e. for 263,134 is 1
LCM of denominators i.e. for 83,345 is 28635.
Thus, GCF of Fractions is 1/28635.Finally, GCF of Fractions for 263/83, 134/345 is 1/28635.