GCF of 263/334, 414/397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 263/334, 414/397 i.e 1/132598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/334, 414/397.
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 263/334,414/397?
Given fractions are 263/334,414/397
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 263/334,414/397, numerators are 263,414
Denominators are 334,397
The GCF of 263,414 is 1 .
LCM of 334,397 is 132598.
The greatest common factor of 263/334,414/397 = [GCF of 263,414]/[LCM of 334,397]= 1/132598
Therefore, the GCF of 263/334,414/397 is 1/132598.
To find the highest common factor of 263,414, 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 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
The HCF of 263,414 is 1.
Lets's calculate GCF of 263,414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 263,414 By Matching Biggest Common Factor Method
Now, list down the factors of 263
:1,263
Now, list down the factors of 414
:1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 263,414 . The biggest common factor number is the GCF number.
So the greatest common factor 263,414 is 1.
Lets's calculate LCM of 334,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 132598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132598
Therefore, the GCF of Fractions 263/334,414/397 is 1/132598
Least Common Multiple of 334,397 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 334,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,397) x common factors =1 x 1 = 1
LCM(334,397) = ( 334 × 397 ) / 1
LCM(334,397) = 132598 / 1
LCM(334,397) = 132598
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FAQs on GCF of Fractions of 263/334, 414/397
1. What is the HCF of 263,414?
The HCF of 263,414 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 263/334, 414/397?
Answer: GCF of Numerators as per given numbers 263/334, 414/397 is
GCF of Numerators i.e. for 263,414 is 1
LCM of denominators i.e. for 334,397 is 132598.
Thus, GCF of Fractions is 1/132598.Finally, GCF of Fractions for 263/334, 414/397 is 1/132598.